From 17ba4c41e5b7e9dfd878359620b36daad006276d Mon Sep 17 00:00:00 2001 From: 7a95d5cd23fe5b30abaa93f47a1c5f63 <7a95d5cd23fe5b30abaa93f47a1c5f63@app-learninglab.inria.fr> Date: Sat, 4 Jan 2025 17:11:49 +0000 Subject: [PATCH] Solution to Exercise 02-3 --- module2/exo3/exercice.ipynb | 103 ++++++++++++++++++++++++++++++++++-- 1 file changed, 100 insertions(+), 3 deletions(-) diff --git a/module2/exo3/exercice.ipynb b/module2/exo3/exercice.ipynb index 0bbbe37..8284d9a 100644 --- a/module2/exo3/exercice.ipynb +++ b/module2/exo3/exercice.ipynb @@ -1,5 +1,103 @@ { - "cells": [], + "cells": [ + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "%matplotlib inline\n", + "import matplotlib.pyplot as plt\n", + "\n", + "arr = np.array([14.0, 7.6, 11.2, 12.8, 12.5, 9.9, 14.9, 9.4, 16.9, 10.2, 14.9, 18.1, \n", + " 7.3, 9.8, 10.9,12.2, 9.9, 2.9, 2.8, 15.4, 15.7, 9.7, 13.1, 13.2, 12.3, \n", + " 11.7, 16.0, 12.4, 17.9, 12.2, 16.2, 18.7, 8.9, 11.9, 12.1, 14.6, 12.1, \n", + " 4.7, 3.9, 16.9, 16.8, 11.3, 14.4, 15.7, 14.0, 13.6, 18.0, 13.6, 19.9, \n", + " 13.7, 17.0, 20.5, 9.9, 12.5, 13.2, 16.1, 13.5, 6.3, 6.4, 17.6, 19.1, \n", + " 12.8, 15.5, 16.3, 15.2, 14.6, 19.1, 14.4, 21.4, 15.1, 19.6, 21.7, \n", + " 11.3, 15.0, 14.3, 16.8, 14.0, 6.8, 8.2, 19.9, 20.4, 14.6, 16.4, \n", + " 18.7, 16.8, 15.8, 20.4, 15.8, 22.4, 16.2, 20.3, 23.4, 12.1, 15.5, \n", + " 15.4, 18.4, 15.7, 10.2, 8.9, 21.0])\n" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "\n", + "# Plot the histogram\n", + "plt.hist(arr, bins='auto', color='blue', edgecolor='black', alpha=0.7)\n", + "\n", + "# Customize the plot (optional)\n", + "plt.xlabel('Values')\n", + "plt.ylabel('Frequency')\n", + "plt.title('Histogram of Data')\n", + "plt.grid(True)\n", + "# Show the plot\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Create x-axis values (you can adjust these as needed)\n", + "x = np.arange(len(arr)) \n", + "\n", + "# Plot the line graph\n", + "plt.plot(x, arr, linestyle='-', color='b')\n", + "\n", + "# Customize the plot (optional)\n", + "plt.xlabel('Index')\n", + "plt.ylabel('Values')\n", + "plt.title('Line Graph of Data')\n", + "\n", + "# Add grid\n", + "plt.grid(True)\n", + "\n", + "# Show the plot\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], "metadata": { "kernelspec": { "display_name": "Python 3", @@ -16,10 +114,9 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.3" + "version": "3.6.4" } }, "nbformat": 4, "nbformat_minor": 2 } - -- 2.18.1