Application_Case_Google_Play_Store.ipynb

{"nbformat":4,"nbformat_minor":0,"metadata":{"colab":{"provenance":[],"toc_visible":true},"kernelspec":{"name":"python3","display_name":"Python 3"},"language_info":{"name":"python"}},"cells":[{"cell_type":"markdown","source":["<b><h2><center>Google Play Store Case Study</center></h2></b>\n","\n","<center><img src=\"https://cdn.pixabay.com/photo/2022/01/29/13/39/smartphone-6977552_960_720.jpg\" width=\"1600\" height=\"600\"></center>\n","\n","\n","\n"],"metadata":{"id":"2Z5j5w3YmGtd"}},{"cell_type":"markdown","source":["### **Context**\n","Advertising is a type of marketing communication used to promote or sell products or services. Advertising is usually paid by sponsors and viewed through various media such as websites, apps, emails and other offline communications.\n","Android is the mobile operating system running on Google OS with about 69% of the market share worldwide. The Google Play Store is the Android app store used to install Android Apps."],"metadata":{"id":"9N-akFi_pgSg"}},{"cell_type":"markdown","source":["Zoom Ads is an advertising agency that wants to perform an analysis on the data of the google play store. They need to understand the trend of applications available on the google play store so that they can decide to focus on promoting advertisements on particular applications which are trending in the market and can lead to maximum profit.\n","As a Data Scientist, you are required to analyze detailed information on apps in the Google Play Store in order to provide insights on app features and the current state of the Android app market.\n","\n","The dataset provided contains information of over 4000+ apps across different categories along with other useful attributes like Ratings, Reviews etc."],"metadata":{"id":"BAT5ivlIphzT"}},{"cell_type":"markdown","source":["### **Data Description:**\n","\n","* App: Application Name\n","* Category: Category the app belongs to (`Others` category contain apps from various different categories excluded from the dataset)\n","* Rating: Overall user rating of the app\n","* Reviews: Number of user reviews for the app\n","* Size: Size of the app in kilobytes\n","* Installs: Number of user downloads/installs for the app\n","* Paid/Free: Whether an app is paid or free\n","* Price: price of an app in dollars\n","* Content Rating: Age group the app is targeted at\n","* Ad Supported: whether an app supports an Ad or not (Yes/No)\n","* In App Purchases: App containing in app purchase feature or not (Yes/No)\n","* Editors Choice: Whether rated as Editor Choice (Yes/No)"],"metadata":{"id":"cYJ1AoVhNSyN"}},{"cell_type":"markdown","source":["Let's start by importing necessary libraries"],"metadata":{"id":"z4YJPX6npqoG"}},{"cell_type":"markdown","source":["### **Importing the necessary packages**"],"metadata":{"id":"UI0W-o47pxH8"}},{"cell_type":"code","source":["# Libraries to help with reading and manipulating data\n","import numpy as np\n","import pandas as pd\n","\n","# Libraries to help with data visualization\n","import matplotlib.pyplot as plt\n","import seaborn as sns\n","\n","# Command to tell Python to actually display the graphs\n","%matplotlib inline\n","pd.set_option(\"display.float_format\", lambda x: \"%.2f\" % x) #to display values upto 2 decimal places"],"metadata":{"id":"GoukCJ-Cp6KC"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["from google.colab import drive\n","drive.mount('/content/drive')"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"tlgFlSw7EE7g","executionInfo":{"status":"ok","timestamp":1703878402073,"user_tz":-780,"elapsed":19226,"user":{"displayName":"Farna Zand","userId":"09477329240568122337"}},"outputId":"3b438ec9-07a8-4ad1-cbfc-13de86740caf"},"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["Mounted at /content/drive\n"]}]},{"cell_type":"markdown","source":["### **Reading the datasets**"],"metadata":{"id":"FvlSx1hOqSmW"}},{"cell_type":"code","source":["df= pd.read_csv('/content/drive/MyDrive/Datasets/Play_Store_2.csv')"],"metadata":{"id":"ZLRYhJ_ap7GY"},"execution_count":null,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"-zQAz_0LCmME"},"source":["#### **Displaying the first few rows of the dataset**"]},{"cell_type":"code","source":["df.head()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":285},"id":"JdwxQedHqyzM","outputId":"a0e9cb29-d6da-464a-d0c1-8f9c43cb7b88"},"execution_count":null,"outputs":[{"output_type":"execute_result","data":{"text/html":["\n","  <div id=\"df-306e7ae5-0a30-4860-bf92-76366cdd724e\">\n","    <div class=\"colab-df-container\">\n","      <div>\n","<style scoped>\n","    .dataframe tbody tr th:only-of-type {\n","        vertical-align: middle;\n","    }\n","\n","    .dataframe tbody tr th {\n","        vertical-align: top;\n","    }\n","\n","    .dataframe thead th {\n","        text-align: right;\n","    }\n","</style>\n","<table border=\"1\" class=\"dataframe\">\n","  <thead>\n","    <tr style=\"text-align: right;\">\n","      <th></th>\n","      <th>App</th>\n","      <th>Category</th>\n","      <th>Rating</th>\n","      <th>Reviews</th>\n","      <th>Size</th>\n","      <th>Installs</th>\n","      <th>Paid/Free</th>\n","      <th>Price</th>\n","      <th>Content Rating</th>\n","      <th>Ad Supported</th>\n","      <th>In App Purchases</th>\n","      <th>Editors Choice</th>\n","    </tr>\n","  </thead>\n","  <tbody>\n","    <tr>\n","      <th>0</th>\n","      <td>War Dragons</td>\n","      <td>Others</td>\n","      <td>3.90</td>\n","      <td>160604.00</td>\n","      <td>270.00</td>\n","      <td>10000000.00</td>\n","      <td>Free</td>\n","      <td>0.00</td>\n","      <td>Everyone</td>\n","      <td>Yes</td>\n","      <td>Yes</td>\n","      <td>Yes</td>\n","    </tr>\n","    <tr>\n","      <th>1</th>\n","      <td>CV-Library Job Search</td>\n","      <td>BUSINESS</td>\n","      <td>4.40</td>\n","      <td>NaN</td>\n","      <td>46.00</td>\n","      <td>100000.00</td>\n","      <td>Free</td>\n","      <td>0.00</td>\n","      <td>Everyone</td>\n","      <td>No</td>\n","      <td>No</td>\n","      <td>No</td>\n","    </tr>\n","    <tr>\n","      <th>2</th>\n","      <td>Surah Al-Waqiah</td>\n","      <td>BOOKS_AND_REFERENCE</td>\n","      <td>NaN</td>\n","      <td>1201.00</td>\n","      <td>29.00</td>\n","      <td>100000.00</td>\n","      <td>Free</td>\n","      <td>0.00</td>\n","      <td>Everyone</td>\n","      <td>Yes</td>\n","      <td>No</td>\n","      <td>No</td>\n","    </tr>\n","    <tr>\n","      <th>3</th>\n","      <td>Ay</td>\n","      <td>Others</td>\n","      <td>NaN</td>\n","      <td>11.00</td>\n","      <td>36.00</td>\n","      <td>5000.00</td>\n","      <td>Free</td>\n","      <td>0.00</td>\n","      <td>Teen</td>\n","      <td>Yes</td>\n","      <td>No</td>\n","      <td>No</td>\n","    </tr>\n","    <tr>\n","      <th>4</th>\n","      <td>EA Plus</td>\n","      <td>Others</td>\n","      <td>2.50</td>\n","      <td>12.00</td>\n","      <td>12.00</td>\n","      <td>1000.00</td>\n","      <td>Free</td>\n","      <td>0.00</td>\n","      <td>Everyone</td>\n","      <td>No</td>\n","      <td>No</td>\n","      <td>No</td>\n","    </tr>\n","  </tbody>\n","</table>\n","</div>\n","      <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-306e7ae5-0a30-4860-bf92-76366cdd724e')\"\n","              title=\"Convert this dataframe to an interactive table.\"\n","              style=\"display:none;\">\n","        \n","  <svg xmlns=\"http://www.w3.org/2000/svg\" height=\"24px\"viewBox=\"0 0 24 24\"\n","       width=\"24px\">\n","    <path d=\"M0 0h24v24H0V0z\" fill=\"none\"/>\n","    <path d=\"M18.56 5.44l.94 2.06.94-2.06 2.06-.94-2.06-.94-.94-2.06-.94 2.06-2.06.94zm-11 1L8.5 8.5l.94-2.06 2.06-.94-2.06-.94L8.5 2.5l-.94 2.06-2.06.94zm10 10l.94 2.06.94-2.06 2.06-.94-2.06-.94-.94-2.06-.94 2.06-2.06.94z\"/><path d=\"M17.41 7.96l-1.37-1.37c-.4-.4-.92-.59-1.43-.59-.52 0-1.04.2-1.43.59L10.3 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Visit the ' +\n","            '<a target=\"_blank\" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n","            + ' to learn more about interactive tables.';\n","          element.innerHTML = '';\n","          dataTable['output_type'] = 'display_data';\n","          await google.colab.output.renderOutput(dataTable, element);\n","          const docLink = document.createElement('div');\n","          docLink.innerHTML = docLinkHtml;\n","          element.appendChild(docLink);\n","        }\n","      </script>\n","    </div>\n","  </div>\n","  "],"text/plain":["                     App             Category  ...  In App Purchases  Editors Choice\n","0            War Dragons               Others  ...               Yes             Yes\n","1  CV-Library Job Search             BUSINESS  ...                No              No\n","2        Surah Al-Waqiah  BOOKS_AND_REFERENCE  ...                No              No\n","3                     Ay               Others  ...                No              No\n","4                EA Plus               Others  ...                No              No\n","\n","[5 rows x 12 columns]"]},"metadata":{},"execution_count":3}]},{"cell_type":"markdown","source":["The dataset has been loaded properly\n","- *Dataset consists of several columns displaying the various attributes related to each App*\n","- *` Category` columns display the category of the App.*\n","- *The performance of each App has been defined by the users under `Ratings` and `Reviews` columns*\n","- *Column `Content Rating` displays the Age Group of the users for which the App has been developed*\n","- *Dataset has also been categorised on the basis of Ads Present in the App under the `Ad Supported` column and whether some of the features in the App are paid or not under the `In App Purchases` column*\n","- *` Editors Choice` displays whether the App has been Recommended by the Editor or not*\n","- *From the head of the dataset, it can be observed that there are some values as NaN, which means the dataset contains some missing values*"],"metadata":{"id":"1SvuS1o3rSYC"}},{"cell_type":"markdown","metadata":{"id":"ymfvv11nCmMI"},"source":["#### **Checking the shape of the dataset**"]},{"cell_type":"code","source":["df.shape"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"vCi_YOs5rEYc","outputId":"310ddd9b-b32a-4a25-c65d-86b200c917f8"},"execution_count":null,"outputs":[{"output_type":"execute_result","data":{"text/plain":["(4153, 12)"]},"metadata":{},"execution_count":4}]},{"cell_type":"markdown","source":["- *The Dataset has 4153 number of rows with 12 columns*"],"metadata":{"id":"8GbJAbIst0iY"}},{"cell_type":"markdown","metadata":{"id":"0rwGjIn8CmML"},"source":["####**Checking the data types of the columns for the dataset**"]},{"cell_type":"code","source":["df.info()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"5TwsZCOXt7Vj","outputId":"de17202c-3cea-495b-c809-c58a438d8a55"},"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["<class 'pandas.core.frame.DataFrame'>\n","RangeIndex: 4153 entries, 0 to 4152\n","Data columns (total 12 columns):\n"," #   Column            Non-Null Count  Dtype  \n","---  ------            --------------  -----  \n"," 0   App               4153 non-null   object \n"," 1   Category          4153 non-null   object \n"," 2   Rating            3976 non-null   float64\n"," 3   Reviews           4029 non-null   float64\n"," 4   Size              4153 non-null   float64\n"," 5   Installs          4153 non-null   float64\n"," 6   Paid/Free         4153 non-null   object \n"," 7   Price             4153 non-null   float64\n"," 8   Content Rating    4153 non-null   object \n"," 9   Ad Supported      4153 non-null   object \n"," 10  In App Purchases  4153 non-null   object \n"," 11  Editors Choice    4153 non-null   object \n","dtypes: float64(5), object(7)\n","memory usage: 389.5+ KB\n"]}]},{"cell_type":"markdown","source":["- *We can observe that there around 7 object datatype columns and 5 numerical datatype*\n","- *All the columns does not have 4153 observations, which can be inferred that there are null values present in the dataset*"],"metadata":{"id":"EWCNbJTsuCTX"}},{"cell_type":"markdown","metadata":{"id":"QDaaq4453upr"},"source":["#### **Getting the statistical summary for the dataset**"]},{"cell_type":"code","source":["df.describe(include= 'all').T"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":426},"id":"eMlSuOxUuAsM","outputId":"47c724a4-7166-4d5f-800c-3a61cae46442"},"execution_count":null,"outputs":[{"output_type":"execute_result","data":{"text/html":["\n","  <div id=\"df-d3d904c3-2275-47fe-b169-0c9c95049e68\">\n","    <div class=\"colab-df-container\">\n","      <div>\n","<style scoped>\n","    .dataframe tbody tr th:only-of-type {\n","        vertical-align: middle;\n","    }\n","\n","    .dataframe tbody tr th {\n","        vertical-align: top;\n","    }\n","\n","    .dataframe thead th {\n","        text-align: right;\n","    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<td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","    </tr>\n","    <tr>\n","      <th>Rating</th>\n","      <td>3976.00</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>4.19</td>\n","      <td>0.52</td>\n","      <td>1.00</td>\n","      <td>4.00</td>\n","      <td>4.30</td>\n","      <td>4.50</td>\n","      <td>5.00</td>\n","    </tr>\n","    <tr>\n","      <th>Reviews</th>\n","      <td>4029.00</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>66964.21</td>\n","      <td>107418.85</td>\n","      <td>1.00</td>\n","      <td>224.00</td>\n","      <td>7461.00</td>\n","      <td>78219.00</td>\n","      <td>312204.00</td>\n","    </tr>\n","    <tr>\n","      <th>Size</th>\n","      <td>4153.00</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>82.25</td>\n","      <td>92.26</td>\n","      <td>0.01</td>\n","      <td>22.00</td>\n","      <td>42.00</td>\n","      <td>84.00</td>\n","      <td>270.00</td>\n","    </tr>\n","    <tr>\n","      <th>Installs</th>\n","      <td>4153.00</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>3232705.64</td>\n","      <td>5421343.28</td>\n","      <td>1.00</td>\n","      <td>10000.00</td>\n","      <td>500000.00</td>\n","      <td>5000000.00</td>\n","      <td>19970000.00</td>\n","    </tr>\n","    <tr>\n","      <th>Paid/Free</th>\n","      <td>4153</td>\n","      <td>2</td>\n","      <td>Free</td>\n","      <td>3828</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","    </tr>\n","    <tr>\n","      <th>Price</th>\n","      <td>4153.00</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>0.57</td>\n","      <td>8.93</td>\n","      <td>0.00</td>\n","      <td>0.00</td>\n","      <td>0.00</td>\n","      <td>0.00</td>\n","      <td>399.99</td>\n","    </tr>\n","    <tr>\n","      <th>Content Rating</th>\n","      <td>4153</td>\n","      <td>4</td>\n","      <td>Everyone</td>\n","      <td>3251</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","    </tr>\n","    <tr>\n","      <th>Ad Supported</th>\n","      <td>4153</td>\n","      <td>2</td>\n","      <td>Yes</td>\n","      <td>2208</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","    </tr>\n","    <tr>\n","      <th>In App Purchases</th>\n","      <td>4153</td>\n","      <td>2</td>\n","      <td>No</td>\n","      <td>2586</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","    </tr>\n","    <tr>\n","      <th>Editors Choice</th>\n","      <td>4153</td>\n","      <td>2</td>\n","      <td>No</td>\n","      <td>3304</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","      <td>NaN</td>\n","    </tr>\n","  </tbody>\n","</table>\n","</div>\n","      <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-d3d904c3-2275-47fe-b169-0c9c95049e68')\"\n","              title=\"Convert this dataframe to an interactive table.\"\n","              style=\"display:none;\">\n","        \n","  <svg xmlns=\"http://www.w3.org/2000/svg\" height=\"24px\"viewBox=\"0 0 24 24\"\n","       width=\"24px\">\n","    <path d=\"M0 0h24v24H0V0z\" fill=\"none\"/>\n","    <path d=\"M18.56 5.44l.94 2.06.94-2.06 2.06-.94-2.06-.94-.94-2.06-.94 2.06-2.06.94zm-11 1L8.5 8.5l.94-2.06 2.06-.94-2.06-.94L8.5 2.5l-.94 2.06-2.06.94zm10 10l.94 2.06.94-2.06 2.06-.94-2.06-.94-.94-2.06-.94 2.06-2.06.94z\"/><path d=\"M17.41 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NaN        NaN         NaN\n","Rating           3976.00    NaN          NaN  ...      4.30       4.50        5.00\n","Reviews          4029.00    NaN          NaN  ...   7461.00   78219.00   312204.00\n","Size             4153.00    NaN          NaN  ...     42.00      84.00      270.00\n","Installs         4153.00    NaN          NaN  ... 500000.00 5000000.00 19970000.00\n","Paid/Free           4153      2         Free  ...       NaN        NaN         NaN\n","Price            4153.00    NaN          NaN  ...      0.00       0.00      399.99\n","Content Rating      4153      4     Everyone  ...       NaN        NaN         NaN\n","Ad Supported        4153      2          Yes  ...       NaN        NaN         NaN\n","In App Purchases    4153      2           No  ...       NaN        NaN         NaN\n","Editors Choice      4153      2           No  ...       NaN        NaN         NaN\n","\n","[12 rows x 11 columns]"]},"metadata":{},"execution_count":6}]},{"cell_type":"code","source":["#check the precentage of categorical varaivles\n","cat_vars = [\"Category\", \"Paid/Free\",\"Content Rating\", \"Ad Supported\", \"In App Purchases\", \"Editors Choice\"]\n","for var in cat_vars:\n","  print(df[var].value_counts(1), end = \"\\n\\n\")"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"zpbMmWrFMjGL","executionInfo":{"status":"ok","timestamp":1703886039002,"user_tz":-780,"elapsed":602,"user":{"displayName":"Farna Zand","userId":"09477329240568122337"}},"outputId":"d2958fe7-3013-4f9d-c5d2-34c0da947433"},"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["Others                0.31\n","FAMILY                0.18\n","GAME                  0.11\n","TOOLS                 0.07\n","FINANCE               0.04\n","MEDICAL               0.04\n","HEALTH_AND_FITNESS    0.03\n","LIFESTYLE             0.03\n","SPORTS                0.03\n","PRODUCTIVITY          0.03\n","PHOTOGRAPHY           0.03\n","BUSINESS              0.03\n","PERSONALIZATION       0.03\n","COMMUNICATION         0.02\n","BOOKS_AND_REFERENCE   0.02\n","Name: Category, dtype: float64\n","\n","Free   0.92\n","Paid   0.08\n","Name: Paid/Free, dtype: float64\n","\n","Everyone       0.78\n","Teen           0.13\n","Everyone 10+   0.06\n","Mature 17+     0.03\n","Name: Content Rating, dtype: float64\n","\n","Yes   0.53\n","No    0.47\n","Name: Ad Supported, dtype: float64\n","\n","No    0.62\n","Yes   0.38\n","Name: In App Purchases, dtype: float64\n","\n","No    0.80\n","Yes   0.20\n","Name: Editors Choice, dtype: float64\n","\n"]}]},{"cell_type":"markdown","source":["- *The above table displays the descriptive analysis for Numerical columns*\n","- *It can be observed that the average rating of Apps is around 4.19, which means most of the Apps have received ratings above average. As it can be seen that 75% of users have given ratings equal to or greater than 4 to the Apps*\n","- *50% of the apps have received reviews less than 10000, which means users are not preferring to give reviews for most of the apps. The average value is high because of the range of number of reviews as the maximum number of reviews given to an app is very high*\n","- *Around 90% of the apps are free of cost in the Play store*  \n","- *There are around 15 categories of Apps present in the Dataset among which 31% of apps are categorised in the Others category*\n","- *The distribution of apps containing Ads is almost equal in 50:50 ratio, which means in an overall view, there is no trend whether apps are ad-supported or not*\n","- About 60% of the apps do not contain in App Purchases\n","- *Around 80% of the apps are not recommended by the Editors*"],"metadata":{"id":"Jz28VENzv7xf"}},{"cell_type":"markdown","source":["### **Missing value treatment**\n","\n","\n","\n"],"metadata":{"id":"8XUiXI63hyNQ"}},{"cell_type":"code","source":["# checking missing values\n","df.isnull().sum()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"hHIsjg1eh3EX","outputId":"fc215454-280b-4546-c252-374f133cb470"},"execution_count":null,"outputs":[{"output_type":"execute_result","data":{"text/plain":["App                   0\n","Category              0\n","Rating              177\n","Reviews             124\n","Size                  0\n","Installs              0\n","Paid/Free             0\n","Price                 0\n","Content Rating        0\n","Ad Supported          0\n","In App Purchases      0\n","Editors Choice        0\n","dtype: int64"]},"metadata":{},"execution_count":7}]},{"cell_type":"markdown","source":["- *The variable `Rating` and `Reviews ` have 177 and 127 missing values in them*\n","- *There are no missing values in other variables.*"],"metadata":{"id":"4iynBaJeh6cx"}},{"cell_type":"markdown","source":["We can impute the missing values for each column seperately"],"metadata":{"id":"m6-bJoH6iaB2"}},{"cell_type":"markdown","source":["Since the average value of column `Rating` is close to median of that column, hence we can impute the missing values with the mean value of that column"],"metadata":{"id":"o97ZPKZdip2i"}},{"cell_type":"code","source":["df['Rating'] = df['Rating'].fillna(value= df['Rating'].mean())"],"metadata":{"id":"iNI3Ay5RjOvE"},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":["For the `Review` column, we can impute the missing values with median as the range is too high to impute the values with the average value of reviews"],"metadata":{"id":"zred_b5xjfo4"}},{"cell_type":"code","source":["df['Reviews'] = df['Reviews'].fillna(value= df['Reviews'].median())"],"metadata":{"id":"nEzsRs8PjtBv"},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":["Let's check the null values of the dataset again to confirm that imputation has done properly"],"metadata":{"id":"yqJvYrsajzSe"}},{"cell_type":"code","source":["df.isnull().sum()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"eumROGMej-5g","outputId":"0290176b-d752-47fc-938a-1ebe4259b070"},"execution_count":null,"outputs":[{"output_type":"execute_result","data":{"text/plain":["App                 0\n","Category            0\n","Rating              0\n","Reviews             0\n","Size                0\n","Installs            0\n","Paid/Free           0\n","Price               0\n","Content Rating      0\n","Ad Supported        0\n","In App Purchases    0\n","Editors Choice      0\n","dtype: int64"]},"metadata":{},"execution_count":10}]},{"cell_type":"markdown","source":["- *All the missing values have been imputed and there are no missing values in our dataset now*."],"metadata":{"id":"7KESt1zMkDpg"}},{"cell_type":"markdown","source":["### **Exploratory Data Analysis**"],"metadata":{"id":"H7AfYVd8kGxk"}},{"cell_type":"markdown","source":["### **Univariate Analysis**"],"metadata":{"id":"toP7YRidkJ5c"}},{"cell_type":"markdown","source":["**Let us first explore the numerical variables.**"],"metadata":{"id":"1QnfimrqkNIG"}},{"cell_type":"markdown","source":["#### **Observations on Rating**"],"metadata":{"id":"f6AQ_U3RkYJp"}},{"cell_type":"code","source":["sns.histplot(data=df,x='Rating')\n","plt.show()\n","sns.boxplot(data=df,x='Rating')\n","plt.show()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":541},"id":"drdsMTt4kT2-","outputId":"6c10de2a-7118-4a74-eb6c-bddcf0c4851a"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{"needs_background":"light"}},{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":["- *The distribution of Rating is highly left skewed*\n","- *There are a lot of outliers in this variable*\n","- *Most of the ratings are on the higher side*"],"metadata":{"id":"7AHA1M-dknFZ"}},{"cell_type":"markdown","source":["#### **Observations on Reviews**"],"metadata":{"id":"BKscKSIOmLzL"}},{"cell_type":"code","source":["sns.histplot(data=df,x='Reviews')\n","plt.show()\n","sns.boxplot(data=df,x='Reviews')\n","plt.show()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":541},"id":"ZR6ksUvOkT8E","outputId":"68bc53a6-f636-4e7a-e9aa-56a9aea8201b"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{"needs_background":"light"}},{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":["- *The distribution of Reviews is extremely right skewed*\n","- *There are a lot of outliers in this variable*\n","- *Most of the reviews are on the lower side*"],"metadata":{"id":"SZ2brKEZlCAj"}},{"cell_type":"markdown","source":["#### **Observations on Size**"],"metadata":{"id":"9qsf2tGzmPEC"}},{"cell_type":"code","source":["sns.histplot(data=df,x='Size')\n","plt.show()\n","sns.boxplot(data=df,x='Size')\n","plt.show()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":544},"id":"LuxmjhpBkUAL","outputId":"4e20ba83-a411-462e-d5e3-45f0fea28178"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{"needs_background":"light"}},{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":["- *The distribution of Size is distributed between 0 - 100 kb, which means most of the apps size are in this range*\n","- *There are some outliers present at the extreme end, which means some of the apps have download size in Megabytes*\n","- *Most of the size are on the lower side*"],"metadata":{"id":"_VB8KZ3RjcaM"}},{"cell_type":"markdown","source":["#### **Observations on Installs**"],"metadata":{"id":"4Hr7BDGsmYqQ"}},{"cell_type":"code","source":["sns.histplot(data=df,x='Installs')\n","plt.show()\n","sns.boxplot(data=df,x='Installs')\n","plt.show()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":541},"id":"aYyvBcGqkUDP","outputId":"7ace87e5-9f85-4424-dce5-1b3988f1a4d2"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{"needs_background":"light"}},{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":["- *The distribution of installs is randomly distributed as multiple modes can be seen in the plot*\n","- *From the box plot, it can be observed that most of the apps are installed 25% of the apps which are installed maximum number of times*"],"metadata":{"id":"DFlKoUuemvgG"}},{"cell_type":"markdown","source":["#### **Observations on Price**"],"metadata":{"id":"uADOPZf2mcci"}},{"cell_type":"code","source":["sns.histplot(data=df,x='Price')\n","plt.show()\n","sns.boxplot(data=df,x='Price')\n","plt.show()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":541},"id":"f3-VMiRmkUF9","outputId":"59908abd-f021-4dda-fd6e-d363580971ac"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{"needs_background":"light"}},{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":["- *As we have already seen in our descriptive analysis, most of the apps have zero price to use*\n","- *From the box plot, it can be observed that there are some outliers present in the price column*"],"metadata":{"id":"YQqp_uqboXIB"}},{"cell_type":"markdown","source":["**Let's now explore the Categorical columns.**"],"metadata":{"id":"NRdWzjDloy1_"}},{"cell_type":"code","source":["plt.figure(figsize=(15,8))\n","sns.countplot(data=df, x='Category')\n","plt.xticks(rotation=90);"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":613},"id":"X8prtbmlkUHz","outputId":"3e9a6cfb-99ab-4b91-baaf-d0feefa657fc"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 1080x576 with 1 Axes>"]},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":["- *Apps present under Others category are maximum in number*\n","- *Apart from Others category, most of the apps are in Family Category comprising around 17% of the total apps*\n","- *Very few apps around 1-2% of apps are in Books and Reference, and Communication Category*"],"metadata":{"id":"6-s6IqmJpMIj"}},{"cell_type":"code","source":["plt.figure(figsize=(12,8))\n","sns.countplot(data=df, x='Paid/Free');"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":499},"id":"J-v4TevQpLWH","outputId":"5d21bdbd-78bb-4b64-e584-8a6218aa5c58"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 864x576 with 1 Axes>"]},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":["- *Around 91% of the apps are free to use in play store*"],"metadata":{"id":"X_RBilqDq11i"}},{"cell_type":"code","source":["plt.figure(figsize=(12,8))\n","sns.countplot(data=df, x='Content Rating');"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":497},"id":"0pvP172AkUOo","outputId":"cc55775f-3cd1-40f4-e697-dc6797fc3936"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 864x576 with 1 Axes>"]},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":["- *Most of the apps have a content rating of 'Everyone', which means around 75% of apps can be used by all age groups of users*"],"metadata":{"id":"m2BCUfQIsJAK"}},{"cell_type":"code","source":["plt.figure(figsize=(12,8))\n","sns.countplot(data=df, x='Editors Choice');"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":497},"id":"F-1_dBYGyeCl","outputId":"27b56f69-da82-48a2-dd28-2bbf153cdd7e"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 864x576 with 1 Axes>"]},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":["- *Around 80% of the apps are not recommended by the Editors*"],"metadata":{"id":"UpntmfDtydUs"}},{"cell_type":"code","source":["plt.figure(figsize=(12,8))\n","sns.countplot(data=df, x='Ad Supported');"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":497},"id":"QBWZq-bIkUKY","outputId":"a7df63ef-b974-4d49-8ab8-950934a19e97"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 864x576 with 1 Axes>"]},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":["- *Although there is not much significant difference between the apps which support the Ads and not, it can still be observed that Apps which support Ads are 6% higher than Apps which do not support Ads*"],"metadata":{"id":"ZeIcDA__rHku"}},{"cell_type":"code","source":["plt.figure(figsize=(12,8))\n","sns.countplot(data=df, x='In App Purchases');"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":497},"id":"x6LUhrp8kUMV","outputId":"acae7cbd-9ce9-4b27-fe49-46d66047c82f"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 864x576 with 1 Axes>"]},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":["- *It is interesting to note that most of the apps do no have feature of In app purchases*\n","- *Only 36% of the apps have In app purchases feature*"],"metadata":{"id":"wocZEJQVrs4J"}},{"cell_type":"markdown","source":["As the revenue for the apps which are free to use comes mostly from Advertisements and In App Purchases, therefore free apps are likely to have in-app purchases feature and adverrtisements\n","\n","Let's check among free apps, the proportion of apps supporting in app pruchases and contain ads"],"metadata":{"id":"AZplR5fTsdVH"}},{"cell_type":"code","source":["plt.figure(figsize=(12,8))\n","sns.countplot(data=df[df['Paid/Free']=='Free'], x='In App Purchases');"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":497},"id":"R00AGoSZkUQs","outputId":"a82a5d56-618f-49a6-aaf7-94aab503047e"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 864x576 with 1 Axes>"]},"metadata":{"needs_background":"light"}}]},{"cell_type":"code","source":["plt.figure(figsize=(12,8))\n","sns.countplot(data=df[df['Paid/Free']=='Free'], x='Ad Supported');"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":497},"id":"E5j7dsd-kUTB","outputId":"ad1317a0-6d67-4929-dbe3-060876e2fff6"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 864x576 with 1 Axes>"]},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":["- *Around 60% of free apps does not have In app puchase feature, whereas only 40% of free apps does not contain ads*"],"metadata":{"id":"6DI0x1vwtZKI"}},{"cell_type":"markdown","source":["### **Bivariate Analysis**"],"metadata":{"id":"h6Vuu5Q2u1F0"}},{"cell_type":"markdown","source":["Let's check relationship of categories with ratings and reviews as to know which category is trending"],"metadata":{"id":"oJbPQJ3Tu2r3"}},{"cell_type":"code","source":["plt.figure(figsize=(15,8))\n","sns.boxplot(data=df, x='Category', y='Rating')\n","plt.xticks(rotation=90);"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":613},"id":"ZjWN5eDJkUXO","outputId":"043a8eb2-f3f2-4f7c-f67a-d5b423bc1a7c"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 1080x576 with 1 Axes>"]},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":["- *As it can be observed that median ratings of all categories are above 4 with some outliers at the bottom, which means 50% of the apps in Play Store have been rated more than 4*\n"],"metadata":{"id":"7D1wYIirvZTA"}},{"cell_type":"code","source":["plt.figure(figsize=(15,8))\n","sns.lineplot(data=df, x='Category', y='Reviews', ci=False, estimator='sum')\n","plt.xticks(rotation=90);"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":624},"id":"qThZd5s8kUZi","outputId":"1b428ba1-350d-46b7-b4ec-5525b9b28400"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 1080x576 with 1 Axes>"]},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":["- *Others category has recieved highest number of reviews*\n","- *Apart from that, Category **Game** has received highest reviews from the users followed by **Family** Category*\n","- *It should be noted that even though category **Family** has apps more than category **Game**, but it has received less number of reviews than Game category*\n","- *Therefore, it can be inferred that this category is less used by the users apart from the fact that it has high number of apps*"],"metadata":{"id":"ye-eLf8LvrZJ"}},{"cell_type":"code","source":["plt.figure(figsize=(15,8))\n","sns.lineplot(data=df, x='Category', y='Installs', ci=False, estimator='sum')\n","plt.xticks(rotation=90);"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":624},"id":"8kAJ4hJckUb8","outputId":"6c68b86e-c796-4d9c-f1f0-9241162a269c"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 1080x576 with 1 Axes>"]},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":["- *The trend of installation of apps is almost same as for the Reviews in apps*\n","- *Apps present in category Game has been installed more number of times than any other Category except those apps which are under Others Category*\n","- *Apps in Medical Category are installed least followed by Finance, Business and Books and References*"],"metadata":{"id":"TENUHw3ywp7a"}},{"cell_type":"code","source":["plt.figure(figsize=(15,8))\n","sns.lineplot(data=df, x='Category', y='Price' , ci=False, estimator='sum')\n","plt.xticks(rotation=90);"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":613},"id":"NWurH3f5kUd2","outputId":"fcc9ed09-189a-4b05-f41c-b12fdbe065f7"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 1080x576 with 1 Axes>"]},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":["- *Apps present in Family Category are costliest as compared to any other Category*\n","- *Even though the apps under Family category are costlier, the installation of these apps is higher than other apps except for Others and Game Category*\n","- *It is interesting to observe that Apps under Finance and Medical categroy are also costlier, and this can be the reason that these apps are not installed in a very frequency*\n","- *Business and Books and References apps are not costlier and they are not been installed by the users, which means the apps present in these categories are least preferred by the users*"],"metadata":{"id":"O1e9K5N_xdOc"}},{"cell_type":"code","source":["plt.figure(figsize=(12,8))\n","sns.countplot(data= df[df['Paid/Free']=='Free'], x='Category', hue='Ad Supported')\n","plt.xticks(rotation=90);"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":613},"id":"gag3Hdbn7sdl","outputId":"ac13b051-d035-4b31-b79a-069cdc89c408"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 864x576 with 1 Axes>"]},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":["- *Among free apps, Others category is highest*\n","- *Apart from that Family Category has higher number of apps followed by Game and Tools category*\n","- *Family and Game category has apps which have a significant difference between apps supporting Ads or not*\n","- *Apps under Medical and Finance like categories, higher proportion is towards apps which do not support Ads, even after they are free to use*"],"metadata":{"id":"ZMFhoARX6n20"}},{"cell_type":"code","source":["plt.figure(figsize=(12,8))\n","sns.countplot(data=df[df['Ad Supported']=='Yes'], x='Category', hue='Paid/Free')\n","plt.xticks(rotation=90);"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":613},"id":"mtedHNtMHxKL","outputId":"de8b9a48-613d-4f64-d3c6-4408d6702a4c"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 864x576 with 1 Axes>"]},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":["- *Apps which have Ad support feature are mostly free to use in all the categories*"],"metadata":{"id":"xZLrh_wJIB6z"}},{"cell_type":"markdown","source":["It is observed that Reviews and Installation followed almost similar trends, therefore they may have some relationship with each other.\n","\n","Let's check if there is any relationship between these 2 variables and also with any other variable"],"metadata":{"id":"nmNXhSxKyyiI"}},{"cell_type":"code","source":["sns.pairplot(data=df, diag_kind=\"kde\")\n","plt.show();"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":903},"id":"5mJ_qelrkUgO","outputId":"0bf2aa82-7216-4951-8133-6302c8015fa1"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 900x900 with 30 Axes>"]},"metadata":{"needs_background":"light"}}]},{"cell_type":"code","source":["corr = df.corr()\n","\n","# plot the heatmap\n","\n","plt.figure(figsize=(15, 7))\n","sns.heatmap(corr, annot=True, vmin=-1, vmax=1, fmt=\".2f\", cmap=\"Spectral\")\n","plt.show()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":432},"id":"pMkJpOd4kUif","outputId":"46a01464-a4f6-46ee-d531-5058da69e2e1"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 1080x504 with 2 Axes>"]},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":["- *As expected, Installs and Reviews have a strong correlation with each other*\n","- *There is no such relationship between any of the other variables*"],"metadata":{"id":"47slnBJXztsO"}},{"cell_type":"markdown","source":["### **Outlier Detection and Treatment**"],"metadata":{"id":"mvAbRo_t0LgJ"}},{"cell_type":"markdown","source":["**Let's visualize all the outliers present in data together**"],"metadata":{"id":"C7WrRi1V0OH1"}},{"cell_type":"code","source":["# outlier detection using boxplot\n","# selecting the numerical columns of data and adding their names in a list\n","numeric_columns = ['Rating', 'Reviews', 'Size', 'Installs','Price']\n","plt.figure(figsize=(15, 12))\n","\n","for i, variable in enumerate(numeric_columns):\n","    plt.subplot(4, 4, i + 1)\n","    plt.boxplot(df[variable], whis=1.5)\n","    plt.tight_layout()\n","    plt.title(variable)\n","\n","plt.show()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"1M_Xt4kYkUky","outputId":"67b0efd6-7f9f-45b6-d52c-effbe055745d"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 1080x864 with 5 Axes>"]},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":["- *The `Reviews` column has a wide range of values with lots of outliers. However we are not going to treat this column since the reviews can have a varying range and we can miss out on some genuine values if we treat this column*\n","- *Almost all the columns have outliers present in it*"],"metadata":{"id":"kzKISOBs1CBl"}},{"cell_type":"markdown","source":["### **Conclusions**"],"metadata":{"id":"3fOxjsCF2oG9"}},{"cell_type":"markdown","source":["The Dataset extracted from the Google Play store has been analysed to understand the trend of categories which can be beneficial for investors. With the help of descriptive analysis and visualisations, some insights have been drawn as below:\n","\n","1. *There are a total of 15 categories, among which apps under the Others category are maximum. Since these apps are a mixture of different categories, it will be difficult to conclude which type of app is trending. However, we can look for the second-best category i.e. **Family** category which has the most number of apps*\n","2. *This category of apps is also trending as apps that are free to use and also support Ads*\n","3. *There is a significant difference for free apps between apps that support Ads or not*\n","4. *Almost 80% of apps are rated for all Age groups of users*\n","5. *Ratings for apps does not show any significant effect based on categorization of apps*\n","6. *Higher the number of reviews, higher will be the installation of those apps*\n","7. *Apps under Family category being costlier than other categories still manages to get good ratings, an optimum number of Reviews and installations*\n","8. *It can be inferred that apps under category **Family** are trending along with some other categories like **Game**, **Tools** etc.*\n"],"metadata":{"id":"SEM8cCSj2pcn"}},{"cell_type":"markdown","source":["### **Recommendations**"],"metadata":{"id":"a3fRahz8HNYT"}},{"cell_type":"markdown","source":["1. *Agency should focus on apps under **Family** category for Advertisement as they are significantly trending in the market. They can invest in other categories like **Game** and **Tools** as they also contain trending apps*\n","2. *Since apps which support Ads are mostly free to use, Agency should look forward to invest in free apps rather than paid apps*\n","3. *Investing in free apps under category like **Finance**, **Medical**, should be avoided as they do not support advertisements*\n","4. *As there is a high correlation between Reviews and Installations, therefore agency should check for those apps which have high number of reviews as those apps are more likely to get installed*\n","5. *Agency should not invest in apps under category **Business**, **Books and References** as they are not preferred by the users as they have very low number of installations even they are free to use*"],"metadata":{"id":"-WkyvYXtHPqY"}}]}