activity3.ipynb

untitled0.ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": [],
      "name": "activity3.ipynb",
      "authorship_tag": "ABX9TyPBBwwp0uPzt8LJ2wGdKP3R",
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/gist/sanjaymalladi/78dcad8758c6b8d942fb9867bac63e98/untitled0.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "!pip install pandas"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "Fb-ZNUXqu8vh",
        "outputId": "2e650829-73c5-4e99-f076-eb378a380d79"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Requirement already satisfied: pandas in /usr/local/lib/python3.10/dist-packages (1.5.3)\n",
            "Requirement already satisfied: python-dateutil>=2.8.1 in /usr/local/lib/python3.10/dist-packages (from pandas) (2.8.2)\n",
            "Requirement already satisfied: pytz>=2020.1 in /usr/local/lib/python3.10/dist-packages (from pandas) (2023.4)\n",
            "Requirement already satisfied: numpy>=1.21.0 in /usr/local/lib/python3.10/dist-packages (from pandas) (1.25.2)\n",
            "Requirement already satisfied: six>=1.5 in /usr/local/lib/python3.10/dist-packages (from python-dateutil>=2.8.1->pandas) (1.16.0)\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "import pandas as pd\n",
        "import matplotlib.pyplot as plt\n",
        "from google.colab import drive\n",
        "drive.mount('/content/drive')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "0IZ6AU0NvDsI",
        "outputId": "b090d301-8d09-474e-e622-75b97b7b8e2b"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Drive already mounted at /content/drive; to attempt to forcibly remount, call drive.mount(\"/content/drive\", force_remount=True).\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "HzYut3ZOuaGB",
        "outputId": "bc72e10a-6ad0-4614-9980-5f736c990539"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 800x600 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 800x600 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 800x600 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "file_path = \"/content/drive/MyDrive/Papers on Machine Learning Research.xlsx\"\n",
        "df = pd.read_excel(file_path)\n",
        "df.columns = [column.lower() for column in df.columns]\n",
        "\n",
        "plt.figure(figsize=(8, 6))\n",
        "df['volume'].value_counts().plot(kind='bar', color='skyblue')\n",
        "plt.title('Distribution of Volumes for the First 5 Papers')\n",
        "plt.xlabel('Volume')\n",
        "plt.ylabel('Frequency')\n",
        "plt.xticks(rotation=45)\n",
        "plt.tight_layout()\n",
        "plt.show()\n",
        "\n",
        "plt.figure(figsize=(8, 6))\n",
        "plt.hist(df['pages'], bins=10, color='lightgreen', edgecolor='black')\n",
        "plt.title('Distribution of Pages for the First 5 Papers')\n",
        "plt.xlabel('Pages')\n",
        "plt.ylabel('Frequency')\n",
        "plt.grid(True)\n",
        "plt.tight_layout()\n",
        "plt.show()\n",
        "\n",
        "\n",
        "authors_count = df['authors'].apply(len)\n",
        "plt.figure(figsize=(8, 6))\n",
        "authors_count.value_counts().sort_index().plot(kind='bar', color='salmon')\n",
        "plt.title('Number of Authors for Each Paper')\n",
        "plt.xlabel('Number of Authors')\n",
        "plt.ylabel('Frequency')\n",
        "plt.xticks(rotation=0)\n",
        "plt.tight_layout()\n",
        "plt.show()\n"
      ]
    }
  ]
}