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732afbed1f51733fba4ec4ed0e9bd727
mooc-rr
Commits
95872e0e
Commit
95872e0e
authored
Oct 06, 2023
by
732afbed1f51733fba4ec4ed0e9bd727
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module2/exo3/exercice.ipynb
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exercice.ipynb
module2/exo3/exercice.ipynb
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module2/exo3/exercice.ipynb
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95872e0e
{
"cells": [],
"cells": [
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"donnees = [14.0, 7.6, 11.2, 12.8, 12.5, 9.9, 14.9, 9.4, 16.9, 10.2, 14.9, 18.1, 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, 11.7, 16.0, 12.4, 17.9, 12.2, 16.2, 18.7, 8.9, 11.9, 12.1, 14.6, 12.1, 4.7, 3.9, 16.9, 16.8, 11.3, 14.4, 15.7, 14.0, 13.6, 18.0, 13.6, 19.9, 13.7, 17.0, 20.5, 9.9, 12.5, 13.2, 16.1, 13.5, 6.3, 6.4, 17.6, 19.1, 12.8, 15.5, 16.3, 15.2, 14.6, 19.1, 14.4, 21.4, 15.1, 19.6, 21.7, 11.3, 15.0, 14.3, 16.8, 14.0, 6.8, 8.2, 19.9, 20.4, 14.6, 16.4, 18.7, 16.8, 15.8, 20.4, 15.8, 22.4, 16.2, 20.3, 23.4, 12.1, 15.5, 15.4, 18.4, 15.7, 10.2, 8.9, 21.0]\n",
"moyenne = np.mean(donnees)\n",
"ecart_type = np.std(donnees, ddof=1)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 864x432 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(12, 6))\n",
"\n",
"plt.subplot(1, 2, 1)\n",
"plt.plot(donnees, linestyle='-')\n",
"plt.title('Graphique de Séquence')\n",
"plt.xlabel('Index')\n",
"plt.ylabel('Valeur')\n",
"\n",
"plt.subplot(1, 2, 2)\n",
"plt.hist(donnees, bins=10, edgecolor='black')\n",
"plt.title('Histogramme')\n",
"plt.xlabel('Valeur')\n",
"plt.ylabel('Fréquence')\n",
"\n",
"plt.tight_layout()\n",
"plt.show()\n"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
...
...
@@ -16,10 +75,9 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.
3
"
"version": "3.6.
4
"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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