diff --git a/android_app_market_on_google_play/android_app_market_on_google_play.ipynb b/android_app_market_on_google_play/android_app_market_on_google_play.ipynb index bd6715e..eceb611 100644 --- a/android_app_market_on_google_play/android_app_market_on_google_play.ipynb +++ b/android_app_market_on_google_play/android_app_market_on_google_play.ipynb @@ -1 +1 @@ -{"cells":[{"metadata":{"dc":{"key":"4"},"deletable":false,"editable":false,"run_control":{"frozen":true},"tags":["context"]},"cell_type":"markdown","source":["## 1. Google Play Store apps and reviews\n","

Mobile apps are everywhere. They are easy to create and can be lucrative. Because of these two factors, more and more apps are being developed. In this notebook, we will do a comprehensive analysis of the Android app market by comparing over ten thousand apps in Google Play across different categories. We'll look for insights in the data to devise strategies to drive growth and retention.

\n","

\"Google

\n","

Let's take a look at the data, which consists of two files:

\n",""]},{"metadata":{"dc":{"key":"4"},"tags":["sample_code"],"trusted":true},"cell_type":"code","source":["# Read in dataset\n","import pandas as pd\n","apps_with_duplicates = pd.read_csv(\"datasets/apps.csv\")\n","apps_with_duplicates.head()\n","\n","# Drop duplicates\n","apps = apps_with_duplicates.drop_duplicates(subset=\"App\")\n","\n","# Print the total number of apps\n","print('Total number of apps in the dataset = ', apps.shape[0])\n","\n","# Have a look at a random sample of 5 rows\n","n = 5\n","apps.sample(n)"],"execution_count":10,"outputs":[{"output_type":"stream","name":"stdout","text":"Total number of apps in the dataset = 9659\n"},{"output_type":"execute_result","data":{"text/plain":" Unnamed: 0 App Category Rating Reviews Size \\\n7153 8227 DB Customer Connect BUSINESS 4.2 100 6.3M \n2549 3277 DuraSpeed TOOLS 3.8 5431 1.3M \n5416 6425 BL 1-Click Camera PHOTOGRAPHY NaN 4 1.4M \n3387 4273 J. Polep Plus Mobile PRODUCTIVITY NaN 0 44M \n4764 5748 Digital Clock AW-7 TOOLS 4.1 484 2.9M \n\n Installs Type Price Content Rating Genres \\\n7153 10,000+ Free 0 Everyone Business \n2549 10,000,000+ Free 0 Everyone Tools \n5416 100+ Paid $3.99 Everyone Photography \n3387 100+ Free 0 Everyone Productivity \n4764 100,000+ Free 0 Everyone Tools \n\n Last Updated Current Ver Android Ver \n7153 July 21, 2018 2.0.0 4.1 and up \n2549 November 13, 2017 1.5.0 6.0 and up \n5416 August 18, 2016 2.0.160818 2.3 and up \n3387 March 26, 2018 1.1.4 5.0 and up \n4764 March 6, 2018 2.0 4.3 and up ","text/html":"
\n\n\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n
Unnamed: 0AppCategoryRatingReviewsSizeInstallsTypePriceContent RatingGenresLast UpdatedCurrent VerAndroid Ver
71538227DB Customer ConnectBUSINESS4.21006.3M10,000+Free0EveryoneBusinessJuly 21, 20182.0.04.1 and up
25493277DuraSpeedTOOLS3.854311.3M10,000,000+Free0EveryoneToolsNovember 13, 20171.5.06.0 and up
54166425BL 1-Click CameraPHOTOGRAPHYNaN41.4M100+Paid$3.99EveryonePhotographyAugust 18, 20162.0.1608182.3 and up
33874273J. Polep Plus MobilePRODUCTIVITYNaN044M100+Free0EveryoneProductivityMarch 26, 20181.1.45.0 and up
47645748Digital Clock AW-7TOOLS4.14842.9M100,000+Free0EveryoneToolsMarch 6, 20182.04.3 and up
\n
"},"metadata":{},"execution_count":10}]},{"metadata":{"dc":{"key":"11"},"deletable":false,"editable":false,"run_control":{"frozen":true},"tags":["context"]},"cell_type":"markdown","source":["## 2. Data cleaning\n","

The three features that we will be working with most frequently henceforth are Installs, Size, and Price. A careful glance of the dataset reveals that some of these columns mandate data cleaning in order to be consumed by code we'll write later. Specifically, the presence of special characters (, $ +) and letters (M k) in the Installs, Size, and Price columns make their conversion to a numerical data type difficult. Let's clean by removing these and converting each column to a numeric type.

"]},{"metadata":{"dc":{"key":"11"},"tags":["sample_code"],"trusted":true},"cell_type":"code","source":["# List of characters to remove\n","chars_to_remove = ['+', ',', 'M', '$']\n","# List of column names to clean\n","cols_to_clean = ['Installs', 'Size', 'Price']\n","\n","# Loop for each column\n","for col in cols_to_clean:\n"," # Replace each character with an empty string\n"," for char in chars_to_remove:\n"," apps[col] = apps[col].str.replace(char, '')\n"," # Convert col to numeric\n"," apps[col] = pd.to_numeric(apps[col]) "],"execution_count":11,"outputs":[]},{"metadata":{"dc":{"key":"18"},"deletable":false,"editable":false,"run_control":{"frozen":true},"tags":["context"]},"cell_type":"markdown","source":["## 3. Exploring app categories\n","

With more than 1 billion active users in 190 countries around the world, Google Play continues to be an important distribution platform to build a global audience. For businesses to get their apps in front of users, it's important to make them more quickly and easily discoverable on Google Play. To improve the overall search experience, Google has introduced the concept of grouping apps into categories.

\n","

This brings us to the following questions:

\n","\n","

We will see that there are 33 unique app categories present in our dataset. Family and Game apps have the highest market prevalence. Interestingly, Tools, Business and Medical apps are also at the top.

"]},{"metadata":{"dc":{"key":"18"},"tags":["sample_code"],"trusted":true},"cell_type":"code","source":["import plotly\n","plotly.offline.init_notebook_mode(connected=True)\n","import plotly.graph_objs as go\n","\n","# Print the total number of unique categories\n","num_categories = len(apps['Category'].unique())\n","print('Number of categories = ', num_categories)\n","\n","# Count the number of apps in each 'Category' and sort them in descending order\n","num_apps_in_category = apps['Category'].value_counts().sort_values(ascending = False)\n","\n","data = [go.Bar(\n"," x = num_apps_in_category.index, # index = category name\n"," y = num_apps_in_category.values, # value = count\n",")]\n","\n","plotly.offline.iplot(data)"],"execution_count":12,"outputs":[{"output_type":"display_data","data":{"text/html":" \n "},"metadata":{}},{"output_type":"stream","name":"stdout","text":"Number of categories = 33\n"},{"output_type":"display_data","data":{"application/vnd.plotly.v1+json":{"config":{"linkText":"Export to 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\n \n \n
\n \n
"},"metadata":{}}]},{"metadata":{"dc":{"key":"25"},"deletable":false,"editable":false,"run_control":{"frozen":true},"tags":["context"]},"cell_type":"markdown","source":["## 4. Distribution of app ratings\n","

After having witnessed the market share for each category of apps, let's see how all these apps perform on an average. App ratings (on a scale of 1 to 5) impact the discoverability, conversion of apps as well as the company's overall brand image. Ratings are a key performance indicator of an app.

\n","

From our research, we found that the average volume of ratings across all app categories is 4.17. The histogram plot is skewed to the right indicating that the majority of the apps are highly rated with only a few exceptions in the low-rated apps.

"]},{"metadata":{"dc":{"key":"25"},"tags":["sample_code"],"trusted":true},"cell_type":"code","source":["# Average rating of apps\n","avg_app_rating = apps['Rating'].mean()\n","print('Average app rating = ', avg_app_rating)\n","\n","# Distribution of apps according to their ratings\n","data = [go.Histogram(\n"," x = apps['Rating']\n",")]\n","\n","# Vertical dashed line to indicate the average app rating\n","layout = {'shapes': [{\n"," 'type' :'line',\n"," 'x0': avg_app_rating,\n"," 'y0': 0,\n"," 'x1': avg_app_rating,\n"," 'y1': 1000,\n"," 'line': { 'dash': 'dashdot'}\n"," }]\n"," }\n","\n","plotly.offline.iplot({'data': data, 'layout': layout})"],"execution_count":13,"outputs":[{"output_type":"stream","name":"stdout","text":"Average app rating = 4.173243045387994\n"},{"output_type":"display_data","data":{"application/vnd.plotly.v1+json":{"config":{"linkText":"Export to 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"},"metadata":{}}]},{"metadata":{"dc":{"key":"32"},"deletable":false,"editable":false,"run_control":{"frozen":true},"tags":["context"]},"cell_type":"markdown","source":["## 5. Size and price of an app\n","

Let's now examine app size and app price. For size, if the mobile app is too large, it may be difficult and/or expensive for users to download. Lengthy download times could turn users off before they even experience your mobile app. Plus, each user's device has a finite amount of disk space. For price, some users expect their apps to be free or inexpensive. These problems compound if the developing world is part of your target market; especially due to internet speeds, earning power and exchange rates.

\n","

How can we effectively come up with strategies to size and price our app?

\n","\n","

We find that the majority of top rated apps (rating over 4) range from 2 MB to 20 MB. We also find that the vast majority of apps price themselves under \\$10.

"]},{"metadata":{"dc":{"key":"32"},"tags":["sample_code"],"trusted":true},"cell_type":"code","source":["%matplotlib inline\n","import seaborn as sns\n","sns.set_style(\"darkgrid\")\n","import warnings\n","warnings.filterwarnings(\"ignore\")\n","\n","# Plot size vs. rating\n","plt1 = sns.jointplot(x = apps['Size'], y = apps['Rating'], kind = 'hex')\n","\n","# Subset out apps whose type is 'Paid'\n","paid_apps = apps[apps['Type'] == 'Paid']\n","\n","# Plot price vs. rating\n","plt2 = sns.jointplot(x = paid_apps['Price'], y = paid_apps['Rating'])"],"execution_count":14,"outputs":[{"output_type":"display_data","data":{"text/plain":"
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\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n 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\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n 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JGsLr5oBup2Hphr2uDbnkhYQH355ZeaNWuWnnjiCY0YMSK4fdu2bXrkkUeUmZmpkpISzZkzJ1ElhNR+3FP7mci7E6mdnBnNASRDNAN103lgbmcJCSiv16vVq1crNze3y/b169dr06ZNysvLU1lZmSZPnqzTTz89bsfu7u4p0AJ6/j8MiEvrOC3oQN9Fm3liJeQzqIqKCs2dO1eDBg3qsP3gwYMaMmSIBgwYoOzsbF100UXavXt3XI8dTZv5Hz6oiVvrOC3oQN9Fm3lixf0O6oUXXtDAgQM1fvx4bdiwocM+j8cjt9sd/Lpfv37yeDzdvqfLZamwMD9uNfrtyK3jPTlWtO/jcmXE9WfoLZPqMakWyax6TKpFMqseE2qJ1GaeiNosy1J+XnbE1+TmZKlwQG7E16SLuAfU5s2bZVmW3n77bVVXV2vZsmV69NFHVVRUpIKCAjU0NARf29DQ0CGwwvH57LgupZxhSYMKQs9YXuzO6dGxws183vl9TFsO2qR6TKpFMqsek2qRzKrHhFrCrWiQYSnq2oqKur8GBti2rcZTLRFf09TsVV1d5PXsTBPuHMT9Ed8zzzyjp59+Whs3btTo0aNVUVGhoqK2rpMRI0bo8OHDqqurU0tLi959911deOGFcT1+NG3m148dHLfWcVrQgb6LNvPESkqb+csvv6zGxkaVlpaqvLxcixYtkm3bKikpUXFxfBsJumsz7zx7eW+772hBB/quZLeZ9zWWbdvGT8rh9fp6dCtfVV2r+177SC2+8D/aYHeOvj/8NL356fGkBIsJjyPaM6kek2qRzKrHpFoks+oxqRYp9np68oiv2evTgWMnQ+4LjH/Kz3IpJ81msgh3Dhw3ULequlb3Vh3odi6smvrmDu2htIcDMF2kcVBOGv8U4Lipjip3Hop5okbawwHAHI4LqN7OMM4M5QBgBscFVG9nGGeGcgAwg+MCavH4oTFPdU97OACYw3EBNXV0se6dep6yXZFTarA7RyXnD9Zgd46s//16xZXn0iABAIZwXBefJO05ciJii7mltq69Nz89Hrxjqtx5SD/dckCVOw8xjgnohBn7w1v83Pva/devW78vOau/KudckMKKnMNxAdV5duFQAtFVU9+sn1UdkGVZ8v5v6x/t5kBHzNgfXudwkqTdfz2pxc+9T0jFgeMCqqezCLfakjqNVQ60m/f1Xz5Aijxjf1//HekcTt1t761ICxZalqVmW2k3SDcSxwVUrGOgOqPdHGgTacZ+JFd3CxZOGjVIOQ4arOu4JolYO/g6o90caBPud4HfESSa4wKqp7MIZ1ptc1i1R7s58DVm7A/vkrP692g7esZxAVU+ZaRKzo8cUoE4GuzO0eqp52nV1SNpNwfCmDq6WCuuPJffkRAq51zQJYzo4osfR85mHmDSbMcm1SKZVY9JtUhm1WNSLZJZ9ZhUi5Sc2cybWlr1+52fht2frhPG9pnZzKXQrZ8BuS5LzT6bsRwAYDjHBVSkcJKkJh/jnQAgHTguoHoy/oCxHADSSaRxUIH9ThoL5biA6inGcgBIF92Ng5KcNRbKcV18PcVYDgAwk+MCqifjDxjLAQDmclxAhRqX0F6uy2IsBwCkAUd+BlU554KQ3XyXnNVfH33eqCZfq2rqm/XTLQe0essBDablHEAEkZYbYSmSxHFkQIVrNe+8rf2yG7ScAwgl0nIjkliKJIEc94hPim2q+0DLOQC0F2m5kUj70HuOvIOKFS3nADqLZbkRriXxQUC1Q8s5gM6K3TmqCRE4getFpH3x1nmgblaGJVenQbn5Wc4YAyU59BFfLFPd03IOIJRIy40keymSwEDdwH8uSzot29XhP6fMIiE5NKDCtZpfclZ/Dcj9+qax/bIbtJwDCCXSciMsRZJYCXnE5/P5tHLlSn322WeyLEtr1qzRyJEjg/uffPJJPf/88xo4cKAkac2aNRo+fHjcjh+ui+/dv56ULYVtK4+2XZS2UqBvCYQRkishAbV9+3ZJ0rPPPqtdu3bpoYce0qOPPhrcv3fvXlVUVGjMmDFxP3ak2cwjtZVHaiVt/xcz2tcBcD6uB4mVkEd8U6ZM0dq1ayVJR48eVf/+HR+37du3Txs2bFBZWZkef/zxuB472hbzzq2g0baL0lYKIIDrQWIlrIsvMzNTy5Yt09atW/XLX/6yw75p06Zp3rx5Kigo0JIlS7R9+3ZNmjQp7Hu5XJYKC/PjXmNtfXPwfSO1krY/drSv68zlykjIzxArk+oxqRbJrHpMqkUyqx4Taon1ehAry7KUn5cd/Do3J0uFA3LjfhxTJLTNvKKiQkuXLtWcOXP0yiuvKD8/X7Zt66abbpLb3bbE78SJE7V///6IAeXz2QlZ2rnYnRN830itpO2PHe3rOnPK8tSJYFItkln1mFSLZFY9JtQS6/WgvZ4s+W7bthpPtQS/bmr2qq7OH+E70kO4c5CQR3wvvvhi8NFdXl6eLMtSRkbboTwej6ZPn66GhgbZtq1du3bF9bOoaFvMO7eCRtsumuy2UgDmSvb1IDAOKvBfdqZzxjyFkpA7qCuvvFLLly/XjTfeqNbWVq1YsUJbt25VY2OjSktLdeedd2rBggXKzs7WZZddpokTJ8bt2OEmipXa2srDdfEF/txdd160rwPgfMm+HnResHDSqEHq55DFCUOxbNu2u39Zanm9vh7dyldV12rdax+pydf1R8t1WcrJculkU6uK3Tn6/vDT9OanxxPeWm7C44j2TKrHpFoks+oxqRbJrHpMqkWKvZ6ePOJramnV73d+Gvx60qhBOs0BARXuHDhuqqOq6lr9dMsBhUvdJp+tJl+rpLaW0M17aoL7aC0HAHM4biaJyp2HwoZTNGgtBwAzOC6g4jGLcOf3iGU2YwBA7zguoOIxi3Dn9wj3nsx+DgCJ47iAWjx+qHozmS+t5QBgBsc1SQSaFuLZxUdrOQATBMZBBdaBctLaT6E4LqCkrwPlsTcP6+iJpg77Wv222j+YO/8fBqh8ykh1h9mMAaRaYByUU9rLu+PIgOrcFt5eqy2daPq6zZx2cQAwk+M+g5JCt4WHQ7s4AJjJkQHV0/Zv2sUBwDyODKietn/TLg4A5nFkQIVqCw+HdnEAMJMjmyQidfFlWlK/nMxgmznt4gBgJkcGVGDm8Zr6ZmVYkt8OvcQGAMBcjguozi3m/v8dq0tLOYB0Z1mWJpw3yPEDdAMc9xlUpBZzWsoBpDPbtuWypJzezOeWRhwXUN21jNNSDgDpwXEB1V3LOC3lAJAeHBdQkVrMaSkHgPQRVZPEr371qw5fZ2VlafDgwbrmmmuUlZWVkMJi1X7mcbr4ACB9RRVQBw4cUE5Oji6++GLt2bNHx44dU1FRkd544w098MADia6xxwIzjxcW5quurjHV5QAAYhBVQJ08eVK///3vJUlz587VwoUL9cADD6isrCyhxcXq/j9+pM17aoJf52VlaPkV50piTScASBdRBVR9fb2++uorDRw4UMePH1d9fb28Xq+ampq6/+Yk6xxOknTK69e9VQeUobblNiTGRQFIP5ZlybIsHW/xBbflZ7kc23YeVUD95Cc/0Zw5c1RQUKDGxkatXLlSv/vd7zR79uxE19djf/igJuR2vy11Hh0VGBdFQAFIB7Zta1t1bYdtk0YNUo5DFy+MKqAmTZqkiRMn6quvvtI3vvGNttHMEyYkuraY+Luu8h4R46IAwExRBdSbb76pJ598Us3NX1/Mn3rqqYQV1RuBrr1oMS4KAMwUVUCtX79eK1as0ODBgxNdT69dP3Zwl8+gpLbgav8ZlMS4KAAwWVQBdcYZZ+h73/teomuJi/IpIyWJLj4ASHNRBdQ3vvENrV69Wt/61rdkWW3tIqWlpWFf7/P5tHLlSn322WeyLEtr1qzRyJEjg/u3bdumRx55RJmZmSopKdGcOXN6+WN0dP4/DNDWDz/Xyea2TpdTXr9WbzkgSSo5f3AwxAAA5ooqoM4880xJ0hdffBHVm27fvl2S9Oyzz2rXrl166KGH9Oijj0qSvF6v1q9fr02bNikvL09lZWWaPHmyTj/99Fjq76KqulY/qzrQ4VFee4E7K0IKAMwWMaBqamo0ePBgTZs2rUdvOmXKFP3gBz+QJB09elT9+/cP7jt48KCGDBmiAQMGSJIuuugi7d69W1OnTu1h6aFV7jwUNpwC/vBBDQEFAIaLGFC/+93vtHz5cq1evVqWZcm22678lmV128WXmZmpZcuWaevWrfrlL38Z3O7xeOR2u4Nf9+vXTx6PJ+J7uVyWCgvzu/1hpOjaxv22on6/eHG5MpJ+zEhMqsekWiSz6jGpFsmsekyqRUpOPRkZlsaPKlZWpqUcV9vYp345LvXPNWtO1HiJGFDLly+XJN18882aPHlycPuWLVuievOKigotXbpUc+bM0SuvvKL8/HwVFBSooaEh+JqGhoYOgRWKz2dHPadesTtHNd2EVIalpM/RZ9q8gCbVY1Itkln1mFSLZFY9JtUixV5PUVHk6197fr+tnR/WatKoQcrLaOsH8Df5Vdfk7fFxTRLuHEQMqO3bt+u///u/9corr+j999+XJPn9fv3pT3/SNddcE/b7XnzxRdXW1uqWW25RXl6eLMtSRkbbEhgjRozQ4cOHVVdXp/z8fL377rtatGhRrD9XF4vHD434GZTU1ooOADBbxIAaNWqU6urqlJOTo2HDhklqe7zX3WdSV155pZYvX64bb7xRra2tWrFihbZu3arGxkaVlpaqvLxcixYtkm3bKikpUXFx/Fq9A23jP//TJ8Euvvbo4gOA9GDZgQ+WIvD7/cE7IEn6+9//rkGDBiW0sPa8Xl9Mt86Fhfmat+Et7f7ryeC2S87qr8o5F3R4XVV1bcLHRznlcUQimFSLZFY9JtUimVVPvGvp7XUgGY/4mlpa9fudn2rSqEE6zUHz74U7B1GtqPvwww/ru9/9ri666CJ9+9vf1s033xzX4hJlwe/+q0M4SdLuv57U4ufeD35dVV2rda9/rJr6Ztn6epbzqk4TMgJwLq4DZooqoLZt26YdO3ZoxowZ2rJlS1wfySXS259+FXJ7+9Cq3HlITa0d5zkPzHIOoG/gOmCmqAKqqKhI2dnZamho0Nlnny2vN707RtoL15bOLOdA38F1wExRBdTgwYODMz88+OCDqq+vT3RdSRNuNnNmOQf6jnS5DliWpQnnDVJ+lnM+f4okYkC1trbq9ddf1/Tp0/W9731P99xzj3JycjR06NAkldc7lw0fGHL7JWd9PbPF4vFDlZvZ8TQwyznQt6TLdcC2bbksOXYF3c4itpkvXbpULpdLX3zxha644gqdeeaZ+vd//3ctWLAgWfX1ylM3X9ptF1+gS4dZzoG+i+uAmSIG1F/+8he98MILamlpUUlJibKysvTUU09pxIgRyaovJvf/8SP94YOa4MKFeVkZavL6VezO0Yz/c0aX108dXcxfRKCP4zpgnogBVVBQIEnKzs6W3+/XE088ocLCwqQUFqv7//hRlwULT3nbunMCraOS+IsIAIaLqklCalsTyvRwktpmKo+E1lEASA8R76A++eQT3XXXXbJtO/jngAcffDDhxcXC3+28GLSOAkA6iBhQ//qv/xr889y5cxNeTDxkWN2HlGmtowCAriIG1KWXXpqsOuLm+rGDu3wG1Z6JraMAgK6iWvI9nQRmKg/XxUfrKIB0ZVmWsjP7xiBdqQdNEumkfMpI7fr/JujB2WPVP8elU16/bEmnvF2X3wCAdGHbtlpa+851zHF3UAFV1bX62asH1H7+xxNNrVr76keSaDMHANM58g5KahsR3mlyYkmS12/TZg4AacCxARWplZw2cwAwn2MDKlIrOW3mAGA+xwbU4vFDlRnip8vKsGgzB4A04NiAmjq6WBWz2rr4AgbkZmrV1SNpkACANODYLj5Juvb8b2rC2ebPHwgA0ehr46AcHVDtVVXXqnLnIdXUNwenQxrMwF0AaSQwDqpfdt8IqT4RUFXVtVr3+sdq+t++88AMEyy/AQDmcuxnUO1V7jwUDKfOWH4DAMzUJwKqu3FPjIsCAPP0iYDqbtwT46IAwDx9IqAWjx+q3FCDosTyGwBgqj7RJBFogKCLDwDSR9wDyuv1asWKFTpy5IhaWlp066236vLLL7oO8B0AABKGSURBVA/uf/LJJ/X8889r4MCBkqQ1a9Zo+PDh8S5DkvTSnqN64LUDqq1vZi0oAEgzcQ+ol156SYWFhXrggQdUV1enmTNndgiovXv3qqKiQmPGjIn3oTuoqq7Vuq0fq8nb1r1HSzmAdJdhWcrP6htjoKQEfAZ19dVX6/bbb5fUNqjM5ep4Mvft26cNGzaorKxMjz/+eLwPH1S581AwnAJoKQeQzlwZlnKsVFeRPHG/g+rXr58kyePx6LbbbtMdd9zRYf+0adM0b948FRQUaMmSJdq+fbsmTZoU8T1dLkuFhfk9qiNc63htfXOP3yseXK6MlBw3HJPqMakWyax6TKpFMqsek2qRklOPZfX8WpjOEtIkcezYMf34xz/WvHnzNGPGjOB227Z10003ye12S5ImTpyo/fv3dxtQPp+turrGHtVQ7M5RTYiQKnbn9Pi94qGwMD8lxw3HpHpMqkUyqx6TapHMqsekWqTY6ykqckf9Wtvu+bUwHYQ7B3F/xPfFF19o4cKFuvvuuzV79uwO+zwej6ZPn66GhgbZtq1du3Yl7LOoxeOHKjer449HSzkApI+430E99thjOnnypCorK1VZWSlJuuGGG3Tq1CmVlpbqzjvv1IIFC5Sdna3LLrtMEydOjHcJktoaIfrl59DFBwBpKu4BtXLlSq1cuTLs/pkzZ2rmzJnxPmwXVdW1+sX2g6o71SpJOuX1JfyYAID4ceRA3arqWv2s6oBa7a+3nWhq1dpXP5JEmzkApANHTnVUufNQh3AK8Ppt2swBpC2/bet4i0/NIa5vTuTIgIo0OzkzlwNIVz6/re0f/l2NfeQjC0cGVKTZyZm5HADSgyMDavH4ocoMMdo6K8OizRwA0oQjmyQCTRDtu/gG5GbqrskjaJAAgDThyICqqq7Vz//0iU42tz2nJZwAIP04LqBoMQcAZ3DcZ1C0mAOAMzguoGgxB+BUGZalSaMG9Zk1oRwXULSYA3AqV4al07JdfWZNKMcFFC3mAOAMjmuSCDRB0MUHAOnNcQEltYXU1NHFxi1oBgCInuMe8QEAnIGAAgAYiYACABiJgAIAGImAAgAYiYACABiJgAIAGImAAgAYiYACABiJgAIAGImAAgAYiYACABiJgAIAGImAAgAYKe7LbXi9Xq1YsUJHjhxRS0uLbr31Vl1++eXB/du2bdMjjzyizMxMlZSUaM6cOfEuoYOq6lpV7jyk2vpmFbtztHj8UNaFAoA0EPeAeumll1RYWKgHHnhAdXV1mjlzZjCgvF6v1q9fr02bNikvL09lZWWaPHmyTj/99HiX0VbLnqNa9/rHamr1S5Jq6pu17vWPJYmQAgDDxf0R39VXX63bb79dkmTbtlwuV3DfwYMHNWTIEA0YMEDZ2dm66KKLtHv37niXEPTg1o+C4RTQ1OpX5c5DCTsmACA+4n4H1a9fP0mSx+PRbbfdpjvuuCO4z+PxyO12d3itx+Pp9j1dLkuFhfk9ruXYiaaQ22vrm2N6v95wuTKSfsxITKrHpFoks+oxqRbJrHpMqkVKTj2WFdu1MF0lZMn3Y8eO6cc//rHmzZunGTNmBLcXFBSooaEh+HVDQ0OHwArH57NjWrr9jAG5OhoipIrdOUlfCt605edNqsekWiSz6jGpFsmsekyqRYq9nqKi7q+BAbYd27XQdOHOQdwf8X3xxRdauHCh7r77bs2ePbvDvhEjRujw4cOqq6tTS0uL3n33XV144YXxLiHoritGKjez44+Ym5mhxeOHJuyYAID4iPsd1GOPPaaTJ0+qsrJSlZWVkqQbbrhBp06dUmlpqcrLy7Vo0SLZtq2SkhIVFyeuWeHa87+phsZmuvgAIA1Ztm3bqS6iO16vL6bbWpMeAZhUi2RWPSbVIplVj0m1SGbVY1ItUnIe8fl8fn31VUP3L0wzSXvEBwBAPBBQAAAjEVAAACMRUAAAIxFQAAAjEVAAACMlZCYJE1RV1+qxNw/r2Ikmxj8BQBpyZEBVVdcyizkApDlHPuKr3HmIWcwBIM05MqBq65t7tB0AYB5HBlSxO6dH2wEA5nFkQC0eP5RZzAEgzTmySSLQCEEXHwCkL0feQUltIfV/l/5Aa645T5L00y0HNGPDLlVV16a4MgBANBx5BxXw0p6jtJsDQJpy7B2UJD249SPazQEgTTk6oI6daAq5nXZzADCfowPqjAG5IbfTbg4A5nN0QN11xUjazQEgTTm6SeLa87+phsZmVe48pNr6ZtrNASCNODqgpLZuPQIJANKPox/xAQDSFwEFADASAQUAMBIBBQAwEgEFADASAQUAMBIBBQAwUsICas+ePZo/f36X7U8++aSmTZum+fPna/78+fr0008TVQIAII0lZKDur3/9a7300kvKy8vrsm/v3r2qqKjQmDFjEnFoAIBDJOQOasiQIXr44YdD7tu3b582bNigsrIyPf7444k4PADAARJyB3XVVVfpb3/7W8h906ZN07x581RQUKAlS5Zo+/btmjRpUsT3c7ksFRbm97gOlysjpu9LBJNqkcyqx6RaJLPqMakWyax6TKpFSk49lhXbtTBdJXUuPtu2ddNNN8ntdkuSJk6cqP3793cbUD6frbq6xh4fr7AwP6bvSwSTapHMqsekWiSz6jGpFsmsekyqRYq9nqIid9Svte3YroWmC3cOktrF5/F4NH36dDU0NMi2be3atYvPogAAISXlDurll19WY2OjSktLdeedd2rBggXKzs7WZZddpokTJyajBABAmrFs27ZTXUR3vF4fj/jizKR6TKpFMqsek2qRzKrHpFqk5Dzi8/n8+uqrhh4fw3RGPOIDACBaBBQAwEgEFADASAQUAMBIBBQAwEgEFADASAQUAMBIBBQAwEgEFADASAQUAMBIBBQAwEgEFADASAQUAMBIBBQAwEgEFADASAQUAMBIBBQAwEgEFADASAQUAMBIBBQAwEgEFADASAQUAMBIBBQApAm/bavZTnUVyUNAAUCa8PltNXp9qS4jaQgoAICRCCgAgJEIKACAkTJTXUCiVFXX6qE/f6rjjV5JUv8cl5Zefo6mji5OcWUAgGgk7A5qz549mj9/fpft27ZtU0lJiUpLS/Xcc88l5NhV1bVa++pHwXCSpJPNPv2s6oCqqmsTckwAQHwl5A7q17/+tV566SXl5eV12O71erV+/Xpt2rRJeXl5Kisr0+TJk3X66afH9fiVOw/J6+/ai9lqt+3jLgoAzJeQgBoyZIgefvhh3XPPPR22Hzx4UEOGDNGAAQMkSRdddJF2796tqVOnRnw/l8tSYWF+1MevrW+OuK8n7xUvLldGSo4bjkn1mFSLZFY9JtUimVWPSbVIyanHlWHpG/1z1T83K6HHMUVCAuqqq67S3/72ty7bPR6P3G538Ot+/frJ4/F0+34+n626usaoj1/szlFNmJAqduf06L3ipbAwPyXHDcekekyqRTKrHpNqkcyqx6RapNjrKSpyd/+iAFvyN3lV1+Tt/rVpJNw5SGoXX0FBgRoaGoJfNzQ0dAiseFk8fqiyMqwu2zOttn0AAPMlNaBGjBihw4cPq66uTi0tLXr33Xd14YUXxv04U0cXa9XVI3Va/te3wf1zXFo99Tw+fwKANJGUNvOXX35ZjY2NKi0tVXl5uRYtWiTbtlVSUqLi4sQExtTRxSq7bJhRjwAAANFLWECdeeaZwTbyGTNmBLdPnjxZkydPTtRhAQAOwUwSAAAjEVAAACMRUAAAIxFQAAAjEVAAACMRUAAAIxFQAAAjEVAAACMRUAAAI1m2bXddOAkAgBTjDgoAYCQCCgBgJAIKAGAkAgoAYCQCCgBgJAIKAGAkAgoAYKSkLPmeTH6/X/fee68OHDig7Oxs3XfffTr77LOTXsf111+vgoICSW2rC5eWlupf/uVf5HK5NG7cOC1ZsiThNezZs0c///nPtXHjRh0+fFjl5eWyLEvnnnuufvrTnyojI0O/+tWv9Oc//1mZmZlasWKFxo4dm5R69u/fr1tuuUVDhw6VJJWVlemaa65JSj1er1crVqzQkSNH1NLSoltvvVXnnHNOSs5PqFrOOOOMlJ0bn8+nlStX6rPPPpNlWVqzZo1ycnJScm5C1dLa2pqycxPw5ZdfatasWXriiSeUmZmZ8t8rR7Md5rXXXrOXLVtm27Zt/8///I/9ox/9KOk1NDU12dddd12Hbddee619+PBh2+/32//4j/9o79u3L6E1bNiwwZ4+fbp9ww032LZt27fccov9zjvv2LZt26tWrbJff/11e+/evfb8+fNtv99vHzlyxJ41a1bS6nnuuefs3/72tx1ek6x6Nm3aZN933322bdv28ePH7YkTJ6bs/ISqJZXnZuvWrXZ5eblt27b9zjvv2D/60Y9Sdm5C1ZLKc2Pbtt3S0mIvXrzYvvLKK+1PPvkk5b9XTue4R3zvvfeexo8fL0m64IILtHfv3qTX8OGHH+rUqVNauHChFixYoN27d6ulpUVDhgyRZVkaN26c3nrrrYTWMGTIED388MPBr/ft26dLL71UkjRhwgS99dZbeu+99zRu3DhZlqVvfvOb8vl8+uqrr5JSz969e/XnP/9ZN954o1asWCGPx5O0eq6++mrdfvvtkiTbtuVyuVJ2fkLVkspzM2XKFK1du1aSdPToUfXv3z9l5yZULak8N5JUUVGhuXPnatCgQZJS/3vldI4LKI/HE3y0Jkkul0utra1JrSE3N1eLFi3Sb3/7W61Zs0bLly9XXl5ecH+/fv1UX1+f0BquuuoqZWZ+/QTXtm1ZltXh+J3PVSLr6lzP2LFjdc899+iZZ57RWWedpUceeSRp9fTr108FBQXyeDy67bbbdMcdd6Ts/ISqJZXnRpIyMzO1bNkyrV27VjNmzEjp353OtaTy3LzwwgsaOHBg8B/AUup/r5zOcQFVUFCghoaG4Nd+v7/DhTEZhg0bpmuvvVaWZWnYsGFyu92qq6sL7m9oaFD//v2TWlNGxtf/qwPH73yuGhoa5Ha7k1LPFVdcoTFjxgT/vH///qTWc+zYMS1YsEDXXXedZsyYkdLz07mWVJ8bqe1O4bXXXtOqVavU3Nzc4bjJ/rvTvpZx48al7Nxs3rxZb731lubPn6/q6motW7asw52RCb9XTuO4gPrOd76jHTt2SJLef/99jRw5Muk1bNq0Sffff78kqba2VqdOnVJ+fr7+8pe/yLZtvfHGG7r44ouTWtO3vvUt7dq1S5K0Y8cOXXzxxfrOd76jN954Q36/X0ePHpXf79fAgQOTUs+iRYv0wQcfSJLefvttffvb305aPV988YUWLlyou+++W7Nnz5aUuvMTqpZUnpsXX3xRjz/+uCQpLy9PlmVpzJgxKTk3oWpZsmRJys7NM888o6efflobN27U6NGjVVFRoQkTJhj1e+U0juviu+KKK/Tmm29q7ty5sm1b69atS3oNs2fP1vLly1VWVibLsrRu3TplZGRo6dKl8vl8GjdunM4///yk1rRs2TKtWrVKv/jFLzR8+HBdddVVcrlcuvjii1VaWiq/36/Vq1cnrZ57771Xa9euVVZWlk4//XStXbtWBQUFSannscce08mTJ1VZWanKykpJ0j//8z/rvvvuS/r5CVVLeXm51q1bl5Jzc+WVV2r58uW68cYb1draqhUrVmjEiBEp+bsTqpYzzjgjZX9vQjHt98ppWG4DAGAkxz3iAwA4AwEFADASAQUAMBIBBQAwEgEFADCS49rMgVB27dqlO+64Q+ecc44kqbm5WTNmzND8+fODr9mxY4eOHTum0tLSVJUJoB0CCn3Gd7/7XT300EOSpJaWFl199dW67rrrgrN6TJgwIZXlAeiEgEKf5PF4lJGRoR/+8Ic666yzdOLECU2bNk2HDx/W0qVLVVlZqT/+8Y/y+XwqKyvT3LlztXHjRv3nf/6nLMvSNddcowULFqT6xwAcjYBCn/HOO+9o/vz5sixLWVlZWrVqlX7zm99o+vTpuuKKK/TCCy9Ikvbv368dO3bo+eefl8/n0y9+8Qt9/PHH2rJli/7t3/5NknTzzTdr3LhxGj58eCp/JMDRCCj0Ge0f8QX85je/0bBhwzps++yzzzR27Fi5XC65XC6Vl5dry5YtOnr0qH74wx9Kkk6cOKHDhw8TUEAC0cWHPi+wXELA8OHDtX//fvn9fnm9Xt18880aPny4zjnnHD311FPauHGjZs2apfPOOy9FFQN9A3dQQCejR4/W+PHjVVZWJr/fr7KyMo0aNUqXXXaZysrK1NLSorFjx6q4uDjVpQKOxmSxAAAj8YgPAGAkAgoAYCQCCgBgJAIKAGAkAgoAYCQCCgBgJAIKAGCk/x8vgM0PSWigTwAAAABJRU5ErkJggg==\n"},"metadata":{}}]},{"metadata":{"dc":{"key":"39"},"deletable":false,"editable":false,"run_control":{"frozen":true},"tags":["context"]},"cell_type":"markdown","source":["## 6. Relation between app category and app price\n","

So now comes the hard part. How are companies and developers supposed to make ends meet? What monetization strategies can companies use to maximize profit? The costs of apps are largely based on features, complexity, and platform.

\n","

There are many factors to consider when selecting the right pricing strategy for your mobile app. It is important to consider the willingness of your customer to pay for your app. A wrong price could break the deal before the download even happens. Potential customers could be turned off by what they perceive to be a shocking cost, or they might delete an app they’ve downloaded after receiving too many ads or simply not getting their money's worth.

\n","

Different categories demand different price ranges. Some apps that are simple and used daily, like the calculator app, should probably be kept free. However, it would make sense to charge for a highly-specialized medical app that diagnoses diabetic patients. Below, we see that Medical and Family apps are the most expensive. Some medical apps extend even up to \\$80! All game apps are reasonably priced below \\$20.

"]},{"metadata":{"dc":{"key":"39"},"tags":["sample_code"],"trusted":true},"cell_type":"code","source":["import matplotlib.pyplot as plt\n","fig, ax = plt.subplots()\n","fig.set_size_inches(15, 8)\n","\n","# Select a few popular app categories\n","popular_app_cats = apps[apps.Category.isin(['GAME', 'FAMILY', 'PHOTOGRAPHY',\n"," 'MEDICAL', 'TOOLS', 'FINANCE',\n"," 'LIFESTYLE','BUSINESS'])]\n","\n","# Examine the price trend by plotting Price vs Category\n","ax = sns.stripplot(x = popular_app_cats['Price'], y = popular_app_cats['Category'], jitter=True, linewidth=1)\n","ax.set_title('App pricing trend across categories')\n","\n","# Apps whose Price is greater than 200\n","apps_above_200 = popular_app_cats[['Category', 'App', 'Price']][popular_app_cats['Price'] > 200]\n","apps_above_200"],"execution_count":15,"outputs":[{"output_type":"execute_result","data":{"text/plain":" Category App Price\n3327 FAMILY most expensive app (H) 399.99\n3465 LIFESTYLE 💎 I'm rich 399.99\n3469 LIFESTYLE I'm Rich - Trump Edition 400.00\n4396 LIFESTYLE I am rich 399.99\n4398 FAMILY I am Rich Plus 399.99\n4399 LIFESTYLE I am rich VIP 299.99\n4400 FINANCE I Am Rich Premium 399.99\n4401 LIFESTYLE I am extremely Rich 379.99\n4402 FINANCE I am Rich! 399.99\n4403 FINANCE I am rich(premium) 399.99\n4406 FAMILY I Am Rich Pro 399.99\n4408 FINANCE I am rich (Most expensive app) 399.99\n4410 FAMILY I Am Rich 389.99\n4413 FINANCE I am Rich 399.99\n4417 FINANCE I AM RICH PRO PLUS 399.99\n8763 FINANCE Eu Sou Rico 394.99\n8780 LIFESTYLE I'm Rich/Eu sou Rico/أنا غني/我很有錢 399.99","text/html":"
\n\n\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n
CategoryAppPrice
3327FAMILYmost expensive app (H)399.99
3465LIFESTYLE💎 I'm rich399.99
3469LIFESTYLEI'm Rich - Trump Edition400.00
4396LIFESTYLEI am rich399.99
4398FAMILYI am Rich Plus399.99
4399LIFESTYLEI am rich VIP299.99
4400FINANCEI Am Rich Premium399.99
4401LIFESTYLEI am extremely Rich379.99
4402FINANCEI am Rich!399.99
4403FINANCEI am rich(premium)399.99
4406FAMILYI Am Rich Pro399.99
4408FINANCEI am rich (Most expensive app)399.99
4410FAMILYI Am Rich389.99
4413FINANCEI am Rich399.99
4417FINANCEI AM RICH PRO PLUS399.99
8763FINANCEEu Sou Rico394.99
8780LIFESTYLEI'm Rich/Eu sou Rico/أنا غني/我很有錢399.99
\n
"},"metadata":{},"execution_count":15},{"output_type":"display_data","data":{"text/plain":"
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\n"},"metadata":{}}]},{"metadata":{"dc":{"key":"46"},"deletable":false,"editable":false,"run_control":{"frozen":true},"tags":["context"]},"cell_type":"markdown","source":["## 7. Filter out \"junk\" apps\n","

It looks like a bunch of the really expensive apps are \"junk\" apps. That is, apps that don't really have a purpose. Some app developer may create an app called I Am Rich Premium or most expensive app (H) just for a joke or to test their app development skills. Some developers even do this with malicious intent and try to make money by hoping people accidentally click purchase on their app in the store.

\n","

Let's filter out these junk apps and re-do our visualization. The distribution of apps under \\$20 becomes clearer.

"]},{"metadata":{"dc":{"key":"46"},"tags":["sample_code"],"trusted":true},"cell_type":"code","source":["# Select apps priced below $100\n","apps_under_100 = popular_app_cats[popular_app_cats['Price'] < 100]\n","\n","fig, ax = plt.subplots()\n","fig.set_size_inches(15, 8)\n","\n","# Examine price vs category with the authentic apps\n","ax = sns.stripplot(x=apps_under_100['Price'], y=apps_under_100['Category'], data=apps_under_100,\n"," jitter=True, linewidth=1)\n","ax.set_title('App pricing trend across categories after filtering for junk apps')"],"execution_count":16,"outputs":[{"output_type":"execute_result","data":{"text/plain":"Text(0.5, 1.0, 'App pricing trend across categories after filtering for junk apps')"},"metadata":{},"execution_count":16},{"output_type":"display_data","data":{"text/plain":"
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\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n 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\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n 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\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n 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\n"},"metadata":{}}]},{"metadata":{"dc":{"key":"53"},"deletable":false,"editable":false,"run_control":{"frozen":true},"tags":["context"]},"cell_type":"markdown","source":["## 8. Popularity of paid apps vs free apps\n","

For apps in the Play Store today, there are five types of pricing strategies: free, freemium, paid, paymium, and subscription. Let's focus on free and paid apps only. Some characteristics of free apps are:

\n","
    \n","
  • Free to download.
  • \n","
  • Main source of income often comes from advertisements.
  • \n","
  • Often created by companies that have other products and the app serves as an extension of those products.
  • \n","
  • Can serve as a tool for customer retention, communication, and customer service.
  • \n","
\n","

Some characteristics of paid apps are:

\n","
    \n","
  • Users are asked to pay once for the app to download and use it.
  • \n","
  • The user can't really get a feel for the app before buying it.
  • \n","
\n","

Are paid apps installed as much as free apps? It turns out that paid apps have a relatively lower number of installs than free apps, though the difference is not as stark as I would have expected!

"]},{"metadata":{"dc":{"key":"53"},"tags":["sample_code"],"trusted":true},"cell_type":"code","source":["trace0 = go.Box(\n"," # Data for paid apps\n"," y=apps[apps['Type'] == 'Paid']['Installs'],\n"," name = 'Paid'\n",")\n","\n","trace1 = go.Box(\n"," # Data for free apps\n"," y=apps[apps['Type'] == 'Free']['Installs'],\n"," name = 'Free'\n",")\n","\n","layout = go.Layout(\n"," title = \"Number of downloads of paid apps vs. free apps\",\n"," yaxis = dict(\n"," type = 'log',\n"," autorange = True\n"," )\n",")\n","\n","# Add trace0 and trace1 to a list for plotting\n","data = [trace0, trace1]\n","plotly.offline.iplot({'data': data, 'layout': layout})"],"execution_count":17,"outputs":[{"output_type":"display_data","data":{"application/vnd.plotly.v1+json":{"config":{"linkText":"Export to plot.ly","plotlyServerURL":"https://plot.ly","showLink":false},"data":[{"name":"Paid","type":"box","y":[100000,100000,100000,10000,1000,50,100,100,100,1000,1000,500000,100000,100000,100000,10000,50000,100000,10000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,5000,5000,1000,500,100000,10000,10000,1000,1000,1000,100,100,1000,5000,5000,1000,10000,10000,5000,1000,10000,10000,50000,10000000,1000000,100000,10000,10000,10000,10000,10000,5000,5000,100000,50000,1000,10000,50000,1000,1000,10000,1000,1000,1000,100,5000,5000,500,1000,10000,1000,100,1000,500,5000,1000,500,1000,5000,10000,1000,10000,100,1000,5000,10000,1000,1000,100,50000,1000,1000,5000,5000,1000,10000,50,1000,10000,1000,1000,500,500,1000,5000,1000,100,1,50,10,1,1000000,100000,100000,50000,1000000,1000000,10000,10000,100000,100000,100000,100,100,5000,1000,100,1000,500,50000,10000,10000,10000000,100000,100000,100000,10000,10,100000,500000,5,10,10,500,5000,1000,1000,100,100,5000,5000,500,5000,10,500,100,5000,500,100,10000,50000,1,1000000,10,10000,500,1000,100,1000,10000,10000,100000,1000,5000,100000,10000,1000,10000,1000,10000,100000,1000,5000,10000,10000,10000,10000,100,100,5000,100,5,100,1000,100,10,500,1,100,10000,10,0,100,100,1,100,5000,500,10,5000,100,50,1000,50000,100000,100000,50000,100,1000,1000,100,10000,100000,10000,5000,5000,10000,1000,10000,5000,10000,100000,50,50000,50000,10000,500,1000,10000,5000,10000,1000,10000,5000,50,10000,1000,100000,10000,50000,1000,1000000,10000,100,10,50000,10000,500000,1000,10000,10000,50000,10000,10000,100000,1000,10000,5000,100,1000,10000,1000,10,100000,1000,5000,100,500,5000,1,100,5000,1000,100,500,50000,100,10,100,50,10,50,10,10,0,10000,100000,10000,10000,50000,1000,1000,5000,1000,10000,5000,1000,10000,10000,5000,5000,1000,100000,100000,1000,1000,10,100,500,100,5,10,0,10,1000000,1,1000,1000000,50000,500000,1000000,100000,100000,100000,10000,1000,5000,100,1000,100,10000,100000,1000,10,1,1,10,1,1000,1000,1000,500,1000,1,5,100,10,0,5000,1000,1000,100,50,50000,10,50,100000,100000,1000,1000,1000,5000,50000,500,5000,10,100000,50000,10000,100,100000,50000,100000,50000,1,10,500,100,100,10000,50,5,10,100,50,100,500,10000,500,1000,500,1000,1000,10,5000,1000,100000,1000,1000,100,10,1000,1000,100,1000,50,1000,1,1000000,100000,5000,0,50000,10,50,1000,1000,10000,10,5,500,100000,1000,1000,100000,1000,500000,10000,100,1000,1000,1000,100,100,100,500,500,10000,100,1000,10000,10000,100,50,1000,1,1000,1000,1000,10,5000,500,50000,5,1000,50,10,10,1000,1000000,100000,10000,10000,50000,1000,10000,10,10,5,1000000,100,10,10,10,100000,10000,10000,100,10000,100000,100000,100000,10000,10000,50000,10000,10000,5000,100,100,1000,10,100,10,500,100,100,100,500000,100,10,10,100,100,1000,50,100,100,50000,1000,1000,100,100,5000,100,100,10000,5000,5000,100,10,10,1,1000,500,10000,1000,100000,10,10,10,1000,10,1000,1,5,10,100000,100000,10000,10000,500,50,500,10,10,1,50000,50,5000,10,10000,10,10,10,100,100,10000,50,1000,100,10,500000,1000,1,50000,10,1000,5,50,5000,10000,10,5000,1000,50000,50000,10000,10000,100000,10000,100000,100000,100000,1000,10000,500,50000,100000,100,1000,10000,50000,100000,50000,1000000,100,50,10000,10,50,1000000,100000,1000,10000,100000,5000,10000,1000,100,10000,5000,100000,100,10,500,50,50,50,10,100,50,500,10000,10000,10,1,1,1000000,500000,1000000,1000000,5,1000,1000,500,100,10000,1000,50,0,50000,50,10000,1000,500000,1000,100000,10000,1000,10000,1000,5000,1000,100000,10000,1000,100,100,1000000,500,50000,1000,50,100,100000,50,500,0,100000,10,500000,500,50000,1000,10000,0,10,0,100,10000,0,1000000,10000,100000,100000,500000,10000,50000,5000,5000,1000,5000,5000,5000,5000,50,100,500,100000,100,50000,100,10000,10000,10000,1000,1000,1000,100,5000,100,100000,10000,1000,1000,5000,5000,100000,10,10,10,10,10,10,5,10,50,100000,1000000,100,1,100,1000,10000,10000,50]},{"name":"Free","type":"box","y":[10000,500000,5000000,50000000,100000,50000,50000,1000000,1000000,10000,1000000,1000000,10000000,100000,100000,5000,500000,10000,5000000,10000000,100000,100000,500000,100000,50000,10000,500000,100000,10000,100000,100000,50000,100000,100000,10000,100000,500000,5000000,10000,500000,10000,100000,10000000,100000,10000,10000000,100000,100000,100000,100000,1000000,100000,1000000,100000,100000,100000,50000,100000,100000,100000,10000,100000,1000000,100000,100000,10000,50000,5000000,100000,5000000,5000000,500000,10000000,100000,500000,50000,100000,1000000,100000,1000000,50000,1000000,500000,100000,1000000,1000000,100000,100000,1000000,100000,100000,1000000,1000000,1000000,1000000,500000,500000,100000,500000,1000000,100000,500000,1000000,500000,100000,1000000,50000,1000000,10000,1000000,100000,10000,50000,100000,10000,10000,10000,10000000,500000,1000000,50000,10000,1000000,50000,500000,500000,100000,10000,5000,10000,10000,100000,5000,100000,10000,10000,1000000,50000,10000,100000000,50000,100000,10000000,100000000,10000000,10000000,10000000,100000,1000000,10000000,500000,1000000,1000000000,5000000,100000,10000000,500000,10000000,100000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of downloads of paid apps vs. free apps"},"yaxis":{"autorange":true,"type":"log"}}},"text/html":"
\n \n \n
\n \n
"},"metadata":{}}]},{"metadata":{"dc":{"key":"60"},"deletable":false,"editable":false,"run_control":{"frozen":true},"tags":["context"]},"cell_type":"markdown","source":["## 9. Sentiment analysis of user reviews\n","

Mining user review data to determine how people feel about your product, brand, or service can be done using a technique called sentiment analysis. User reviews for apps can be analyzed to identify if the mood is positive, negative or neutral about that app. For example, positive words in an app review might include words such as 'amazing', 'friendly', 'good', 'great', and 'love'. Negative words might be words like 'malware', 'hate', 'problem', 'refund', and 'incompetent'.

\n","

By plotting sentiment polarity scores of user reviews for paid and free apps, we observe that free apps receive a lot of harsh comments, as indicated by the outliers on the negative y-axis. Reviews for paid apps appear never to be extremely negative. This may indicate something about app quality, i.e., paid apps being of higher quality than free apps on average. The median polarity score for paid apps is a little higher than free apps, thereby syncing with our previous observation.

\n","

In this notebook, we analyzed over ten thousand apps from the Google Play Store. We can use our findings to inform our decisions should we ever wish to create an app ourselves.

"]},{"metadata":{"dc":{"key":"60"},"tags":["sample_code"],"trusted":true},"cell_type":"code","source":["# Load user_reviews.csv\n","reviews_df = pd.read_csv('datasets/user_reviews.csv')\n","\n","# Join and merge the two dataframe\n","merged_df = pd.merge(apps, reviews_df, on = 'App', how = \"inner\")\n","\n","# Drop NA values from Sentiment and Translated_Review columns\n","merged_df = merged_df.dropna(subset=['Sentiment', 'Translated_Review'])\n","\n","sns.set_style('ticks')\n","fig, ax = plt.subplots()\n","fig.set_size_inches(11, 8)\n","\n","# User review sentiment polarity for paid vs. free apps\n","ax = sns.boxplot(x = merged_df['Type'], y = merged_df['Sentiment_Polarity'], data = merged_df)\n","ax.set_title('Sentiment Polarity Distribution')"],"execution_count":18,"outputs":[{"output_type":"execute_result","data":{"text/plain":"Text(0.5, 1.0, 'Sentiment Polarity Distribution')"},"metadata":{},"execution_count":18},{"output_type":"display_data","data":{"text/plain":"
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\n"},"metadata":{}}]}],"metadata":{"kernelspec":{"name":"python3","display_name":"Python 3","language":"python"},"language_info":{"name":"python","version":"3.7.7-final","mimetype":"text/x-python","codemirror_mode":{"name":"ipython","version":3},"pygments_lexer":"ipython3","nbconvert_exporter":"python","file_extension":".py"}},"nbformat":4,"nbformat_minor":2} \ No newline at end of file +{"cells":[{"metadata":{"dc":{"key":"4"},"deletable":false,"editable":false,"run_control":{"frozen":true},"tags":["context"]},"cell_type":"markdown","source":["## 1. Google Play Store apps and reviews\n","

Mobile apps are everywhere. They are easy to create and can be lucrative. Because of these two factors, more and more apps are being developed. In this notebook, we will do a comprehensive analysis of the Android app market by comparing over ten thousand apps in Google Play across different categories. We'll look for insights in the data to devise strategies to drive growth and retention.

\n","

\"Google

\n","

Let's take a look at the data, which consists of two files:

\n","
    \n","
  • apps.csv: contains all the details of the applications on Google Play. There are 13 features that describe a given app.
  • \n","
  • user_reviews.csv: contains 100 reviews for each app, most helpful first. The text in each review has been pre-processed and attributed with three new features: Sentiment (Positive, Negative or Neutral), Sentiment Polarity and Sentiment Subjectivity.
  • \n","
"]},{"metadata":{"dc":{"key":"4"},"tags":["sample_code"],"trusted":true},"cell_type":"code","source":["# Read in dataset\n","import pandas as pd\n","apps_with_duplicates = pd.read_csv(\"datasets/apps.csv\")\n","apps_with_duplicates.head()\n","\n","# Drop duplicates\n","apps = apps_with_duplicates.drop_duplicates(subset=\"App\")\n","\n","# Print the total number of apps\n","print('Total number of apps in the dataset = ', apps.shape[0])\n","\n","# Have a look at a random sample of 5 rows\n","n = 5\n","apps.sample(n)"],"execution_count":5,"outputs":[{"output_type":"stream","name":"stdout","text":["Total number of apps in the dataset = 9659\n"]},{"output_type":"execute_result","data":{"text/plain":[" Unnamed: 0 App Category Rating \\\n","1677 2144 Toddler Learning Games - Little Kids Games FAMILY 4.2 \n","7433 8527 Download Manager For Android Free TOOLS 4.0 \n","7690 8807 nds4droid GAME 3.4 \n","6895 7957 Cv maker / Job cv maker FAMILY 4.4 \n","1681 2148 Masha and the Bear Child Games FAMILY 4.1 \n","\n"," Reviews Size Installs Type Price Content Rating \\\n","1677 731 NaN 100,000+ Free 0 Everyone \n","7433 593 3.3M 100,000+ Free 0 Everyone \n","7690 107778 8.8M 10,000,000+ Free 0 Everyone \n","6895 14 5.5M 1,000+ Free 0 Everyone \n","1681 288523 92M 10,000,000+ Free 0 Everyone \n","\n"," Genres Last Updated Current Ver Android Ver \n","1677 Educational;Education July 28, 2018 3.7.2.7 4.2 and up \n","7433 Tools April 12, 2018 12.04.18 3.0 and up \n","7690 Arcade February 12, 2016 47 2.3.3 and up \n","6895 Education March 27, 2018 1.0 4.0 and up \n","1681 Adventure;Education May 8, 2018 2.7.4 4.0 and up "],"text/html":"
\n\n\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n
Unnamed: 0AppCategoryRatingReviewsSizeInstallsTypePriceContent RatingGenresLast UpdatedCurrent VerAndroid Ver
16772144Toddler Learning Games - Little Kids GamesFAMILY4.2731NaN100,000+Free0EveryoneEducational;EducationJuly 28, 20183.7.2.74.2 and up
74338527Download Manager For Android FreeTOOLS4.05933.3M100,000+Free0EveryoneToolsApril 12, 201812.04.183.0 and up
76908807nds4droidGAME3.41077788.8M10,000,000+Free0EveryoneArcadeFebruary 12, 2016472.3.3 and up
68957957Cv maker / Job cv makerFAMILY4.4145.5M1,000+Free0EveryoneEducationMarch 27, 20181.04.0 and up
16812148Masha and the Bear Child GamesFAMILY4.128852392M10,000,000+Free0EveryoneAdventure;EducationMay 8, 20182.7.44.0 and up
\n
"},"metadata":{},"execution_count":5}]},{"metadata":{"dc":{"key":"11"},"deletable":false,"editable":false,"run_control":{"frozen":true},"tags":["context"]},"cell_type":"markdown","source":["## 2. Data cleaning\n","

The three features that we will be working with most frequently henceforth are Installs, Size, and Price. A careful glance of the dataset reveals that some of these columns mandate data cleaning in order to be consumed by code we'll write later. Specifically, the presence of special characters (, $ +) and letters (M k) in the Installs, Size, and Price columns make their conversion to a numerical data type difficult. Let's clean by removing these and converting each column to a numeric type.

"]},{"metadata":{"dc":{"key":"11"},"tags":["sample_code"],"trusted":true},"cell_type":"code","source":["# List of characters to remove\n","chars_to_remove = ['+', ',', 'M', '$']\n","# List of column names to clean\n","cols_to_clean = ['Installs', 'Size', 'Price']\n","\n","# Loop for each column\n","for col in cols_to_clean:\n"," # Replace each character with an empty string\n"," for char in chars_to_remove:\n"," apps[col] = apps[col].str.replace(char, '')\n"," # Convert col to numeric\n"," apps[col] = pd.to_numeric(apps[col]) "],"execution_count":6,"outputs":[]},{"metadata":{"dc":{"key":"18"},"deletable":false,"editable":false,"run_control":{"frozen":true},"tags":["context"]},"cell_type":"markdown","source":["## 3. Exploring app categories\n","

With more than 1 billion active users in 190 countries around the world, Google Play continues to be an important distribution platform to build a global audience. For businesses to get their apps in front of users, it's important to make them more quickly and easily discoverable on Google Play. To improve the overall search experience, Google has introduced the concept of grouping apps into categories.

\n","

This brings us to the following questions:

\n","
    \n","
  • Which category has the highest share of (active) apps in the market?
  • \n","
  • Is any specific category dominating the market?
  • \n","
  • Which categories have the fewest number of apps?
  • \n","
\n","

We will see that there are 33 unique app categories present in our dataset. Family and Game apps have the highest market prevalence. Interestingly, Tools, Business and Medical apps are also at the top.

"]},{"metadata":{"dc":{"key":"18"},"tags":["sample_code"],"trusted":true},"cell_type":"code","source":["import plotly\n","plotly.offline.init_notebook_mode(connected=True)\n","import plotly.graph_objs as go\n","\n","# Print the total number of unique categories\n","num_categories = len(apps['Category'].unique())\n","print('Number of categories = ', num_categories)\n","\n","# Count the number of apps in each 'Category' and sort them in descending order\n","num_apps_in_category = apps['Category'].value_counts().sort_values(ascending = False)\n","\n","data = [go.Bar(\n"," x = num_apps_in_category.index, # index = category name\n"," y = num_apps_in_category.values, # value = count\n",")]\n","\n","plotly.offline.iplot(data)"],"execution_count":9,"outputs":[{"output_type":"display_data","data":{"text/html":" \n "},"metadata":{}},{"output_type":"stream","name":"stdout","text":["Number of categories = 33\n"]},{"output_type":"display_data","data":{"application/vnd.plotly.v1+json":{"config":{"linkText":"Export to 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"},"metadata":{}}]},{"metadata":{"dc":{"key":"25"},"deletable":false,"editable":false,"run_control":{"frozen":true},"tags":["context"]},"cell_type":"markdown","source":["## 4. Distribution of app ratings\n","

After having witnessed the market share for each category of apps, let's see how all these apps perform on an average. App ratings (on a scale of 1 to 5) impact the discoverability, conversion of apps as well as the company's overall brand image. Ratings are a key performance indicator of an app.

\n","

From our research, we found that the average volume of ratings across all app categories is 4.17. The histogram plot is skewed to the right indicating that the majority of the apps are highly rated with only a few exceptions in the low-rated apps.

"]},{"metadata":{"dc":{"key":"25"},"tags":["sample_code"],"trusted":true},"cell_type":"code","source":["# Average rating of apps\n","avg_app_rating = apps['Rating'].mean()\n","print('Average app rating = ', avg_app_rating)\n","\n","# Distribution of apps according to their ratings\n","data = [go.Histogram(\n"," x = apps['Rating']\n",")]\n","\n","# Vertical dashed line to indicate the average app rating\n","layout = {'shapes': [{\n"," 'type' :'line',\n"," 'x0': avg_app_rating,\n"," 'y0': 0,\n"," 'x1': avg_app_rating,\n"," 'y1': 1000,\n"," 'line': { 'dash': 'dashdot'}\n"," }]\n"," }\n","\n","plotly.offline.iplot({'data': data, 'layout': layout})"],"execution_count":10,"outputs":[{"output_type":"stream","name":"stdout","text":["Average app rating = 4.173243045387994\n"]},{"output_type":"display_data","data":{"application/vnd.plotly.v1+json":{"config":{"linkText":"Export to 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"},"metadata":{}}]},{"metadata":{"dc":{"key":"32"},"deletable":false,"editable":false,"run_control":{"frozen":true},"tags":["context"]},"cell_type":"markdown","source":["## 5. Size and price of an app\n","

Let's now examine app size and app price. For size, if the mobile app is too large, it may be difficult and/or expensive for users to download. Lengthy download times could turn users off before they even experience your mobile app. Plus, each user's device has a finite amount of disk space. For price, some users expect their apps to be free or inexpensive. These problems compound if the developing world is part of your target market; especially due to internet speeds, earning power and exchange rates.

\n","

How can we effectively come up with strategies to size and price our app?

\n","
    \n","
  • Does the size of an app affect its rating?
  • \n","
  • Do users really care about system-heavy apps or do they prefer light-weighted apps?
  • \n","
  • Does the price of an app affect its rating?
  • \n","
  • Do users always prefer free apps over paid apps?
  • \n","
\n","

We find that the majority of top rated apps (rating over 4) range from 2 MB to 20 MB. We also find that the vast majority of apps price themselves under \\$10.

"]},{"metadata":{"dc":{"key":"32"},"tags":["sample_code"],"trusted":true},"cell_type":"code","source":["%matplotlib inline\n","import seaborn as sns\n","sns.set_style(\"darkgrid\")\n","import warnings\n","warnings.filterwarnings(\"ignore\")\n","\n","# Plot size vs. rating\n","plt1 = sns.jointplot(x = apps['Size'], y = apps['Rating'], kind = 'hex')\n","\n","# Subset out apps whose type is 'Paid'\n","paid_apps = apps[apps['Type'] == 'Paid']\n","\n","# Plot price vs. rating\n","plt2 = sns.jointplot(x = paid_apps['Price'], y = paid_apps['Rating'])"],"execution_count":12,"outputs":[{"output_type":"display_data","data":{"text/plain":"
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\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n 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\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n 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6. Relation between app category and app price\n","

So now comes the hard part. How are companies and developers supposed to make ends meet? What monetization strategies can companies use to maximize profit? The costs of apps are largely based on features, complexity, and platform.

\n","

There are many factors to consider when selecting the right pricing strategy for your mobile app. It is important to consider the willingness of your customer to pay for your app. A wrong price could break the deal before the download even happens. Potential customers could be turned off by what they perceive to be a shocking cost, or they might delete an app they’ve downloaded after receiving too many ads or simply not getting their money's worth.

\n","

Different categories demand different price ranges. Some apps that are simple and used daily, like the calculator app, should probably be kept free. However, it would make sense to charge for a highly-specialized medical app that diagnoses diabetic patients. Below, we see that Medical and Family apps are the most expensive. Some medical apps extend even up to \\$80! All game apps are reasonably priced below \\$20.

"]},{"metadata":{"dc":{"key":"39"},"tags":["sample_code"],"trusted":true},"cell_type":"code","source":["import matplotlib.pyplot as plt\n","fig, ax = plt.subplots()\n","fig.set_size_inches(15, 8)\n","\n","# Select a few popular app categories\n","popular_app_cats = apps[apps.Category.isin(['GAME', 'FAMILY', 'PHOTOGRAPHY',\n"," 'MEDICAL', 'TOOLS', 'FINANCE',\n"," 'LIFESTYLE','BUSINESS'])]\n","\n","# Examine the price trend by plotting Price vs Category\n","ax = sns.stripplot(x = popular_app_cats['Price'], y = popular_app_cats['Category'], jitter=True, linewidth=1)\n","ax.set_title('App pricing trend across categories')\n","\n","# Apps whose Price is greater than 200\n","apps_above_200 = popular_app_cats[['Category', 'App', 'Price']][popular_app_cats['Price'] > 200]\n","apps_above_200"],"execution_count":13,"outputs":[{"output_type":"execute_result","data":{"text/plain":[" Category App Price\n","3327 FAMILY most expensive app (H) 399.99\n","3465 LIFESTYLE 💎 I'm rich 399.99\n","3469 LIFESTYLE I'm Rich - Trump Edition 400.00\n","4396 LIFESTYLE I am rich 399.99\n","4398 FAMILY I am Rich Plus 399.99\n","4399 LIFESTYLE I am rich VIP 299.99\n","4400 FINANCE I Am Rich Premium 399.99\n","4401 LIFESTYLE I am extremely Rich 379.99\n","4402 FINANCE I am Rich! 399.99\n","4403 FINANCE I am rich(premium) 399.99\n","4406 FAMILY I Am Rich Pro 399.99\n","4408 FINANCE I am rich (Most expensive app) 399.99\n","4410 FAMILY I Am Rich 389.99\n","4413 FINANCE I am Rich 399.99\n","4417 FINANCE I AM RICH PRO PLUS 399.99\n","8763 FINANCE Eu Sou Rico 394.99\n","8780 LIFESTYLE I'm Rich/Eu sou Rico/أنا غني/我很有錢 399.99"],"text/html":"
\n\n\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n
CategoryAppPrice
3327FAMILYmost expensive app (H)399.99
3465LIFESTYLE💎 I'm rich399.99
3469LIFESTYLEI'm Rich - Trump Edition400.00
4396LIFESTYLEI am rich399.99
4398FAMILYI am Rich Plus399.99
4399LIFESTYLEI am rich VIP299.99
4400FINANCEI Am Rich Premium399.99
4401LIFESTYLEI am extremely Rich379.99
4402FINANCEI am Rich!399.99
4403FINANCEI am rich(premium)399.99
4406FAMILYI Am Rich Pro399.99
4408FINANCEI am rich (Most expensive app)399.99
4410FAMILYI Am Rich389.99
4413FINANCEI am Rich399.99
4417FINANCEI AM RICH PRO PLUS399.99
8763FINANCEEu Sou Rico394.99
8780LIFESTYLEI'm Rich/Eu sou Rico/أنا غني/我很有錢399.99
\n
"},"metadata":{},"execution_count":13},{"output_type":"display_data","data":{"text/plain":"
","image/svg+xml":"\n\n\n\n \n \n \n \n 2020-12-18T20:52:45.945083\n image/svg+xml\n \n \n Matplotlib v3.3.3, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n 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\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n 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7. Filter out \"junk\" apps\n","

It looks like a bunch of the really expensive apps are \"junk\" apps. That is, apps that don't really have a purpose. Some app developer may create an app called I Am Rich Premium or most expensive app (H) just for a joke or to test their app development skills. Some developers even do this with malicious intent and try to make money by hoping people accidentally click purchase on their app in the store.

\n","

Let's filter out these junk apps and re-do our visualization. The distribution of apps under \\$20 becomes clearer.

"]},{"metadata":{"dc":{"key":"46"},"tags":["sample_code"],"trusted":true},"cell_type":"code","source":["# Select apps priced below $100\n","apps_under_100 = popular_app_cats[popular_app_cats['Price'] < 100]\n","\n","fig, ax = plt.subplots()\n","fig.set_size_inches(15, 8)\n","\n","# Examine price vs category with the authentic apps\n","ax = sns.stripplot(x=apps_under_100['Price'], y=apps_under_100['Category'], data=apps_under_100,\n"," jitter=True, linewidth=1)\n","ax.set_title('App pricing trend across categories after filtering for junk apps')"],"execution_count":14,"outputs":[{"output_type":"execute_result","data":{"text/plain":["Text(0.5, 1.0, 'App pricing trend across categories after filtering for junk apps')"]},"metadata":{},"execution_count":14},{"output_type":"display_data","data":{"text/plain":"
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\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n 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\n"},"metadata":{}}]},{"metadata":{"dc":{"key":"53"},"deletable":false,"editable":false,"run_control":{"frozen":true},"tags":["context"]},"cell_type":"markdown","source":["## 8. Popularity of paid apps vs free apps\n","

For apps in the Play Store today, there are five types of pricing strategies: free, freemium, paid, paymium, and subscription. Let's focus on free and paid apps only. Some characteristics of free apps are:

\n","
    \n","
  • Free to download.
  • \n","
  • Main source of income often comes from advertisements.
  • \n","
  • Often created by companies that have other products and the app serves as an extension of those products.
  • \n","
  • Can serve as a tool for customer retention, communication, and customer service.
  • \n","
\n","

Some characteristics of paid apps are:

\n","
    \n","
  • Users are asked to pay once for the app to download and use it.
  • \n","
  • The user can't really get a feel for the app before buying it.
  • \n","
\n","

Are paid apps installed as much as free apps? It turns out that paid apps have a relatively lower number of installs than free apps, though the difference is not as stark as I would have expected!

"]},{"metadata":{"dc":{"key":"53"},"tags":["sample_code"],"trusted":true},"cell_type":"code","source":["trace0 = go.Box(\n"," # Data for paid apps\n"," y=apps[apps['Type'] == 'Paid']['Installs'],\n"," name = 'Paid'\n",")\n","\n","trace1 = go.Box(\n"," # Data for free apps\n"," y=apps[apps['Type'] == 'Free']['Installs'],\n"," name = 'Free'\n",")\n","\n","layout = go.Layout(\n"," title = \"Number of downloads of paid apps vs. free apps\",\n"," yaxis = dict(\n"," type = 'log',\n"," autorange = True\n"," )\n",")\n","\n","# Add trace0 and trace1 to a list for plotting\n","data = [trace0, trace1]\n","plotly.offline.iplot({'data': data, 'layout': layout})"],"execution_count":15,"outputs":[{"output_type":"display_data","data":{"application/vnd.plotly.v1+json":{"config":{"linkText":"Export to plot.ly","plotlyServerURL":"https://plot.ly","showLink":false},"data":[{"name":"Paid","type":"box","y":[100000,100000,100000,10000,1000,50,100,100,100,1000,1000,500000,100000,100000,100000,10000,50000,100000,10000,100000,100000,100000,100000,100000,100000,100000,100000,100000,100000,5000,5000,1000,500,100000,10000,10000,1000,1000,1000,100,100,1000,5000,5000,1000,10000,10000,5000,1000,10000,10000,50000,10000000,1000000,100000,10000,10000,10000,10000,10000,5000,5000,100000,50000,1000,10000,50000,1000,1000,10000,1000,1000,1000,100,5000,5000,500,1000,10000,1000,100,1000,500,5000,1000,500,1000,5000,10000,1000,10000,100,1000,5000,10000,1000,1000,100,50000,1000,1000,5000,5000,1000,10000,50,1000,10000,1000,1000,500,500,1000,5000,1000,100,1,50,10,1,1000000,100000,100000,50000,1000000,1000000,10000,10000,100000,100000,100000,100,100,5000,1000,100,1000,500,50000,10000,10000,10000000,100000,100000,100000,10000,10,100000,500000,5,10,10,500,5000,1000,1000,100,100,5000,5000,500,5000,10,500,100,5000,500,100,10000,50000,1,1000000,10,10000,500,1000,100,1000,10000,10000,100000,1000,5000,100000,10000,1000,10000,1000,10000,100000,1000,5000,10000,10000,10000,10000,100,100,5000,100,5,100,1000,100,10,500,1,100,10000,10,0,100,100,1,100,5000,500,10,5000,100,50,1000,50000,100000,100000,50000,100,1000,1000,100,10000,100000,10000,5000,5000,10000,1000,10000,5000,10000,100000,50,50000,50000,10000,500,1000,10000,5000,10000,1000,10000,5000,50,10000,1000,100000,10000,50000,1000,1000000,10000,100,10,50000,10000,500000,1000,10000,10000,50000,10000,10000,100000,1000,10000,5000,100,1000,10000,1000,10,100000,1000,5000,100,500,5000,1,100,5000,1000,100,500,50000,100,10,100,50,10,50,10,10,0,10000,100000,10000,10000,50000,1000,1000,5000,1000,10000,5000,1000,10000,10000,5000,5000,1000,100000,100000,1000,1000,10,100,500,100,5,10,0,10,1000000,1,1000,1000000,50000,500000,1000000,100000,100000,100000,10000,1000,5000,100,1000,100,10000,100000,1000,10,1,1,10,1,1000,1000,1000,500,1000,1,5,100,10,0,5000,1000,1000,100,50,50000,10,50,100000,100000,1000,1000,1000,5000,50000,500,5000,10,100000,50000,10000,100,100000,50000,100000,50000,1,10,500,100,100,10000,50,5,10,100,50,100,500,10000,500,1000,500,1000,1000,10,5000,1000,100000,1000,1000,100,10,1000,1000,100,1000,50,1000,1,1000000,100000,5000,0,50000,10,50,1000,1000,10000,10,5,500,100000,1000,1000,100000,1000,500000,10000,100,1000,1000,1000,100,100,100,500,500,10000,100,1000,10000,10000,100,50,1000,1,1000,1000,1000,10,5000,500,50000,5,1000,50,10,10,1000,1000000,100000,10000,10000,50000,1000,10000,10,10,5,1000000,100,10,10,10,100000,10000,10000,100,10000,100000,100000,100000,10000,10000,50000,10000,10000,5000,100,100,1000,10,100,10,500,100,100,100,500000,100,10,10,100,100,1000,50,100,100,50000,1000,1000,100,100,5000,100,100,10000,5000,5000,100,10,10,1,1000,500,10000,1000,100000,10,10,10,1000,10,1000,1,5,10,100000,100000,10000,10000,500,50,500,10,10,1,50000,50,5000,10,10000,10,10,10,100,100,10000,50,1000,100,10,500000,1000,1,50000,10,1000,5,50,5000,10000,10,5000,1000,50000,50000,10000,10000,100000,10000,100000,100000,100000,1000,10000,500,50000,100000,100,1000,10000,50000,100000,50000,1000000,100,50,10000,10,50,1000000,100000,1000,10000,100000,5000,10000,1000,100,10000,5000,100000,100,10,500,50,50,50,10,100,50,500,10000,10000,10,1,1,1000000,500000,1000000,1000000,5,1000,1000,500,100,10000,1000,50,0,50000,50,10000,1000,500000,1000,100000,10000,1000,10000,1000,5000,1000,100000,10000,1000,100,100,1000000,500,50000,1000,50,100,100000,50,500,0,100000,10,500000,500,50000,1000,10000,0,10,0,100,10000,0,1000000,10000,100000,100000,500000,10000,50000,5000,5000,1000,5000,5000,5000,5000,50,100,500,100000,100,50000,100,10000,10000,10000,1000,1000,1000,100,5000,100,100000,10000,1000,1000,5000,5000,100000,10,10,10,10,10,10,5,10,50,100000,1000000,100,1,100,1000,10000,10000,50]},{"name":"Free","type":"box","y":[10000,500000,5000000,50000000,100000,50000,50000,1000000,1000000,10000,1000000,1000000,10000000,100000,100000,5000,500000,10000,5000000,10000000,100000,100000,500000,100000,50000,10000,500000,100000,10000,100000,100000,50000,100000,100000,10000,100000,500000,5000000,10000,500000,10000,100000,10000000,100000,10000,10000000,100000,100000,100000,100000,1000000,100000,1000000,100000,100000,100000,50000,100000,100000,100000,10000,100000,1000000,100000,100000,10000,50000,5000000,100000,5000000,5000000,500000,10000000,100000,500000,50000,100000,1000000,100000,1000000,50000,1000000,500000,100000,1000000,1000000,100000,100000,1000000,100000,100000,1000000,1000000,1000000,1000000,500000,500000,100000,500000,1000000,100000,500000,1000000,500000,100000,1000000,50000,1000000,10000,1000000,100000,10000,50000,100000,10000,10000,10000,10000000,500000,1000000,50000,10000,1000000,50000,500000,500000,100000,10000,5000,10000,10000,100000,5000,100000,10000,10000,1000000,50000,10000,100000000,50000,100000,10000000,100000000,10000000,10000000,10000000,100000,1000000,10000000,500000,1000000,1000000000,5000000,100000,10000000,500000,10000000,100000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"},"metadata":{}}]},{"metadata":{"dc":{"key":"60"},"deletable":false,"editable":false,"run_control":{"frozen":true},"tags":["context"]},"cell_type":"markdown","source":["## 9. Sentiment analysis of user reviews\n","

Mining user review data to determine how people feel about your product, brand, or service can be done using a technique called sentiment analysis. User reviews for apps can be analyzed to identify if the mood is positive, negative or neutral about that app. For example, positive words in an app review might include words such as 'amazing', 'friendly', 'good', 'great', and 'love'. Negative words might be words like 'malware', 'hate', 'problem', 'refund', and 'incompetent'.

\n","

By plotting sentiment polarity scores of user reviews for paid and free apps, we observe that free apps receive a lot of harsh comments, as indicated by the outliers on the negative y-axis. Reviews for paid apps appear never to be extremely negative. This may indicate something about app quality, i.e., paid apps being of higher quality than free apps on average. The median polarity score for paid apps is a little higher than free apps, thereby syncing with our previous observation.

\n","

In this notebook, we analyzed over ten thousand apps from the Google Play Store. We can use our findings to inform our decisions should we ever wish to create an app ourselves.

"]},{"metadata":{"dc":{"key":"60"},"tags":["sample_code"],"trusted":true},"cell_type":"code","source":["# Load user_reviews.csv\n","reviews_df = pd.read_csv('datasets/user_reviews.csv')\n","\n","# Join and merge the two dataframe\n","merged_df = pd.merge(apps, reviews_df, on = 'App', how = \"inner\")\n","\n","# Drop NA values from Sentiment and Translated_Review columns\n","merged_df = merged_df.dropna(subset=['Sentiment', 'Translated_Review'])\n","\n","sns.set_style('ticks')\n","fig, ax = plt.subplots()\n","fig.set_size_inches(11, 8)\n","\n","# User review sentiment polarity for paid vs. free apps\n","ax = sns.boxplot(x = merged_df['Type'], y = merged_df['Sentiment_Polarity'], data = merged_df)\n","ax.set_title('Sentiment Polarity Distribution')"],"execution_count":21,"outputs":[{"output_type":"execute_result","data":{"text/plain":["Text(0.5, 1.0, 'Sentiment Polarity Distribution')"]},"metadata":{},"execution_count":21},{"output_type":"display_data","data":{"text/plain":"
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\n"},"metadata":{}}]},{"source":["Correlation 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\n"},"metadata":{}}],"source":["plt.figure(figsize=(20, 20))\n","sns.heatmap(apps.corr(), annot=True)"]},{"cell_type":"code","execution_count":null,"metadata":{},"outputs":[],"source":[]}],"metadata":{"kernelspec":{"name":"python3","display_name":"Python 3","language":"python"},"language_info":{"name":"python","version":"3.8.5-final","mimetype":"text/x-python","codemirror_mode":{"name":"ipython","version":3},"pygments_lexer":"ipython3","nbconvert_exporter":"python","file_extension":".py"}},"nbformat":4,"nbformat_minor":2} \ No newline at end of file