From 15944b1bb2402f63f8391d94e50f418d25d69df4 Mon Sep 17 00:00:00 2001 From: charvi arora <107393948+Charvi-14@users.noreply.github.com> Date: Thu, 3 Oct 2024 20:11:48 +0530 Subject: [PATCH 1/4] Add files via upload --- DataVizLearnig/DataViz_Snippets.ipynb | 561 ++++++++++++++++++++++++++ 1 file changed, 561 insertions(+) create mode 100644 DataVizLearnig/DataViz_Snippets.ipynb diff --git a/DataVizLearnig/DataViz_Snippets.ipynb b/DataVizLearnig/DataViz_Snippets.ipynb new file mode 100644 index 0000000000..b73291ab46 --- /dev/null +++ b/DataVizLearnig/DataViz_Snippets.ipynb @@ -0,0 +1,561 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "61f5ccb7", + "metadata": {}, + "source": [ + "# **Sample Data**" + ] + }, + { + "cell_type": "markdown", + "id": "f9678b6f", + "metadata": {}, + "source": [ + "We generated a dataset of **50 rows** and **10 columns** to represent different types of features:\n", + "\n", + "- **Feature1**: Normally distributed values around 50 with a standard deviation of 10.\n", + "- **Feature2**: Normally distributed values around 100 with a standard deviation of 15.\n", + "- **Feature3**: Random integers between 0 and 100.\n", + "- **Feature4**: Random integers between 0 and 1000.\n", + "- **Category1**: Categorical variable with values 'A', 'B', 'C'.\n", + "- **Category2**: Binary categorical variable with values 'X', 'Y'.\n", + "- **Binary**: Binary variable with values 0 or 1.\n", + "- **Date**: Sequential dates from '2023-01-01' onward.\n", + "- **Feature5**: Normally distributed values around 200 with a standard deviation of 20.\n", + "- **Feature6**: Random integers between 0 and 500." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "436c5200", + "metadata": {}, + "outputs": [], + "source": [ + "import pandas as pd\n", + "import numpy as np\n", + "\n", + "# Generate sample data\n", + "np.random.seed(42)\n", + "data = pd.DataFrame({\n", + " 'Feature1': np.random.normal(50, 10, 50),\n", + " 'Feature2': np.random.normal(100, 15, 50),\n", + " 'Feature3': np.random.randint(0, 100, 50),\n", + " 'Feature4': np.random.randint(0, 1000, 50),\n", + " 'Category1': np.random.choice(['A', 'B', 'C'], 50),\n", + " 'Category2': np.random.choice(['X', 'Y'], 50),\n", + " 'Binary': np.random.choice([0, 1], 50),\n", + " 'Date': pd.date_range(start='2023-01-01', periods=50, freq='D'),\n", + " 'Feature5': np.random.normal(200, 20, 50),\n", + " 'Feature6': np.random.randint(0, 500, 50)\n", + "})\n" + ] + }, + { + "cell_type": "markdown", + "id": "921ed332", + "metadata": {}, + "source": [ + "# ***Beginner Visualizations***" + ] + }, + { + "cell_type": "markdown", + "id": "6e6833cb", + "metadata": {}, + "source": [ + "## 1. Histogram (Univariate Distribution)\n", + "\n", + "- **Visualization**: A histogram shows the distribution of a single variable. The **x-axis** represents the bins (value ranges), and the **y-axis** represents the frequency. A **Kernel Density Estimate (KDE)** shows the probability density.\n", + "- **Purpose**: To understand how the data is distributed (e.g., normal, skewed, etc.).\n", + "- **Data**: `Feature1` shows a normal distribution with a mean around 50.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "60b4b829", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import seaborn as sns\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# Histogram for Feature1\n", + "plt.figure(figsize=(8, 6))\n", + "sns.histplot(data['Feature1'], kde=True, bins=10, color='skyblue')\n", + "plt.title('Distribution of Feature1')\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "id": "a86bd2b3", + "metadata": {}, + "source": [ + "\n", + "## 2. Bar Plot (Categorical vs Numeric)\n", + "\n", + "**Description**: \n", + "A **bar plot** shows the relationship between a categorical variable and a numeric variable. The x-axis represents the categories, while the y-axis shows the average or sum of the numeric values for each category.\n", + "\n", + "- **Purpose**: To compare the influence of categories on a numeric feature.\n", + "- **Data**: Mean of Feature2 across categories of Category1." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "58c40d3f", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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0HMb8/7fsAgAkSbm5ubrmmms0evRo/fnPf/b4/RcVFalhw4a69dZb9c4773j8/gHgt4zTEgD8pm3YsEFvvfWWYmNjFRwcrK1btyotLU3BwcF67LHHPPpYBw8e1NatW5WZman9+/df9K//AQClEbcAftMCAwO1Zs0azZw5U0eOHFFISIji4+M1fvz4836UVUX961//UlJSksLDwzV16lSPfvwXAOAMTksAAACANfgoMAAAAFiDuAUAAIA1iFsAAABYgzeU6czfN9+7d6+CgoLO+yczAQAA4D3GGB0/flwRERFuf5Tml4hbnfnb8JGRkd4eAwAAAL9iz549uvLKK8+7nbiVFBQUJOnMixUcHOzlaQAAAPBLx44dU2RkpKvbzoe4lVynIgQHBxO3AAAAVdivnULKG8oAAABgDeIWAAAA1iBuAQAAYA3iFgAAANYgbgEAAGAN4hYAAADWIG4BAABgDeIWAAAA1iBuAQAAYA3iFgAAANYgbgEAAGAN4hYAAADWIG4BAABgDeIWAAAA1iBuAQAAYA3iFgAAANYgbgEAAGCN6t4eAAAAoCoYPHiwDh48KEmqV6+eXn75ZS9PhIogbgEAACQdPHhQ+/fv9/YYuEiclgAAAABrELcAAACwBnELAAAAaxC3AAAAsAZvKAMAy/CObwC/ZcQtAFiGd3wD+C3jtAQAAABYg7gFAACANYhbAAAAWIO4BQAAgDWIWwAAAFiDuAUAAIA1iFsAAABYg7gFAACANYhbAAAAWIO4BQAAgDWIWwAAAFiDuAUAAIA1iFsAAABYg7gFAACANYhbAAAAWIO4BQAAgDWIWwAAAFiDuAUAAIA1iFsAAABYg7gFAACANYhbAAAAWKO6twcAAAAXb9Cywd4e4bJ36KdDbl/zml6cyR1e9srjErcAqpTfjUvx9giXvVpHj8jn/3+99+gRXlMPyHkuxdsjACgjTksAAACANYhbAAAAWIO4BQAAgDWIWwAAAFiDuAUAAIA1iFsAAABYg7gFAACANbwatx9//LG6dOmiiIgIORwOvf/++27bjTFKSUlRRESE/P39FR8fr82bN7vtU1hYqEGDBumKK65QYGCg7rnnHn333XeX8FkAAACgqvBq3J44cUI33HCDpkyZcs7taWlpSk9P15QpU7R69WqFhYUpISFBx48fd+0zZMgQvffee3r77bf16aefKj8/X507d1ZxcfGlehqoJIMHD1b37t3VvXt3DR7MX4kBAAC/zqt/oeyuu+7SXXfddc5txhhlZGRo5MiR6tq1qyRp9uzZCg0N1bx589SvXz8dPXpUM2fO1BtvvKE77rhDkvTmm28qMjJS//nPf9SxY8dL9lzgeQcPHtT+/fu9PQYAALiMVNlzbnNzc5WXl6fExETXmtPpVFxcnFauXClJWrt2rU6dOuW2T0REhJo1a+ba51wKCwt17NgxtwsAAAAuf1U2bvPy8iRJoaGhbuuhoaGubXl5efLz81Pt2rXPu8+5TJgwQSEhIa5LZGSkh6cHAACAN1TZuD3L4XC4XTfGlFr7pV/bJzk5WUePHnVd9uzZ45FZAQAA4F1VNm7DwsIkqdQR2AMHDriO5oaFhamoqEiHDx8+7z7n4nQ6FRwc7HYBAADA5a/Kxm10dLTCwsKUnZ3tWisqKtKKFSsUGxsrSWrVqpV8fX3d9tm3b5++/PJL1z4AAAD47fDqpyXk5+fr22+/dV3Pzc1VTk6O6tSpo6uuukpDhgxRamqqYmJiFBMTo9TUVAUEBKh79+6SpJCQED322GN65plnVLduXdWpU0fPPvusmjdv7vr0BAAAAPx2eDVu16xZo/bt27uuDx06VJLUq1cvZWVlafjw4SooKNCAAQN0+PBhtWnTRkuXLlVQUJDrNi+99JKqV6+uBx98UAUFBerQoYOysrLk4+NzyZ8PAAAAvMurcRsfHy9jzHm3OxwOpaSkKCUl5bz71KhRQ5MnT9bkyZMrYUIAAABcTqrsObcAAABAeRG3AAAAsAZxCwAAAGsQtwAAALCGV99QBgDwvBKn85xfA8BvAXELAJY5duMN3h4BALyG0xIAAABgDeIWAAAA1iBuAQAAYA3iFgAAANYgbgEAAGANPi0BAABAUvUg33N+jcsLcQsAACAp+tFG3h4BHkDcVqLEh8Z6e4TLWvGhI66v9x88wuvpAUvnP+/tEQAAqFSccwsAAABrELcAAACwBnELAAAAaxC3AAAAsAZxCwAAAGsQtwAAALAGcQsAAABrELcAAACwBnELAAAAaxC3AAAAsAZxCwAAAGsQtwAAALAGcQsAAABrELcAAACwBnELAAAAaxC3AAAAsAZxCwAAAGsQtwAAALAGcQsAAABrELcAAACwBnELAAAAaxC3AAAAsAZxCwAAAGtU9/YAwHlVc577awAAgPMgblFl+dRq6e0RAADAZYbTEgAAAGAN4hYAAADWIG4BAABgDeIWAAAA1iBuAQAAYA3iFgAAANYgbgEAAGAN4hYAAADWIG4BAABgDeIWAAAA1iBuAQAAYA3iFgAAANYgbgEAAGAN4hYAAADWIG4BAABgDeIWAAAA1iBuAQAAYA3iFgAAANYgbgEAAGAN4hYAAADWIG4BAABgDeIWAAAA1iBuAQAAYA3iFgAAANYgbgEAAGAN4hYAAADWIG4BAABgDeIWAAAA1iBuAQAAYA3iFgAAANao0nF7+vRpPffcc4qOjpa/v78aNWqksWPHqqSkxLWPMUYpKSmKiIiQv7+/4uPjtXnzZi9ODQAAAG+p0nE7ceJETZ8+XVOmTNGWLVuUlpamSZMmafLkya590tLSlJ6erilTpmj16tUKCwtTQkKCjh8/7sXJAQAA4A1VOm4/++wz3Xvvvbr77rvVsGFDPfDAA0pMTNSaNWsknTlqm5GRoZEjR6pr165q1qyZZs+erZMnT2revHlenh4AAACXWpWO21tvvVXLli3TN998I0nasGGDPv30U3Xq1EmSlJubq7y8PCUmJrpu43Q6FRcXp5UrV573fgsLC3Xs2DG3CwAAAC5/1b09wIX8z//8j44ePaprrrlGPj4+Ki4u1vjx4/XHP/5RkpSXlydJCg0NdbtdaGiodu3add77nTBhgsaMGVN5gwMAAMArqvSR2/nz5+vNN9/UvHnztG7dOs2ePVsvvPCCZs+e7bafw+Fwu26MKbX2c8nJyTp69KjrsmfPnkqZHwAAAJdWlT5yO2zYMI0YMUIPP/ywJKl58+batWuXJkyYoF69eiksLEzSmSO44eHhrtsdOHCg1NHcn3M6nXI6nZU7PAAAAC65Kn3k9uTJk6pWzX1EHx8f10eBRUdHKywsTNnZ2a7tRUVFWrFihWJjYy/prAAAAPC+Kn3ktkuXLho/fryuuuoqXX/99Vq/fr3S09PVp08fSWdORxgyZIhSU1MVExOjmJgYpaamKiAgQN27d/fy9AAAALjUqnTcTp48WaNGjdKAAQN04MABRUREqF+/fnr++edd+wwfPlwFBQUaMGCADh8+rDZt2mjp0qUKCgry4uQAAADwhiodt0FBQcrIyFBGRsZ593E4HEpJSVFKSsolmwsAAABVU5U+5xYAAAAoD+IWAAAA1iBuAQAAYA3iFgAAANYgbgEAAGAN4hYAAADWIG4BAABgDeIWAAAA1iBuAQAAYA3iFgAAANYgbgEAAGAN4hYAAADWIG4BAABgDeIWAAAA1iBuAQAAYA3iFgAAANYgbgEAAGAN4hYAAADWIG4BAABgDeIWAAAA1iBuAQAAYA3iFgAAANYgbgEAAGAN4hYAAADWIG4BAABgDeIWAAAA1iBuAQAAYA3iFgAAANYgbgEAAGAN4hYAAADWIG4BAABgDeIWAAAA1iBuAQAAYA3iFgAAANYgbgEAAGAN4hYAAADWIG4BAABgDeIWAAAA1iBuAQAAYA3iFgAAANYgbgEAAGAN4hYAAADWIG4BAABgDeIWAAAA1iBuAQAAYA3iFgAAANYgbgEAAGAN4hYAAADWIG4BAABgDeIWAAAA1iBuAQAAYA3iFgAAANYgbgEAAGAN4hYAAADWIG4BAABgDeIWAAAA1ihX3J46dUrDhw9XkyZNdPPNNyszM9Nt+/79++Xj4+PRAQEAAICyKlfcjh8/XnPmzFH//v2VmJiop59+Wv369XPbxxjj0QEBAACAsqpenp3nzp2r119/XZ07d5YkJSUl6a677lJSUpJmzZolSXI4HJ6fEgAAACiDch25/f7779WsWTPX9caNG+ujjz7SZ599pkceeUTFxcUeHxAAAAAoq3LFbVhYmLZv3+62FhERoeXLl2v16tXq1auXR4cDAAAAyqNccXv77bdr3rx5pdbPBu7OnTs9NRcAAABQbuU653bUqFH6+uuvz7mtQYMG+vjjj7V06VKPDAYAAACUV7niNioqSlFRUefdHh4ezqkJAAAA8JoK/xGHN954Q+3atVNERIR27dolScrIyNA//vEPjw0HAAAAlEeF4nbatGkaOnSoOnXqpCNHjrg+JaFWrVrKyMjw5HwAAABAmVUobidPnqzXXntNI0eOdPuLZK1bt9amTZs8NhwAAABQHhWK29zcXLVs2bLUutPp1IkTJy56KAAAAKAiKhS30dHRysnJKbW+ePFiXXfddRc7EwAAAFAhFYrbYcOGaeDAgZo/f76MMVq1apXGjx+vP//5zxo2bJhHB/z+++/Vs2dP1a1bVwEBAfrd736ntWvXurYbY5SSkqKIiAj5+/srPj5emzdv9ugMAAAAuDyU66PAzkpKStLp06c1fPhwnTx5Ut27d1eDBg308ssv6+GHH/bYcIcPH1a7du3Uvn17LV68WPXr19f27dtVq1Yt1z5paWlKT09XVlaWmjZtqnHjxikhIUFbt25VUFCQx2YBAABA1VfuuD19+rTmzp2rLl266PHHH9cPP/ygkpIS1a9f3+PDTZw4UZGRkcrMzHStNWzY0PW1MUYZGRkaOXKkunbtKkmaPXu2QkNDNW/ePPXr18/jMwEAAKDqKvdpCdWrV9cTTzyhwsJCSdIVV1xRKWErSf/85z/VunVrdevWTfXr11fLli312muvubbn5uYqLy9PiYmJrjWn06m4uDitXLnyvPdbWFioY8eOuV0AAABw+avQObdt2rTR+vXrPT1LKTt27NC0adMUExOjf//73+rfv7+eeuopzZkzR5KUl5cnSQoNDXW7XWhoqGvbuUyYMEEhISGuS2RkZOU9CQAAAFwyFTrndsCAAXrmmWf03XffqVWrVgoMDHTb3qJFC48MV1JSotatWys1NVWS1LJlS23evFnTpk3To48+6trP4XC43c4YU2rt55KTkzV06FDX9WPHjhG4AAAAFqhQ3D700EOSpKeeesq15nA4XFF59i+WXazw8PBSHy127bXX6t1335UkhYWFSTpzBDc8PNy1z4EDB0odzf05p9Mpp9PpkRkBAABQdVQobnNzcz09xzm1a9dOW7dudVv75ptvFBUVJenM5+2GhYUpOzvb9UclioqKtGLFCk2cOPGSzAgAAICqo0JxezYuK9vTTz+t2NhYpaam6sEHH9SqVas0Y8YMzZgxQ9KZo8VDhgxRamqqYmJiFBMTo9TUVAUEBKh79+6XZEYAAABUHRWK27Nv6Dqfn58PezFuuukmvffee0pOTtbYsWMVHR2tjIwM9ejRw7XP8OHDVVBQoAEDBujw4cNq06aNli5dymfcAgAA/AZVKG4HDx7sdv3UqVM6efKk/Pz8FBAQ4LG4laTOnTurc+fO593ucDiUkpKilJQUjz0mAAAALk8V+iiww4cPu13y8/O1detW3XrrrXrrrbc8PSMAAABQJhWK23OJiYnR//7v/5Y6qgsAAABcKh6LW0ny8fHR3r17PXmXAAAAQJlV6Jzbf/7zn27XjTHat2+fpkyZonbt2nlkMAAAAKC8KhS39913n9t1h8OhevXq6fbbb9eLL77oibkAAACAcqtQ3JaUlHh6DgAAAOCiVeic27Fjx+rkyZOl1gsKCjR27NiLHgoAAACoiArF7ZgxY5Sfn19q/eTJkxozZsxFDwUAAABURIXi1hgjh8NRan3Dhg2qU6fORQ8FAAAAVES5zrmtXbu2HA6HHA6HmjZt6ha4xcXFys/PV//+/T0+JAAAAFAW5YrbjIwMGWPUp08fjRkzRiEhIa5tfn5+atiwodq2bevxIQEAAICyKFfc9urVS5IUHR2t2NhY+fr6VspQAAAAQEVU6KPA4uLiXF8XFBTo1KlTbtuDg4MvbioAAACgAir0hrKTJ0/qySefVP369VWzZk3Vrl3b7QIAAAB4Q4XidtiwYVq+fLmmTp0qp9Op119/XWPGjFFERITmzJnj6RkBAACAMqnQaQkffPCB5syZo/j4ePXp00e33XabmjRpoqioKM2dO1c9evTw9JwAAADAr6rQkdtDhw4pOjpa0pnzaw8dOiRJuvXWW/Xxxx97bjoAAACgHCoUt40aNdLOnTslSdddd53eeecdSWeO6NaqVctTswEAAADlUqG4TUpK0oYNGyRJycnJrnNvn376aQ0bNsyjAwIAAABlVaFzbp9++mnX1+3bt9fXX3+tNWvWqHHjxrrhhhs8NhwAAABQHhWK25/76aefdNVVV+mqq67yxDwAAABAhVXotITi4mL95S9/UYMGDVSzZk3t2LFDkjRq1CjNnDnTowMCAAAAZVWhuB0/fryysrKUlpYmPz8/13rz5s31+uuve2w4AAAAoDwqFLdz5szRjBkz1KNHD/n4+LjWW7Rooa+//tpjwwEAAADlUaG4/f7779WkSZNS6yUlJTp16tRFDwUAAABURIXi9vrrr9cnn3xSav1vf/ubWrZsedFDAQAAABVRoU9LGD16tB555BF9//33Kikp0YIFC7R161bNmTNHCxcu9PSMAAAAQJmU68jtjh07ZIxRly5dNH/+fC1atEgOh0PPP/+8tmzZog8++EAJCQmVNSsAAABwQeU6chsTE6N9+/apfv366tixo2bNmqVvv/1WYWFhlTUfAAAAUGblOnJrjHG7vnjxYp08edKjAwEAAAAVVaE3lJ31y9gFAAAAvKlccetwOORwOEqtAQAAAFVBuc65Ncaod+/ecjqdkqSffvpJ/fv3V2BgoNt+CxYs8NyEAAAAQBmVK2579erldr1nz54eHQYAAAC4GOWK28zMzMqaAwAAALhoF/WGMgAAAKAqIW4BAABgDeIWAAAA1iBuAQAAYA3iFgAAANYgbgEAAGAN4hYAAADWIG4BAABgDeIWAAAA1iBuAQAAYA3iFgAAANYgbgEAAGAN4hYAAADWIG4BAABgDeIWAAAA1iBuAQAAYA3iFgAAANYgbgEAAGAN4hYAAADWIG4BAABgDeIWAAAA1iBuAQAAYA3iFgAAANYgbgEAAGAN4hYAAADWIG4BAABgDeIWAAAA1iBuAQAAYA3iFgAAANYgbgEAAGAN4hYAAADWIG4BAABgDeIWAAAA1iBuAQAAYI3LKm4nTJggh8OhIUOGuNaMMUpJSVFERIT8/f0VHx+vzZs3e29IAAAAeM1lE7erV6/WjBkz1KJFC7f1tLQ0paena8qUKVq9erXCwsKUkJCg48ePe2lSAAAAeMtlEbf5+fnq0aOHXnvtNdWuXdu1boxRRkaGRo4cqa5du6pZs2aaPXu2Tp48qXnz5nlxYgAAAHjDZRG3AwcO1N1336077rjDbT03N1d5eXlKTEx0rTmdTsXFxWnlypXnvb/CwkIdO3bM7QIAAIDLX3VvD/Br3n77ba1du1Zr1qwptS0vL0+SFBoa6rYeGhqqXbt2nfc+J0yYoDFjxnh2UAAAAHhdlT5yu2fPHg0ePFhz585VjRo1zrufw+Fwu26MKbX2c8nJyTp69KjrsmfPHo/NDAAAAO+p0kdu165dqwMHDqhVq1auteLiYn388ceaMmWKtm7dKunMEdzw8HDXPgcOHCh1NPfnnE6nnE5n5Q0OAAAAr6jSR247dOigTZs2KScnx3Vp3bq1evTooZycHDVq1EhhYWHKzs523aaoqEgrVqxQbGysFycHAACAN1TpI7dBQUFq1qyZ21pgYKDq1q3rWh8yZIhSU1MVExOjmJgYpaamKiAgQN27d/fGyAAAAPCiKh23ZTF8+HAVFBRowIABOnz4sNq0aaOlS5cqKCjI26MBAADgErvs4vajjz5yu+5wOJSSkqKUlBSvzAMAAICqo0qfcwsAAACUB3ELAAAAaxC3AAAAsAZxCwAAAGsQtwAAALAGcQsAAABrELcAAACwBnELAAAAaxC3AAAAsAZxCwAAAGsQtwAAALAGcQsAAABrELcAAACwBnELAAAAaxC3AAAAsAZxCwAAAGsQtwAAALAGcQsAAABrELcAAACwBnELAAAAaxC3AAAAsAZxCwAAAGsQtwAAALAGcQsAAABrELcAAACwBnELAAAAaxC3AAAAsAZxCwAAAGsQtwAAALAGcQsAAABrELcAAACwBnELAAAAaxC3AAAAsAZxCwAAAGsQtwAAALAGcQsAAABrELcAAACwBnELAAAAaxC3AAAAsAZxCwAAAGsQtwAAALAGcQsAAABrELcAAACwBnELAAAAaxC3AAAAsAZxCwAAAGsQtwAAALAGcQsAAABrELcAAACwBnELAAAAaxC3AAAAsAZxCwAAAGsQtwAAALAGcQsAAABrELcAAACwBnELAAAAaxC3AAAAsAZxCwAAAGsQtwAAALAGcQsAAABrELcAAACwBnELAAAAaxC3AAAAsAZxCwAAAGsQtwAAALAGcQsAAABrELcAAACwBnELAAAAaxC3AAAAsEaVjtsJEybopptuUlBQkOrXr6/77rtPW7duddvHGKOUlBRFRETI399f8fHx2rx5s5cmBgAAgDdV6bhdsWKFBg4cqM8//1zZ2dk6ffq0EhMTdeLECdc+aWlpSk9P15QpU7R69WqFhYUpISFBx48f9+LkAAAA8Ibq3h7gQpYsWeJ2PTMzU/Xr19fatWv1+9//XsYYZWRkaOTIkerataskafbs2QoNDdW8efPUr18/b4wNAAAAL6nSR25/6ejRo5KkOnXqSJJyc3OVl5enxMRE1z5Op1NxcXFauXLlee+nsLBQx44dc7sAAADg8nfZxK0xRkOHDtWtt96qZs2aSZLy8vIkSaGhoW77hoaGurady4QJExQSEuK6REZGVt7gAAAAuGQum7h98skntXHjRr311lultjkcDrfrxphSaz+XnJyso0ePui579uzx+LwAAAC49Kr0ObdnDRo0SP/85z/18ccf68orr3Sth4WFSTpzBDc8PNy1fuDAgVJHc3/O6XTK6XRW3sAAAADwiip95NYYoyeffFILFizQ8uXLFR0d7bY9OjpaYWFhys7Odq0VFRVpxYoVio2NvdTjAgAAwMuq9JHbgQMHat68efrHP/6hoKAg13m0ISEh8vf3l8Ph0JAhQ5SamqqYmBjFxMQoNTVVAQEB6t69u5enBwAAwKVWpeN22rRpkqT4+Hi39czMTPXu3VuSNHz4cBUUFGjAgAE6fPiw2rRpo6VLlyooKOgSTwsAAABvq9Jxa4z51X0cDodSUlKUkpJS+QMBAACgSqvS59wCAAAA5UHcAgAAwBrELQAAAKxB3AIAAMAaxC0AAACsQdwCAADAGsQtAAAArEHcAgAAwBrELQAAAKxB3AIAAMAaxC0AAACsQdwCAADAGsQtAAAArEHcAgAAwBrELQAAAKxB3AIAAMAaxC0AAACsQdwCAADAGsQtAAAArEHcAgAAwBrELQAAAKxB3AIAAMAaxC0AAACsQdwCAADAGsQtAAAArEHcAgAAwBrELQAAAKxB3AIAAMAaxC0AAACsQdwCAADAGsQtAAAArEHcAgAAwBrELQAAAKxB3AIAAMAaxC0AAACsQdwCAADAGsQtAAAArEHcAgAAwBrELQAAAKxB3AIAAMAaxC0AAACsQdwCAADAGsQtAAAArEHcAgAAwBrELQAAAKxB3AIAAMAaxC0AAACsQdwCAADAGsQtAAAArEHcAgAAwBrELQAAAKxB3AIAAMAaxC0AAACsQdwCAADAGsQtAAAArEHcAgAAwBrELQAAAKxB3AIAAMAaxC0AAACsQdwCAADAGsQtAAAArEHcAgAAwBrELQAAAKxB3AIAAMAaxC0AAACsQdwCAADAGsQtAAAArEHcAgAAwBrELQAAAKxhTdxOnTpV0dHRqlGjhlq1aqVPPvnE2yMBAADgErMibufPn68hQ4Zo5MiRWr9+vW677Tbddddd2r17t7dHAwAAwCVkRdymp6frscceU9++fXXttdcqIyNDkZGRmjZtmrdHAwAAwCVU3dsDXKyioiKtXbtWI0aMcFtPTEzUypUrz3mbwsJCFRYWuq4fPXpUknTs2DGPznb61E8evT/gYnn6v/HKUPxT4a/vBFxil8PPTtEJfnZQtXj65+bs/RljLrjfZR+3P/zwg4qLixUaGuq2Hhoaqry8vHPeZsKECRozZkyp9cjIyEqZEagqQt6b4O0RgMtSyPj/9fYIwGVnhv5aKfd7/PhxhYSEnHf7ZR+3ZzkcDrfrxphSa2clJydr6NChruslJSU6dOiQ6tate97bwDuOHTumyMhI7dmzR8HBwd4eB7hs8LMDVAw/O1WXMUbHjx9XRETEBfe77OP2iiuukI+PT6mjtAcOHCh1NPcsp9Mpp9PptlarVq3KGhEeEBwczP9kgArgZweoGH52qqYLHbE967J/Q5mfn59atWql7Oxst/Xs7GzFxsZ6aSoAAAB4w2V/5FaShg4dqkceeUStW7dW27ZtNWPGDO3evVv9+/f39mgAAAC4hKyI24ceekg//vijxo4dq3379qlZs2ZatGiRoqKivD0aLpLT6dTo0aNLnUYC4ML42QEqhp+dy5/D/NrnKQAAAACXicv+nFsAAADgLOIWAAAA1iBuAQAAYA3iFgAAANYgblEl9e7dWw6Hw3WpW7eu7rzzTm3cuNHbowFV3sqVK+Xj46M777zT26MAl428vDwNGjRIjRo1ktPpVGRkpLp06aJly5Z5ezSUE3GLKuvOO+/Uvn37tG/fPi1btkzVq1dX586dvT0WUOXNmjVLgwYN0qeffqrdu3d7exygytu5c6datWql5cuXKy0tTZs2bdKSJUvUvn17DRw40NvjoZz4KDBUSb1799aRI0f0/vvvu9Y++eQT/f73v9eBAwdUr1497w0HVGEnTpxQeHi4Vq9erdGjR+u6667T888/7+2xgCqtU6dO2rhxo7Zu3arAwEC3bUeOHFGtWrW8MxgqhCO3uCzk5+dr7ty5atKkierWrevtcYAqa/78+br66qt19dVXq2fPnsrMzBTHMIDzO3TokJYsWaKBAweWCltJhO1lyIq/UAY7LVy4UDVr1pT0f0ejFi5cqGrV+DcZcD4zZ85Uz549JZ05tSc/P1/Lli3THXfc4eXJgKrp22+/lTFG11xzjbdHgYdQCaiy2rdvr5ycHOXk5OiLL75QYmKi7rrrLu3atcvbowFV0tatW7Vq1So9/PDDkqTq1avroYce0qxZs7w8GVB1nf3NhsPh8PIk8BSO3KLKCgwMVJMmTVzXW7VqpZCQEL322msaN26cFycDqqaZM2fq9OnTatCggWvNGCNfX18dPnxYtWvX9uJ0QNUUExMjh8OhLVu26L777vP2OPAAjtzisuFwOFStWjUVFBR4exSgyjl9+rTmzJmjF1980fUbj5ycHG3YsEFRUVGaO3eut0cEqqQ6deqoY8eOevXVV3XixIlS248cOXLph8JFIW5RZRUWFiovL095eXnasmWLBg0apPz8fHXp0sXbowFVzsKFC3X48GE99thjatasmdvlgQce0MyZM709IlBlTZ06VcXFxbr55pv17rvvatu2bdqyZYteeeUVtW3b1tvjoZyIW1RZS5YsUXh4uMLDw9WmTRutXr1af/vb3xQfH+/t0YAqZ+bMmbrjjjsUEhJSatsf/vAH5eTkaN26dV6YDKj6oqOjtW7dOrVv317PPPOMmjVrpoSEBC1btkzTpk3z9ngoJz7nFgAAANbgyC0AAACsQdwCAADAGsQtAAAArEHcAgAAwBrELQAAAKxB3AIAAMAaxC0AAACsQdwCAADAGsQtAAAArEHcAoCH5eXladCgQWrUqJGcTqciIyPVpUsXLVu2rEy3z8rKUq1atSp3yEowY8YMxcfHKzg4WA6HQ0eOHPH2SAB+g4hbAPCgnTt3qlWrVlq+fLnS0tK0adMmLVmyRO3bt9fAgQO9PV6FnDp1qkz7nTx5Unfeeaf+/Oc/V/JEAHB+xC0AeNCAAQPkcDi0atUqPfDAA2ratKmuv/56DR06VJ9//rkkKT09Xc2bN1dgYKAiIyM1YMAA5efnS5I++ugjJSUl6ejRo3I4HHI4HEpJSZEkFRUVafjw4WrQoIECAwPVpk0bffTRR26P/9prrykyMlIBAQG6//77lZ6eXuoo8LRp09S4cWP5+fnp6quv1htvvOG23eFwaPr06br33nsVGBiocePGqUmTJnrhhRfc9vvyyy9VrVo1bd++XZI0ZMgQjRgxQrfccouHXk0AKD/iFgA85NChQ1qyZIkGDhyowMDAUtvPRma1atX0yiuv6Msvv9Ts2bO1fPlyDR8+XJIUGxurjIwMBQcHa9++fdq3b5+effZZSVJSUpL++9//6u2339bGjRvVrVs33Xnnndq2bZsk6b///a/69++vwYMHKycnRwkJCRo/frzbDO+9954GDx6sZ555Rl9++aX69eunpKQkffjhh277jR49Wvfee682bdqkPn36qE+fPsrMzHTbZ9asWbrtttvUuHFjj7x+AOARBgDgEV988YWRZBYsWFCu273zzjumbt26ruuZmZkmJCTEbZ9vv/3WOBwO8/3337utd+jQwSQnJxtjjHnooYfM3Xff7ba9R48ebvcVGxtrHn/8cbd9unXrZjp16uS6LskMGTLEbZ+9e/caHx8f88UXXxhjjCkqKjL16tUzWVlZpZ7Phx9+aCSZw4cPX/iJA0Al4MgtAHiIMUbSmV/rX8iHH36ohIQENWjQQEFBQXr00Uf1448/6sSJE+e9zbp162SMUdOmTVWzZk3XZcWKFa7TArZu3aqbb77Z7Xa/vL5lyxa1a9fOba1du3basmWL21rr1q3droeHh+vuu+/WrFmzJEkLFy7UTz/9pG7dul3wuQLApUbcAoCHxMTEyOFwlArFn9u1a5c6deqkZs2a6d1339XatWv16quvSrrwG7dKSkrk4+OjtWvXKicnx3XZsmWLXn75ZUln4vqXYX02uH/uXPv8cu1cp1X07dtXb7/9tgoKCpSZmamHHnpIAQEB550ZALyBuAUAD6lTp446duyoV1999ZxHYY8cOaI1a9bo9OnTevHFF3XLLbeoadOm2rt3r9t+fn5+Ki4udltr2bKliouLdeDAATVp0sTtEhYWJkm65pprtGrVKrfbrVmzxu36tddeq08//dRtbeXKlbr22mt/9fl16tRJgYGBmjZtmhYvXqw+ffr86m0A4FIjbgHAg6ZOnari4mLdfPPNevfdd7Vt2zZt2bJFr7zyitq2bavGjRvr9OnTmjx5snbs2KE33nhD06dPd7uPhg0bKj8/X8uWLdMPP/ygkydPqmnTpurRo4ceffRRLViwQLm5uVq9erUmTpyoRYsWSZIGDRqkRYsWKT09Xdu2bdNf//pXLV682O2o7LBhw5SVlaXp06dr27ZtSk9P14IFC1xvWrsQHx8f9e7dW8nJyWrSpInatm3rtj0vL085OTn69ttvJUmbNm1STk6ODh06dLEvKwCUnVfP+AUAC+3du9cMHDjQREVFGT8/P9OgQQNzzz33mA8//NAYY0x6eroJDw83/v7+pmPHjmbOnDml3oDVv39/U7duXSPJjB492hhz5k1czz//vGnYsKHx9fU1YWFh5v777zcbN2503W7GjBmmQYMGxt/f39x3331m3LhxJiwszG2+qVOnmkaNGhlfX1/TtGlTM2fOHLftksx77713zue2fft2I8mkpaWV2jZ69GgjqdQlMzOz3K8hAFSUw5hznJAFALDC448/rq+//lqffPKJR+7vv//9r+Lj4/Xdd98pNDTUI/cJAJ5U3dsDAAA854UXXlBCQoICAwO1ePFizZ49W1OnTr3o+y0sLNSePXs0atQoPfjgg4QtgCqLc24BwCKrVq1SQkKCmjdvrunTp+uVV15R3759L/p+33rrLV199dU6evSo0tLSPDApAFQOTksAAACANThyCwAAAGsQtwAAALAGcQsAAABrELcAAACwBnELAAAAaxC3AAAAsAZxCwAAAGsQtwAAALDG/wNJTuynjhRgmwAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Bar plot for Category1 and Feature2\n", + "plt.figure(figsize=(8, 6))\n", + "sns.barplot(x='Category1', y='Feature2', data=data, palette='viridis')\n", + "plt.title('Category1 vs Feature2')\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "id": "189f1f43", + "metadata": {}, + "source": [ + "# ***Intermediate Visualizations***" + ] + }, + { + "cell_type": "markdown", + "id": "5f9e1115", + "metadata": {}, + "source": [ + "\n", + "## 1. Box Plot (Categorical vs Numeric with Outliers)\n", + "### Description:\n", + "A **box plot** displays the distribution of a numeric variable for each category, including the **median**, **interquartile range (IQR)**, and outliers. The **whiskers** show the spread of the data, while **outliers** are represented as individual points.\n", + "\n", + "**Purpose**: \n", + "To observe the spread and detect outliers across categories.\n", + "\n", + "**Data**: \n", + "Distribution of `Feature3` across categories in `Category1`.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "d68bbcc2", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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KlSvUc/dSB4R169ZNI0eO1LRp09SkSRMlJSVd8u8M2BnTEoASLveNOfco9latWun06dN5vphg/vz5rvW5+vXrp19++UWLFy/WG2+8oU8++aTQ5wMtjKCgIDVu3FiLFy92GyXLycnRW2+9pcqVK6tWrVqSJKfTKUkFGk0rzH6LU+3atRUdHa0dO3aoUaNG+V5yy47D4XDdp1w7d+7M85Hz5e53tWrVlJycrN9//921LCMjQ1988UWB8gYGBqpFixb67rvvVL9+/XzzXjyqeLHc6QQXl9NLWbBggdv1DRs26NChQ3nO4duxY0dVqVJFw4YN05dffqkBAwYU6Kj+MWPGKCUlRYMHD5YxJs/606dPa/ny5ZL+Vwov/DsYYzRr1qw8t3M6nfn+Ddq3b69jx44pOzs738cv9z8zd955pyTlOZ3a+++/r6ysLLdlrVq10qpVq1xlNtf8+fMVGBhY4NPQ+fv76x//+IfmzZunyZMn69Zbb1XTpk0LdFvAThi5BUqQ3bt3u94Yjx07psWLF2vFihXq2LGja8Ttscce07Rp09SjRw8dPHhQ9erV01dffaUJEyaoXbt2uuuuuyRJr7/+ut566y3NmTNHderUUZ06dfTEE09o5MiRatq0qWuErrhNnDhRrVu3VosWLfT000/Lz89P06dP1+7du/X222+7CkjdunUlSTNnzlRwcLD8/f0VFRV1yfJV0P0Wt9dee0333HOP2rZtq549eyoiIkLHjx/X3r179e2337rmkbZv317PPfecxo4dq+bNm2vfvn0aP368oqKi3MpOcHCwqlatqo8//litWrVS2bJlVb58eVWrVk1dunTRs88+q65du2r48OE6d+6cXn311UKdtu2VV17RHXfcoWbNmql///6qVq2aTp06pf379+vTTz/VqlWrXPdr/fr1atOmjSIjI3XmzBmtX79eU6ZMUUxMjO6///4C/b6tW7fq8ccfV+fOnXX48GGNHj1aERERGjBggNt23t7eGjhwoEaOHKmgoKA8p8q6lM6dO2vMmDF67rnn9MMPP6hPnz6uL3HYtGmTXnvtNXXp0kVt2rRR69at5efnp4cfflgjRozQuXPnlJiYqJSUlDz7rVevnhYvXqzExEQ1bNhQXl5eatSokbp27aoFCxaoXbt2evLJJ3XbbbfJ19dXv/76q1avXq37779fHTt2VJ06dfTwww/r5Zdflre3t1q2bKk9e/bo5ZdfVkhIiLy8/je2NHbsWC1ZskQtWrTQs88+q7Jly2rBggX67LPPFB8fr5CQkAI9FpI0YMAAxcfHa9u2bZc8h+3SpUt15swZ16cG33//vd5//31JUrt27a44Ag54PEsPZwNQIPmdLSEkJMTceuutZvLkyebcuXNu2x87dsz069fPVKxY0fj4+JiqVauaUaNGubbbuXOnCQgIcDti25jzp6Jq2LChqVatmutUTfm51KnALpbf2RKMMWb9+vWmZcuWJigoyAQEBJgmTZqYTz/9NM/tExISTFRUlPH29s53PxcryH6LcraEK227Y8cO89BDD5nQ0FDj6+trwsPDTcuWLc2MGTNc26Snp5unn37aREREGH9/f/OXv/zFfPTRR/meAeHLL780DRo0ME6nM8+R9Z9//rm59dZbTUBAgKlevbqZOnXqJc+WMHDgwEver969e5uIiAjj6+trKlSoYGJiYtzOYPD111+b9u3bm0qVKhk/Pz8TGBhobrnlFvPcc8+ZM2fOXPGxy33OLl++3Dz66KOmdOnSJiAgwLRr18789NNP+d7m4MGDRpLp16/fFfd/sbVr15pOnTqZihUrGl9fX1OqVClz++23mxdffNGcPHnStd2nn35qbrnlFuPv728iIiLM8OHDzdKlS/OcmeP48eOmU6dOpnTp0sbhcLg9vpmZmeall15y7eeGG24wN954o+nbt6/bfTt37pwZOnSoCQ0NNf7+/qZJkyZm48aNJiQkxDz11FNu+Xft2mU6dOhgQkJCjJ+fn7nlllvyPN8L+rqLjY01ZcuWdTst2YWqVq16ybOAXO7sFEBJ4TAmn89xAAC4zqZMmaLBgwdr9+7dqlOnjtVxrokNGzaoadOmWrBgQZ6vdC4OycnJqlq1qgYNGqT4+Phi3z9QElBuAQCW+u6773TgwAH17dtXTZs2zTNfvKRasWKFNm7cqIYNGyogIEA7duzQv/71L4WEhGjnzp3y9/cvtt/166+/6ueff9aLL76oVatW6ccff3Q7kA34M2HOLQDAUh07dlRSUpKaNWumGTNmWB2n2JQqVUrLly9XQkKCTp06pfLly+uee+7RxIkTi7XYSufn0I8fP17VqlXTggULKLb4U2PkFgAAALbBqcAAAABgG5RbAAAA2AblFgAAALbBAWU6/y1GR44cUXBw8DU70TsAAACKzhijU6dOqVKlSm5fhHIxyq3Of393ZGSk1TEAAABwBYcPH1blypUvuZ5yK7m++/3w4cMqVaqUxWkAAABwsZMnTyoyMtLV2y6Fciu5piKUKlWKcgsAAODBrjSFlAPKAAAAYBuWltt169apQ4cOqlSpkhwOR56vXDTGKC4uTpUqVVJAQIBiY2O1Z88et23S09M1aNAglS9fXkFBQbrvvvv066+/Xsd7AQAAAE9habk9c+aMbrnlFk2dOjXf9fHx8Zo8ebKmTp2qLVu2KDw8XK1bt9apU6dc2wwZMkQffvih3nnnHX311Vc6ffq02rdvr+zs7Ot1NwAAAOAhPObrdx0Ohz788EM98MADks6P2laqVElDhgzRyJEjJZ0fpQ0LC9OkSZPUt29fpaamqkKFCnrzzTfVpUsXSf8788Hnn3+utm3bFuh3nzx5UiEhIUpNTWXOLQAAgAcqaF/z2Dm3Bw4cUFJSktq0aeNa5nQ61bx5c23YsEGStG3bNmVmZrptU6lSJdWtW9e1TX7S09N18uRJtwsAAABKPo8tt0lJSZKksLAwt+VhYWGudUlJSfLz81OZMmUuuU1+Jk6cqJCQENeFc9wCAADYg8eW21wXn+7BGHPFU0BcaZtRo0YpNTXVdTl8+HCxZAUAAIC1PLbchoeHS1KeEdjk5GTXaG54eLgyMjKUkpJyyW3y43Q6Xee05dy2AAAA9uGx5TYqKkrh4eFasWKFa1lGRobWrl2rmJgYSVLDhg3l6+vrts3Ro0e1e/du1zYAAAD487D0G8pOnz6t/fv3u64fOHBA27dvV9myZVWlShUNGTJEEyZMUHR0tKKjozVhwgQFBgaqW7dukqSQkBD16dNHw4YNU7ly5VS2bFk9/fTTqlevnu666y6r7hYAAAAsYmm53bp1q1q0aOG6PnToUElSjx49NHfuXI0YMUJnz57VgAEDlJKSosaNG2v58uVu3yn873//Wz4+PnrooYd09uxZtWrVSnPnzpW3t/d1vz8AAACwlsec59ZKnOcWAADAs5X489wCAAAAhUW5BQAAgG1QbgEAAGAblFsAAADYhqVnS4B1jDFKT0+3OsZlGWOUkZEhSfLz87viN9N5AqfTWSJyAgBgV5TbP6n09HT17t3b6hi2M3v2bPn7+1sdAwCAPy2mJQAAAMA2GLn9k3I6nZo9e7bVMS4rPT1d/fv3lyQlJibK6XRanOjKSkJGAADsjHL7J+VwOErUx+dOp7NE5YV9MV+9+DFX3f5KwutG4rVjF5RbACgE5qsXP+aq2x+vm2uD107+mHMLAAAA22DkFgAKgfnqxc/T8+HqlYTXjcRrxy4otwBQCMxXBwqvpL1uJF47JRnTEgAAAGAblFsAAADYBuUWAAAAtkG5BQAAgG1QbgEAAGAblFsAAADYBuUWAAAAtkG5BQAAgG1QbgEAAGAblFsAAADYBuUWAAAAtkG5BQAAgG1QbgEAAGAblFsAAADYBuUWAAAAtkG5BQAAgG1QbgEAAGAblFsAAADYBuUWAAAAtkG5BQAAgG1QbgEAAGAblFsAAADYBuUWAAAAtkG5BQAAgG1QbgEAAGAblFsAAADYBuUWAAAAtkG5BQAAgG1QbgEAAGAblFsAAADYBuUWAAAAtkG5BQAAgG1QbgEAAGAblFsAAADYBuUWAAAAtkG5BQAAgG1QbgEAAGAblFsAAADYBuUWAAAAtkG5BQAAgG1QbgEAAGAblFsAAADYBuUWAAAAtkG5BQAAgG1QbgEAAGAblFsAAADYBuUWAAAAtkG5BQAAgG1QbgEAAGAblFsAAADYBuUWAAAAtkG5BQAAgG1QbgEAAGAblFsAAADYBuUWAAAAtkG5BQAAgG1QbgEAAGAblFsAAADYBuUWAAAAtkG5BQAAgG1QbgEAAGAblFsAAADYhkeX26ysLP2///f/FBUVpYCAAFWvXl3jx49XTk6OaxtjjOLi4lSpUiUFBAQoNjZWe/bssTA1AAAArOLR5XbSpEmaMWOGpk6dqr179yo+Pl4vvviipkyZ4tomPj5ekydP1tSpU7VlyxaFh4erdevWOnXqlIXJAQAAYAWPLrcbN27U/fffr3vvvVfVqlVTp06d1KZNG23dulXS+VHbhIQEjR49Wg8++KDq1q2refPmKS0tTQsXLrQ4PQAAAK43jy63d9xxh1auXKkff/xRkrRjxw599dVXateunSTpwIEDSkpKUps2bVy3cTqdat68uTZs2HDJ/aanp+vkyZNuFwAAAJR8PlYHuJyRI0cqNTVVN954o7y9vZWdna0XXnhBDz/8sCQpKSlJkhQWFuZ2u7CwMB06dOiS+504caLGjRt37YIDAADAEh49crto0SK99dZbWrhwob799lvNmzdPL730kubNm+e2ncPhcLtujMmz7EKjRo1Samqq63L48OFrkh8AAADXl0eP3A4fPlzPPPOMunbtKkmqV6+eDh06pIkTJ6pHjx4KDw+XdH4Et2LFiq7bJScn5xnNvZDT6ZTT6by24QEAAHDdefTIbVpamry83CN6e3u7TgUWFRWl8PBwrVixwrU+IyNDa9euVUxMzHXNCgAAAOt59Mhthw4d9MILL6hKlSqqU6eOvvvuO02ePFm9e/eWdH46wpAhQzRhwgRFR0crOjpaEyZMUGBgoLp162ZxegAAAFxvHl1up0yZojFjxmjAgAFKTk5WpUqV1LdvXz377LOubUaMGKGzZ89qwIABSklJUePGjbV8+XIFBwdbmBwAgOvDGKP09HSrY9jChY8jj2nxcDqdlz0O6lpwGGPMdf2NHujkyZMKCQlRamqqSpUqZXUc/J9z5865Rulnz54tf39/ixMBJQOvnT+XC//egKcpzn+DCtrXPHrOLQAAAFAYHj0tAQAAFNxtrXrK29vX6hglljFGOdlZkiQvb5/r/nG6XWRnZ2rzyrmW/X7KLQAANuHt7StvH8rtVfH1szoBrhLTEgAAAGAblFsAAADYBuUWAAAAtkG5BQAAgG1QbgEAAGAblFsAAADYBuUWAAAAtkG5BQAAgG1QbgEAAGAblFsAAADYBuUWAAAAtkG5BQAAgG1QbgEAAGAblFsAAADYBuUWAAAAtkG5BQAAgG1QbgEAAGAblFsAAADYBuUWAAAAtkG5BQAAgG1QbgEAAGAblFsAAADYBuUWAAAAtkG5BQAAgG1QbgEAAGAblFsAAADYBuUWAAAAtkG5BQAAgG1QbgEAAGAblFsAAADYBuUWAAAAtkG5BQAAgG1QbgEAAGAblFsAAADYBuUWAAAAtkG5BQAAgG1QbgEAAGAbPlYHsCNjjNLT062OUeJd+BjyeBYfp9Mph8NhdQwAAK4Jyu01kJ6ert69e1sdw1b69+9vdQTbmD17tvz9/a2OAQDANcG0BAAAANgGI7fXWGinFnL4eFsdo0QyxkjZOeeveHvxUfpVMFnZSn5/tdUxAAC45ii315jDx1tevjzMsFaO1QEAALhOmJYAAAAA26DcAgAAwDYotwAAALANyi0AAABsg3ILAAAA26DcAgAAwDYotwAAALANyi0AAABsg3ILAAAA2+CrswB4BGOM0tPTrY5hCxc+jjymxcfpdPI14EAJQLkF4BHS09PVu3dvq2PYTv/+/a2OYBuzZ8+Wv7+/1TEAXAHTEgAAAGAbjNwC8DjPNa4oP28+/i0qY4wyc4wkydfLwUfpVyEj22jMpqNWxwBQCJRbAB7Hz9shpzcfLF0NPjwvLjlWBwBQSLx7AAAAwDYotwAAALANyi0AAABsg3ILAAAA26DcAgAAwDYotwAAALANyi0AAABsg3ILAAAA26DcAgAAwDYotwAAALANyi0AAABsg3ILAAAA26DcAgAAwDYotwAAALANyi0AAABsg3ILAAAA26DcAgAAwDY8vtz+9ttveuSRR1SuXDkFBgbq1ltv1bZt21zrjTGKi4tTpUqVFBAQoNjYWO3Zs8fCxAAAALCKR5fblJQUNW3aVL6+vlq6dKm+//57vfzyyypdurRrm/j4eE2ePFlTp07Vli1bFB4ertatW+vUqVPWBQcAAIAlfKwOcDmTJk1SZGSk5syZ41pWrVo118/GGCUkJGj06NF68MEHJUnz5s1TWFiYFi5cqL59+17vyAAAALCQR4/cfvLJJ2rUqJE6d+6s0NBQNWjQQLNmzXKtP3DggJKSktSmTRvXMqfTqebNm2vDhg2X3G96erpOnjzpdgEAAEDJ59Hl9ueff1ZiYqKio6P1xRdfqF+/fho8eLDmz58vSUpKSpIkhYWFud0uLCzMtS4/EydOVEhIiOsSGRl57e4EAAAArhuPLrc5OTn6y1/+ogkTJqhBgwbq27ev/v73vysxMdFtO4fD4XbdGJNn2YVGjRql1NRU1+Xw4cPXJD8AAACuL48utxUrVtTNN9/stuymm27SL7/8IkkKDw+XpDyjtMnJyXlGcy/kdDpVqlQptwsAAABKPo8ut02bNtW+ffvclv3444+qWrWqJCkqKkrh4eFasWKFa31GRobWrl2rmJiY65oVAAAA1vPosyU89dRTiomJ0YQJE/TQQw9p8+bNmjlzpmbOnCnp/HSEIUOGaMKECYqOjlZ0dLQmTJigwMBAdevWzeL0AAAAuN48utz+9a9/1YcffqhRo0Zp/PjxioqKUkJCgrp37+7aZsSIETp79qwGDBiglJQUNW7cWMuXL1dwcLCFyQEAAGAFjy63ktS+fXu1b9/+kusdDofi4uIUFxd3/UIBAADAI3n0nFsAAACgMCi3AAAAsA3KLQAAAGyDcgsAAADboNwCAADANii3AAAAsA2PPxUYgD8HY4zr54zsHAuTAP9z4XPxwucoAM9FuQXgETIyMlw/j9mUZGESIH8ZGRkKCAiwOgaAK2BaAgAAAGyDkVsAHsHPz8/183ONw+Xnzf+9Yb2M7BzXJwkXPkcBeC7KLQCP4HA4XD/7eXvJSbmFh7nwOepJLpwLnJ2VaWES4LwLn4dWzFWn3AIAUIJdOF9986q51gUB8mHFXHWGRgAAAGAbjNwCAFCCXTgX+LaWPeXt42thGuD8tITcTxGsmKtOuQUAoAS7cC6wt48v5RYexYq56kxLAAAAgG0UqdxmZ2e7Xd+0aZPWrVunzEyO0gQAAIB1ClVujx49qjvuuENOp1PNmzdXSkqK2rdvr9tvv12xsbGqW7eujh49eq2yAgAAAJdVqHI7cuRIGWP04YcfqmLFimrfvr1Onjypw4cP69ChQwoLC9MLL7xwrbICAAAAl1WoA8q+/PJLLV68WE2aNFHTpk1Vvnx5rVixQhEREZKkcePG6fHHH78mQQEAAIArKdTIbUpKiqvIli1bVoGBgapataprfY0aNZiWAAAAAMsUqtyGhoa6ldcnnnhCZcuWdV1PSUlRUFBQ8aUDAAAACqFQ5fbWW2/Vxo0bXdf/9a9/uZXbr776SvXr1y++dAAAAEAhFGrO7ccff3zZ9bfddpuaN29+VYEAAACAoirWbyj761//Wpy7AwAAAAqlyN9Q9uabb6pp06aqVKmSDh06JElKSEi44uguAAAAcK0UqdwmJiZq6NChateunU6cOOH6xrLSpUsrISGhOPMBAAAABVakcjtlyhTNmjVLo0ePlre3t2t5o0aNtGvXrmILBwAAABRGkcrtgQMH1KBBgzzLnU6nzpw5c9WhAAAAgKIoUrmNiorS9u3b8yxfunSpbr755qvNBAAAABRJkc6WMHz4cA0cOFDnzp2TMUabN2/W22+/rYkTJ+r1118v7owAAABAgRSp3Pbq1UtZWVkaMWKE0tLS1K1bN0VEROiVV15R165dizsjAAAAUCCFLrdZWVlasGCBOnTooL///e/6448/lJOTo9DQ0GuRDwAAACiwQs+59fHxUf/+/ZWeni5JKl++PMUWAAAAHqFIB5Q1btxY3333XXFnAQAAAK5KkebcDhgwQMOGDdOvv/6qhg0bKigoyG19/fr1iyUcAAAAUBhFKrddunSRJA0ePNi1zOFwyBgjh8Ph+sYyAAAA4HoqUrk9cOBAcecAAAAArlqRym3VqlWLOwcAAABw1YpUbufPn3/Z9Y899liRwgAAAABXo0jl9sknn3S7npmZqbS0NPn5+SkwMJByCwAAAEsU6VRgKSkpbpfTp09r3759uuOOO/T2228Xd0YAAACgQIpUbvMTHR2tf/3rX3lGdQEAAIDrpdjKrSR5e3vryJEjxblLAAAAoMCKNOf2k08+cbtujNHRo0c1depUNW3atFiCAQAAAIVVpHL7wAMPuF13OByqUKGCWrZsqZdffrk4cgEAAACFVqRym5OTU9w5AAAAgKtWpHI7fvx4Pf300woMDHRbfvbsWb344ot69tlniyVcSWWM+d/PWdnivwKwmsn631diX/j8BADAbopUbseNG6d+/frlKbdpaWkaN27cn77cZmRkuH5Ofn+1hUmAvDIyMhQQEGB1DAAArokinS3BGCOHw5Fn+Y4dO1S2bNmrDgUAAAAURaFGbsuUKSOHwyGHw6FatWq5Fdzs7GydPn1a/fr1K/aQJY2fn5/r59BOLeTw8bYwDXB+WkLupwgXPj8BALCbQpXbhIQEGWPUu3dvjRs3TiEhIa51fn5+qlatmm6//fZiD1nSXFj6HT7e8vIt0uwPoNhcOO87v09dAACwi0K1rh49ekiSoqKiFBMTI19f32sSCgAAACiKIg0pNm/e3PXz2bNnlZmZ6ba+VKlSV5cKAAAAKIIiHVCWlpamJ554QqGhobrhhhtUpkwZtwsAAABghSKV2+HDh2vVqlWaPn26nE6nXn/9dY0bN06VKlXS/PnzizsjAAAAUCBFmpbw6aefav78+YqNjVXv3r3VrFkz1axZU1WrVtWCBQvUvXv34s4JAAAAXFGRRm6PHz+uqKgoSefn1x4/flySdMcdd2jdunXFlw4AAAAohCKV2+rVq+vgwYOSpJtvvlnvvvuupPMjuqVLly6ubAAAAEChFKnc9urVSzt27JAkjRo1yjX39qmnntLw4cOLNSAAAABQUEWac/vUU0+5fm7RooV++OEHbd26VTVq1NAtt9xSbOEAAACAwrjqr846d+6cqlSpoipVqhRHHgAAAKDIijQtITs7W88995wiIiJ0ww036Oeff5YkjRkzRm+88UaxBgQAAAAKqkjl9oUXXtDcuXMVHx8vPz8/1/J69erp9ddfL7ZwAAAAQGEUqdzOnz9fM2fOVPfu3eXt7e1aXr9+ff3www/FFg4AAAAojCKV299++001a9bMszwnJ0eZmZlXHQoAAAAoiiKV2zp16mj9+vV5lr/33ntq0KDBVYcCAAAAiqJIZ0sYO3asHn30Uf3222/KycnR4sWLtW/fPs2fP19Lliwp7owAAABAgRRq5Pbnn3+WMUYdOnTQokWL9Pnnn8vhcOjZZ5/V3r179emnn6p169bXKisAAABwWYUauY2OjtbRo0cVGhqqtm3bavbs2dq/f7/Cw8OvVT4AAACgwAo1cmuMcbu+dOlSpaWlFWsgAAAAoKiKdEBZrovLLgAAAGClQpVbh8Mhh8ORZxkAAADgCQo159YYo549e8rpdEqSzp07p379+ikoKMhtu8WLFxdfQgAAAKCAClVue/To4Xb9kUceKdYwAAAAwNUoVLmdM2fOtcoBAAAAXLWrOqDseps4caIcDoeGDBniWmaMUVxcnCpVqqSAgADFxsZqz5491oUEAACAZUpMud2yZYtmzpyp+vXruy2Pj4/X5MmTNXXqVG3ZskXh4eFq3bq1Tp06ZVFSAAAAWKVElNvTp0+re/fumjVrlsqUKeNaboxRQkKCRo8erQcffFB169bVvHnzlJaWpoULF1qYGAAAAFYoEeV24MCBuvfee3XXXXe5LT9w4ICSkpLUpk0b1zKn06nmzZtrw4YNl9xfenq6Tp486XYBAABAyVeoA8qs8M4772jbtm3aunVrnnVJSUmSpLCwMLflYWFhOnTo0CX3OXHiRI0bN654gwIAAMByHj1ye/jwYT355JNasGCB/P39L7ndxV8kYYy57JdLjBo1Sqmpqa7L4cOHiy0zAAAArOPRI7fbtm1TcnKyGjZs6FqWnZ2tdevWaerUqdq3b5+k8yO4FStWdG2TnJycZzT3Qk6n0/VFFAAAALAPjx65bdWqlXbt2qXt27e7Lo0aNVL37t21fft2Va9eXeHh4VqxYoXrNhkZGVq7dq1iYmIsTA4AAAArePTIbXBwsOrWreu2LCgoSOXKlXMtHzJkiCZMmKDo6GhFR0drwoQJCgwMVLdu3ayIDAAAAAt5dLktiBEjRujs2bMaMGCAUlJS1LhxYy1fvlzBwcFWRwMAAMB1VuLK7Zo1a9yuOxwOxcXFKS4uzpI8AAAA8BwePecWAAAAKAzKLQAAAGyDcgsAAADboNwCAADANii3AAAAsA3KLQAAAGyDcgsAAADboNwCAADANii3AAAAsI0S9w1lAOwvI9tIyrE6RolljFFmjpEk+Xo55HA4LE5Ucp1/LgIoSSi3ADzOmE1HrY4AACihmJYAAAAA22DkFoBHcDqdmj17ttUxbCE9PV39+/eXJCUmJsrpdFqcyB54HIGSgXILwCM4HA75+/tbHcN2nE4njyuAPxWmJQAAAMA2KLcAAACwDcotAAAAbINyCwAAANug3AIAAMA2KLcAAACwDcotAAAAbINyCwAAANug3AIAAMA2KLcAAACwDcotAAAAbINyCwAAANug3AIAAMA2KLcAAACwDcotAAAAbMPH6gAAAKB4ZGdnWh2hRDPGKCc7S5Lk5e0jh8NhcaKSyernIeUWAACb2LxyrtURAMsxLQEAAAC2wcgtAAAlmNPp1OzZs62OYQvp6enq37+/JCkxMVFOp9PiRCWfFY8h5RYAgBLM4XDI39/f6hi243Q6eVxLKKYlAAAAwDYotwAAALANyi0AAABsg3ILAAAA26DcAgAAwDYotwAAALANyi0AAABsg3ILAAAA26DcAgAAwDYotwAAALANyi0AAABsg3ILAAAA26DcAgAAwDYotwAAALANyi0AAABsg3ILAAAA2/CxOoDdmaxs5VgdooQyxkjZ//foeXvJ4XBYG6gEM1nZVkcAAOC6oNxeY8nvr7Y6AgAAwJ8G0xIAAABgG4zcXgNOp1OzZ8+2OkaJl56erv79+0uSEhMT5XQ6LU5kDzyOAAA7o9xeAw6HQ/7+/lbHsBWn08ljCgAArohpCQAAALANyi0AAABsg3ILAAAA26DcAgAAwDYotwAAALANyi0AAABsg3ILAAAA26DcAgAAwDYotwAAALANyi0AAABsg3ILAAAA26DcAgAAwDYotwAAALANyi0AAABsg3ILAAAA26DcAgAAwDYotwAAALANyi0AAABsg3ILAAAA26DcAgAAwDY8utxOnDhRf/3rXxUcHKzQ0FA98MAD2rdvn9s2xhjFxcWpUqVKCggIUGxsrPbs2WNRYgAAAFjJo8vt2rVrNXDgQH3zzTdasWKFsrKy1KZNG505c8a1TXx8vCZPnqypU6dqy5YtCg8PV+vWrXXq1CkLkwMAAMAKPlYHuJxly5a5XZ8zZ45CQ0O1bds23XnnnTLGKCEhQaNHj9aDDz4oSZo3b57CwsK0cOFC9e3b14rYAAAAsIhHj9xeLDU1VZJUtmxZSdKBAweUlJSkNm3auLZxOp1q3ry5NmzYcMn9pKen6+TJk24XAAAAlHwlptwaYzR06FDdcccdqlu3riQpKSlJkhQWFua2bVhYmGtdfiZOnKiQkBDXJTIy8toFBwAAwHVTYsrtE088oZ07d+rtt9/Os87hcLhdN8bkWXahUaNGKTU11XU5fPhwsecFAADA9efRc25zDRo0SJ988onWrVunypUru5aHh4dLOj+CW7FiRdfy5OTkPKO5F3I6nXI6ndcuMAAAACzh0SO3xhg98cQTWrx4sVatWqWoqCi39VFRUQoPD9eKFStcyzIyMrR27VrFxMRc77gAAACwmEeP3A4cOFALFy7Uxx9/rODgYNc82pCQEAUEBMjhcGjIkCGaMGGCoqOjFR0drQkTJigwMFDdunWzOD0AAACuN48ut4mJiZKk2NhYt+Vz5sxRz549JUkjRozQ2bNnNWDAAKWkpKhx48Zavny5goODr3NaAAAAWM2jy60x5orbOBwOxcXFKS4u7toHAgAAgEfz6Dm3AAAAQGFQbgEAAGAblFsAAADYBuUWAAAAtkG5BQAAgG1QbgEAAGAblFsAAADYBuUWAAAAtkG5BQAAgG1QbgEAAGAblFsAAADYBuUWAAAAtkG5BQAAgG1QbgEAAGAblFsAAADYBuUWAAAAtkG5BQAAgG1QbgEAAGAblFsAAADYBuUWAAAAtkG5BQAAgG1QbgEAAGAblFsAAADYBuUWAAAAtkG5BQAAgG1QbgEAAGAblFsAAADYBuUWAAAAtkG5BQAAgG1QbgEAAGAblFsAAADYBuUWAAAAtkG5BQAAgG1QbgEAAGAblFsAAADYBuUWAAAAtkG5BQAAgG1QbgEAAGAblFsAAADYBuUWAAAAtkG5BQAAgG1QbgEAAGAblFsAAADYBuUWAAAAtkG5BQAAgG1QbgEAAGAblFsAAADYBuUWAAAAtkG5BQAAgG1QbgEAAGAblFsAAADYBuUWAAAAtkG5BQAAgG1QbgEAAGAblFsAAADYBuUWAAAAtkG5BQAAgG1QbgEAAGAblFsAAADYBuUWAAAAtkG5BQAAgG1QbgEAAGAblFsAAADYBuUWAAAAtkG5BQAAgG1QbgEAAGAblFsAAADYBuUWAAAAtkG5BQAAgG1QbgEAAGAblFsAAADYBuUWAAAAtkG5BQAAgG34WB0A1jDGKD093eoYl3VhPk/PmsvpdMrhcFgdAwA8Skl4z5FK3vsO7zn5o9z+SaWnp6t3795Wxyiw/v37Wx2hQGbPni1/f3+rYwCARylp7zlSyXjf4T0nf0xLAAAAgG3YZuR2+vTpevHFF3X06FHVqVNHCQkJatasmdWxPJbT6dTs2bOtjnFZxhhlZGRIkvz8/ErERy9Op9PqCADgcUrCe45U8t53eM/Jny3K7aJFizRkyBBNnz5dTZs21WuvvaZ77rlH33//vapUqWJ1PI/kcDhKxEcZAQEBVkcAAFylkvKeI/G+Ywe2KLeTJ09Wnz599Pjjj0uSEhIS9MUXXygxMVETJ060OB0AOykJB8ZwUAyAP7MSX24zMjK0bds2PfPMM27L27Rpow0bNuR7m/T0dLd/8E+ePHlNMwKwj5J2YAwHxQD4synxB5T98ccfys7OVlhYmNvysLAwJSUl5XubiRMnKiQkxHWJjIy8HlEBAABwjZX4kdtcF3+kZYy55Mdco0aN0tChQ13XT548ScEFUCAl4cAYDooB8GdW4stt+fLl5e3tnWeUNjk5Oc9obi6n08k/pgCKpKQcGMNBMQD+rEr8tAQ/Pz81bNhQK1ascFu+YsUKxcTEWJQKAAAAVijxI7eSNHToUD366KNq1KiRbr/9ds2cOVO//PKL+vXrZ3U0AAAAXEe2KLddunTRsWPHNH78eB09elR169bV559/rqpVq1odDQAAANeRwxhjrA5htZMnTyokJESpqakqVaqU1XEAAABwkYL2tRI/5xYAAADIRbkFAACAbVBuAQAAYBuUWwAAANgG5RYAAAC2QbkFAACAbVBuAQAAYBuUWwAAANgG5RYAAAC2QbkFAACAbVBuAQAAYBuUWwAAANgG5RYAAAC24WN1AE9gjJEknTx50uIkAAAAyE9uT8vtbZdCuZV06tQpSVJkZKTFSQAAAHA5p06dUkhIyCXXO8yV6u+fQE5Ojo4cOaLg4GA5HA6r4+ACJ0+eVGRkpA4fPqxSpUpZHQcoMXjtAEXDa8dzGWN06tQpVapUSV5el55Zy8itJC8vL1WuXNnqGLiMUqVK8Y8MUAS8doCi4bXjmS43YpuLA8oAAABgG5RbAAAA2AblFh7N6XRq7NixcjqdVkcBShReO0DR8Nop+TigDAAAALbByC0AAABsg3ILAAAA26DcAgAAwDYotwAAALANyi08Us+ePeVwOFyXcuXK6e6779bOnTutjgZ4vA0bNsjb21t333231VGAEiMpKUmDBg1S9erV5XQ6FRkZqQ4dOmjlypVWR0MhUW7hse6++24dPXpUR48e1cqVK+Xj46P27dtbHQvweLNnz9agQYP01Vdf6ZdffrE6DuDxDh48qIYNG2rVqlWKj4/Xrl27tGzZMrVo0UIDBw60Oh4KiVOBwSP17NlTJ06c0EcffeRatn79et15551KTk5WhQoVrAsHeLAzZ86oYsWK2rJli8aOHaubb75Zzz77rNWxAI/Wrl077dy5U/v27VNQUJDbuhMnTqh06dLWBEORMHKLEuH06dNasGCBatasqXLlylkdB/BYixYtUu3atVW7dm098sgjmjNnjhjDAC7t+PHjWrZsmQYOHJin2Eqi2JZAPlYHAC5lyZIluuGGGyT9bzRqyZIl8vLi/2TApbzxxht65JFHJJ2f2nP69GmtXLlSd911l8XJAM+0f/9+GWN04403Wh0FxYSWAI/VokULbd++Xdu3b9emTZvUpk0b3XPPPTp06JDV0QCPtG/fPm3evFldu3aVJPn4+KhLly6aPXu2xckAz5X7yYbD4bA4CYoLI7fwWEFBQapZs6bresOGDRUSEqJZs2bp+eeftzAZ4JneeOMNZWVlKSIiwrXMGCNfX1+lpKSoTJkyFqYDPFN0dLQcDof27t2rBx54wOo4KAaM3KLEcDgc8vLy0tmzZ62OAnicrKwszZ8/Xy+//LLrE4/t27drx44dqlq1qhYsWGB1RMAjlS1bVm3bttW0adN05syZPOtPnDhx/UPhqlBu4bHS09OVlJSkpKQk7d27V4MGDdLp06fVoUMHq6MBHmfJkiVKSUlRnz59VLduXbdLp06d9MYbb1gdEfBY06dPV3Z2tm677TZ98MEH+umnn7R37169+uqruv32262Oh0Ki3MJjLVu2TBUrVlTFihXVuHFjbdmyRe+9955iY2OtjgZ4nDfeeEN33XWXQkJC8qz729/+pu3bt+vbb7+1IBng+aKiovTtt9+qRYsWGjZsmOrWravWrVtr5cqVSkxMtDoeConz3AIAAMA2GLkFAACAbVBuAQAAYBuUWwAAANgG5RYAAAC2QbkFAACAbVBuAQAAYBuUWwAAANgG5RYAAAC2QbkFAACAbVBuAaCYJSUladCgQapevbqcTqciIyPVoUMHrVy5skC3nzt3rkqXLn1tQ14DM2fOVGxsrEqVKiWHw6ETJ05YHQnAnxDlFgCK0cGDB9WwYUOtWrVK8fHx2rVrl5YtW6YWLVpo4MCBVscrkszMzAJtl5aWprvvvlv//Oc/r3EiALg0yi0AFKMBAwbI4XBo8+bN6tSpk2rVqqU6depo6NCh+uabbyRJkydPVr169RQUFKTIyEgNGDBAp0+fliStWbNGvXr1UmpqqhwOhxwOh+Li4iRJGRkZGjFihCIiIhQUFKTGjRtrzZo1br9/1qxZioyMVGBgoDp27KjJkyfnGQVOTExUjRo15Ofnp9q1a+vNN990W+9wODRjxgzdf//9CgoK0vPPP6+aNWvqpZdecttu9+7d8vLy0n/+8x9J0pAhQ/TMM8+oSZMmxfRoAkDhUW4BoJgcP35cy5Yt08CBAxUUFJRnfW7J9PLy0quvvqrdu3dr3rx5WrVqlUaMGCFJiomJUUJCgkqVKqWjR4/q6NGjevrppyVJvXr10tdff6133nlHO3fuVOfOnXX33Xfrp59+kiR9/fXX6tevn5588klt375drVu31gsvvOCW4cMPP9STTz6pYcOGaffu3erbt6969eql1atXu203duxY3X///dq1a5d69+6t3r17a86cOW7bzJ49W82aNVONGjWK5fEDgGJhAADFYtOmTUaSWbx4caFu9+6775py5cq5rs+ZM8eEhIS4bbN//37jcDjMb7/95ra8VatWZtSoUcYYY7p06WLuvfdet/Xdu3d321dMTIz5+9//7rZN586dTbt27VzXJZkhQ4a4bXPkyBHj7e1tNm3aZIwxJiMjw1SoUMHMnTs3z/1ZvXq1kWRSUlIuf8cB4Bpg5BYAiokxRtL5j/UvZ/Xq1WrdurUiIiIUHBysxx57TMeOHdOZM2cueZtvv/1WxhjVqlVLN9xwg+uydu1a17SAffv26bbbbnO73cXX9+7dq6ZNm7ota9q0qfbu3eu2rFGjRm7XK1asqHvvvVezZ8+WJC1ZskTnzp1T586dL3tfAeB6o9wCQDGJjo6Ww+HIUxQvdOjQIbVr105169bVBx98oG3btmnatGmSLn/gVk5Ojry9vbVt2zZt377dddm7d69eeeUVSefL9cXFOrdwXyi/bS5elt+0iscff1zvvPOOzp49qzlz5qhLly4KDAy8ZGYAsALlFgCKSdmyZdW2bVtNmzYt31HYEydOaOvWrcrKytLLL7+sJk2aqFatWjpy5Ijbdn5+fsrOznZb1qBBA2VnZys5OVk1a9Z0u4SHh0uSbrzxRm3evNntdlu3bnW7ftNNN+mrr75yW7ZhwwbddNNNV7x/7dq1U1BQkBITE7V06VL17t37ircBgOuNcgsAxWj69OnKzs7Wbbfdpg8++EA//fST9u7dq1dffVW33367atSooaysLE2ZMkU///yz3nzzTc2YMcNtH9WqVdPp06e1cuVK/fHHH0pLS1OtWrXUvXt3PfbYY1q8eLEOHDigLVu2aNKkSfr8888lSYMGDdLnn3+uyZMn66efftJrr72mpUuXuo3KDh8+XHPnztWMGTP0008/afLkyVq8eLHroLXL8fb2Vs+ePTVq1CjVrFlTt99+u9v6pKQkbd++Xfv375ck7dq1S9u3b9fx48ev9mEFgIKzdMYvANjQkSNHzMCBA03VqlWNn5+fiYiIMPfdd59ZvXq1McaYyZMnm4oVK5qAgADTtm1bM3/+/DwHYPXr18+UK1fOSDJjx441xpw/iOvZZ5811apVM76+viY8PNx07NjR7Ny503W7mTNnmoiICBMQEGAeeOAB8/zzz5vw8HC3fNOnTzfVq1c3vr6+platWmb+/Plu6yWZDz/8MN/79p///MdIMvHx8XnWjR071kjKc5kzZ06hH0MAKCqHMflMyAIA2MLf//53/fDDD1q/fn2x7O/rr79WbGysfv31V4WFhRXLPgGgOPlYHQAAUHxeeukltW7dWkFBQVq6dKnmzZun6dOnX/V+09PTdfjwYY0ZM0YPPfQQxRaAx2LOLQDYyObNm9W6dWvVq1dPM2bM0KuvvqrHH3/8qvf79ttvq3bt2kpNTVV8fHwxJAWAa4NpCQAAALANRm4BAABgG5RbAAAA2AblFgAAALZBuQUAAIBtUG4BAABgG5RbAAAA2AblFgAAALZBuQUAAIBt/H/2xXwyvH4RvQAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Box plot for Category1 and Feature3\n", + "plt.figure(figsize=(8, 6))\n", + "sns.boxplot(x='Category1', y='Feature3', data=data, palette='Set2')\n", + "plt.title('Box Plot of Feature3 by Category1')\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "id": "880b0521", + "metadata": {}, + "source": [ + "### 2. Pair Plot (Multivariate Relationships)\n", + "\n", + "**Description**: \n", + "A **pair plot** visualizes pairwise relationships between multiple numeric variables by plotting **scatter plots** for each pair and **histograms** for individual variables.\n", + "\n", + "**Purpose**: \n", + "To explore relationships and correlations between numeric features.\n", + "\n", + "**Data**: \n", + "Pairwise relationships between `Feature1`, `Feature2`, `Feature3`, and `Feature5`.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "7ce4ea53", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Pairplot for several numeric features\n", + "sns.pairplot(data[['Feature1', 'Feature2', 'Feature3', 'Feature5']], diag_kind='kde', corner=True)\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "id": "0a17d15f", + "metadata": {}, + "source": [ + "### 3. Heatmap (Correlation Matrix)\n", + "\n", + "**Description**: \n", + "A **heatmap** of the correlation matrix shows the **correlation coefficients** between multiple numeric variables. The values range from **-1** (strong negative correlation) to **1** (strong positive correlation), and the **color intensity** indicates the strength of the correlation.\n", + "\n", + "**Purpose**: \n", + "To understand the linear relationships between multiple numeric variables.\n", + "\n", + "**Data**: \n", + "Correlations between `Feature1`, `Feature2`, `Feature3`, `Feature5`, and `Feature6`.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "13d0584a", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Correlation matrix and heatmap\n", + "plt.figure(figsize=(10, 8))\n", + "correlation_matrix = data[['Feature1', 'Feature2', 'Feature3', 'Feature5', 'Feature6']].corr()\n", + "sns.heatmap(correlation_matrix, annot=True, cmap='coolwarm')\n", + "plt.title('Correlation Matrix Heatmap')\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "id": "6be84541", + "metadata": {}, + "source": [ + "# ***Advanced Visualizations***" + ] + }, + { + "cell_type": "markdown", + "id": "8941f4cb", + "metadata": {}, + "source": [ + "### 1. Violin Plot (Distribution and Density by Category)\n", + "\n", + "**Description**: \n", + "A **violin plot** shows the **distribution** and **density** of a numeric variable across categories. It combines a **box plot** and a **KDE** to visualize the distribution shape for each category.\n", + "\n", + "**Purpose**: \n", + "To compare the distribution of a numeric variable across different categories.\n", + "\n", + "**Data**: \n", + "Distribution of `Feature5` for categories in `Category2`.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "aa1abb58", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Violin plot for Category2 and Feature5\n", + "plt.figure(figsize=(8, 6))\n", + "sns.violinplot(x='Category2', y='Feature5', data=data, palette='muted', inner='quartile')\n", + "plt.title('Violin Plot of Feature5 by Category2')\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "id": "934d9c63", + "metadata": {}, + "source": [ + "### 2. FacetGrid (Categorical vs Multiple Features)\n", + "\n", + "**Description**: \n", + "A **FacetGrid** allows you to plot multiple **subplots** based on a categorical variable, facilitating comparison of relationships between numeric features across different categories.\n", + "\n", + "**Purpose**: \n", + "To compare relationships across categories.\n", + "\n", + "**Data**: \n", + "Relationship between `Feature1` and `Feature2` for each category in `Category2`.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "768005a0", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# FacetGrid for Category2 vs Feature1 and Feature2\n", + "g = sns.FacetGrid(data, col='Category2', height=5)\n", + "g.map(sns.scatterplot, 'Feature1', 'Feature2', alpha=.8)\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "id": "f924b33c", + "metadata": {}, + "source": [ + "### 3. Joint Plot (Two Variables with Regression)\n", + "\n", + "**Description**: \n", + "A **joint plot** combines a **scatter plot** with **histograms** for two numeric variables, and it can also show a **regression line** to indicate linear relationships.\n", + "\n", + "**Purpose**: \n", + "To show the relationship between two variables along with their distributions.\n", + "\n", + "**Data**: \n", + "Relationship between `Feature1` and `Feature2`.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "8c751bc4", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Joint plot with regression line for Feature1 and Feature2\n", + "sns.jointplot(x='Feature1', y='Feature2', data=data, kind='reg', height=8, color='g')\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "id": "cc68c65f", + "metadata": {}, + "source": [ + "### 4. Time Series Plot (Date vs Numeric)\n", + "\n", + "**Description**: \n", + "A **time series plot** visualizes how a numeric variable changes over time, with the **x-axis** representing time and the **y-axis** representing the numeric values.\n", + "\n", + "**Purpose**: \n", + "To observe trends or patterns over time.\n", + "\n", + "**Data**: \n", + "Time series of `Feature4` over dates in the `Date` column.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "eb967957", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Time series plot for Date and Feature4\n", + "plt.figure(figsize=(10, 6))\n", + "sns.lineplot(x='Date', y='Feature4', data=data, marker='o')\n", + "plt.title('Time Series of Feature4 over Dates')\n", + "plt.xticks(rotation=45)\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "id": "0c2ff934", + "metadata": {}, + "source": [ + "# ***Advanced Multi-Dimensional Visualization***" + ] + }, + { + "cell_type": "markdown", + "id": "a2116dd4", + "metadata": {}, + "source": [ + "### 1. Clustered Heatmap\n", + "\n", + "**Description**: \n", + "A **clustered heatmap** groups similar variables together and visualizes the **correlations** between them. It uses **hierarchical clustering** to group similar variables and show their relationships.\n", + "\n", + "**Purpose**: \n", + "To identify patterns and relationships between features using clustering.\n", + "\n", + "**Data**: \n", + "Clustered correlation matrix of features.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "cb2a8c55", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from scipy.cluster import hierarchy\n", + "from scipy.spatial.distance import pdist\n", + "\n", + "# Clustered heatmap of features\n", + "plt.figure(figsize=(12, 10))\n", + "sns.clustermap(correlation_matrix, annot=True, cmap='viridis', metric='euclidean')\n", + "plt.title('Clustered Heatmap of Correlations')\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "id": "4ba7539d", + "metadata": {}, + "source": [ + "Summary\n", + "Beginner: Histograms, bar plots, and simple comparisons.\n", + "Intermediate: Pair plots, box plots, and correlation heatmaps.\n", + "Advanced: Violin plots, facet grids, joint plots, and time series.\n", + "These steps guide you from basic data visualizations to more advanced, multi-dimensional techniques using seaborn and matplotlib.\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "45fb9982", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.13" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} From f400b222540bf93eac26039cc934a7aaf0dbb9a2 Mon Sep 17 00:00:00 2001 From: charvi arora <107393948+Charvi-14@users.noreply.github.com> Date: Thu, 3 Oct 2024 20:16:18 +0530 Subject: [PATCH 2/4] Readme.md --- DataVizLearnig/Readme.md | 57 ++++++++++++++++++++++++++++++++++++++++ 1 file changed, 57 insertions(+) create mode 100644 DataVizLearnig/Readme.md diff --git a/DataVizLearnig/Readme.md b/DataVizLearnig/Readme.md new file mode 100644 index 0000000000..fc665c588c --- /dev/null +++ b/DataVizLearnig/Readme.md @@ -0,0 +1,57 @@ +# Data Visualization Project + +## Overview +This project demonstrates various data visualization techniques using **Seaborn** and **Matplotlib** in Python. The objective is to analyze and visualize a sample dataset containing multiple numeric and categorical features, showcasing how different visualizations can provide insights into data distributions, relationships, and trends. + +## Sample Data +The dataset consists of 10 features, including both numeric and categorical variables. The numeric features represent various measurements, while the categorical features group the data into meaningful categories for comparative analysis. + +## Visualizations +This project features a range of visualizations designed to aid in data exploration and analysis, organized from least to most complex: + +- **Histogram**: + Provides a graphical representation of the distribution of a single variable. It displays the frequency of observations in bins and includes a Kernel Density Estimate (KDE) to illustrate data distribution. This is useful for understanding how data is spread, such as determining if it's normally distributed or skewed. + +- **Bar Plot**: + Displays the mean of a numeric variable across different categories. This plot allows for a straightforward comparison of how different categories impact the numeric outcome, making it easy to identify significant differences. + +- **Box Plot**: + Summarizes the distribution of a numeric variable for each category. It shows the median, quartiles, and potential outliers, facilitating the visualization of data spread and the identification of anomalies. + +- **Violin Plot**: + Combines a box plot with a Kernel Density Estimate (KDE) to visualize the distribution and density of a numeric variable across categories. This provides a deeper understanding of the distribution shape for each category. + +- **Heatmap**: + Displays a correlation matrix between numeric features using color intensity to indicate linear relationships. This visualization helps identify which features are correlated, providing insights into feature relationships. + +- **Joint Plot**: + Combines scatter plots and histograms to show the relationship between two numeric variables, along with their distributions. This helps visualize both the correlation and the individual feature distributions simultaneously. + +- **Pair Plot**: + Creates scatter plots for each pair of numeric variables while showing histograms along the diagonal. This facilitates the exploration of relationships and correlations among multiple features at a glance. + +- **FacetGrid**: + Allows for the comparison of relationships between numeric features across different categories by creating multiple subplots. Each facet provides a visual representation of how two features relate within a specific category. + +- **Time Series Plot**: + Visualizes how a numeric variable changes over time, highlighting trends, seasonal patterns, and any anomalies. This is particularly useful for time-dependent data analysis. + +- **Clustered Heatmap**: + Groups similar variables together and visualizes their correlations using hierarchical clustering. This advanced visualization helps uncover patterns and relationships among features based on their similarities. + +These visualizations collectively enable a comprehensive exploration of the dataset, assisting users in deriving insights and making data-driven decisions. + + +## Conclusion +This project serves as a comprehensive exploration of data visualization techniques using Seaborn and Matplotlib. Each visualization offers unique insights into the data, making it easier to analyze relationships, distributions, and trends effectively. By leveraging these tools, one can enhance their data analysis capabilities and communicate findings more effectively. + +## Requirements +To run the project, ensure you have the following Python libraries installed: +- `pandas` +- `numpy` +- `matplotlib` +- `seaborn` + +## Usage +Feel free to adjust the instructions further if you have specific usage scenarios in mind! + From e12dbfc952a1a308da060e6e599d2c34f1205b3c Mon Sep 17 00:00:00 2001 From: charvi arora <107393948+Charvi-14@users.noreply.github.com> Date: Thu, 3 Oct 2024 20:18:18 +0530 Subject: [PATCH 3/4] Readme.md --- DataVizLearnig/Readme.md | 31 +++++++++++++++---------------- 1 file changed, 15 insertions(+), 16 deletions(-) diff --git a/DataVizLearnig/Readme.md b/DataVizLearnig/Readme.md index fc665c588c..cbc2175ae6 100644 --- a/DataVizLearnig/Readme.md +++ b/DataVizLearnig/Readme.md @@ -1,49 +1,48 @@ # Data Visualization Project ## Overview -This project demonstrates various data visualization techniques using **Seaborn** and **Matplotlib** in Python. The objective is to analyze and visualize a sample dataset containing multiple numeric and categorical features, showcasing how different visualizations can provide insights into data distributions, relationships, and trends. +Welcome to the **Data Visualization Project**! In this project, we harness the power of **Seaborn** and **Matplotlib** to create stunning visualizations that illuminate data. Our mission is to analyze and visualize a sample dataset filled with numeric and categorical features, revealing hidden insights and patterns that can guide decision-making. ## Sample Data -The dataset consists of 10 features, including both numeric and categorical variables. The numeric features represent various measurements, while the categorical features group the data into meaningful categories for comparative analysis. +Our dataset is a delightful mix of 10 features, combining both numeric and categorical variables. The numeric features represent various measurements, while the categorical features group the data into meaningful categories for comparative analysis. ## Visualizations -This project features a range of visualizations designed to aid in data exploration and analysis, organized from least to most complex: +Explore a variety of visualizations, organized from the simplest to the most complex: - **Histogram**: - Provides a graphical representation of the distribution of a single variable. It displays the frequency of observations in bins and includes a Kernel Density Estimate (KDE) to illustrate data distribution. This is useful for understanding how data is spread, such as determining if it's normally distributed or skewed. + Visualizes the distribution of a single variable by displaying the frequency of observations in bins. A Kernel Density Estimate (KDE) is included to show how the data is spread, helping you identify if it follows a normal distribution or is skewed. - **Bar Plot**: - Displays the mean of a numeric variable across different categories. This plot allows for a straightforward comparison of how different categories impact the numeric outcome, making it easy to identify significant differences. + Shows the mean of a numeric variable across different categories, making it easy to compare how different categories influence the numeric outcome. This visualization helps spot significant differences. - **Box Plot**: - Summarizes the distribution of a numeric variable for each category. It shows the median, quartiles, and potential outliers, facilitating the visualization of data spread and the identification of anomalies. + Summarizes the distribution of a numeric variable for each category, displaying the median, quartiles, and potential outliers. It aids in quickly identifying data spread and anomalies. - **Violin Plot**: - Combines a box plot with a Kernel Density Estimate (KDE) to visualize the distribution and density of a numeric variable across categories. This provides a deeper understanding of the distribution shape for each category. + Combines a box plot with a Kernel Density Estimate (KDE) to illustrate the distribution and density of a numeric variable across categories, offering deeper insights into the distribution shapes. - **Heatmap**: - Displays a correlation matrix between numeric features using color intensity to indicate linear relationships. This visualization helps identify which features are correlated, providing insights into feature relationships. + Displays a correlation matrix between numeric features using color intensity to indicate linear relationships. This visualization helps identify which features are correlated and understand their relationships. - **Joint Plot**: - Combines scatter plots and histograms to show the relationship between two numeric variables, along with their distributions. This helps visualize both the correlation and the individual feature distributions simultaneously. + Merges scatter plots with histograms to reveal the relationship between two numeric variables, alongside their distributions. This combination allows for a clear view of correlation and individual feature distributions. - **Pair Plot**: - Creates scatter plots for each pair of numeric variables while showing histograms along the diagonal. This facilitates the exploration of relationships and correlations among multiple features at a glance. + Creates scatter plots for each pair of numeric variables, with histograms along the diagonal. This visualization facilitates the exploration of relationships and correlations among multiple features at a glance. - **FacetGrid**: - Allows for the comparison of relationships between numeric features across different categories by creating multiple subplots. Each facet provides a visual representation of how two features relate within a specific category. + Compares relationships between numeric features across different categories by creating multiple subplots. Each facet provides a visual representation of how two features relate within a specific category. - **Time Series Plot**: - Visualizes how a numeric variable changes over time, highlighting trends, seasonal patterns, and any anomalies. This is particularly useful for time-dependent data analysis. + Visualizes changes in a numeric variable over time, highlighting trends, seasonal patterns, and any anomalies. This is ideal for analyzing time-dependent data. - **Clustered Heatmap**: Groups similar variables together and visualizes their correlations using hierarchical clustering. This advanced visualization helps uncover patterns and relationships among features based on their similarities. -These visualizations collectively enable a comprehensive exploration of the dataset, assisting users in deriving insights and making data-driven decisions. - +These visualizations collectively enable a comprehensive exploration of the dataset, assisting in deriving insights and making data-driven decisions. ## Conclusion -This project serves as a comprehensive exploration of data visualization techniques using Seaborn and Matplotlib. Each visualization offers unique insights into the data, making it easier to analyze relationships, distributions, and trends effectively. By leveraging these tools, one can enhance their data analysis capabilities and communicate findings more effectively. +This project serves as a robust exploration of data visualization techniques using Seaborn and Matplotlib. Each visualization offers unique insights into the data, making it easier to analyze relationships, distributions, and trends effectively. By leveraging these tools, you can enhance your data analysis capabilities and communicate findings with clarity. ## Requirements To run the project, ensure you have the following Python libraries installed: @@ -53,5 +52,5 @@ To run the project, ensure you have the following Python libraries installed: - `seaborn` ## Usage -Feel free to adjust the instructions further if you have specific usage scenarios in mind! +Feel free to adapt the instructions to suit your specific usage scenarios! Dive in, explore, and enjoy visualizing your data! From a4acf366e9ec130914b52749e9f476c8a6a5326e Mon Sep 17 00:00:00 2001 From: charvi arora <107393948+Charvi-14@users.noreply.github.com> Date: Fri, 4 Oct 2024 13:43:06 +0530 Subject: [PATCH 4/4] README.md --- README.md | 4 ++++ 1 file changed, 4 insertions(+) diff --git a/README.md b/README.md index 8f6ceb4f19..818dd31ae2 100644 --- a/README.md +++ b/README.md @@ -53,6 +53,7 @@ Our vision is to build a vibrant community and resource hub for Python enthusias - **Cybersecurity** - **Blockchain Development** - **Algorithms and Data Structures** +- **Data Visualization** The purpose of PyVerse is to provide a structured and accessible way for developers to explore existing projects, contribute new ones, and enhance their skills through practical, hands-on experience. @@ -112,6 +113,9 @@ The PyVerse repository is organized as follows: ├── CODE_OF_CONDUCT.md ├── CONTRIBUTING.md ├── Cybersecurity_Tools +├── DataVizLearning +│ ├── DataViz_Snippets.ipynb +│ └── README.md ├── Data_Science │ └── Data-science.md ├── Deep_Learning