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b887a1da49c86af48bb374d792d44dfb
mooc-rr
Commits
2575dfb5
Commit
2575dfb5
authored
Jun 17, 2025
by
b887a1da49c86af48bb374d792d44dfb
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ebc08047
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exercice.ipynb
module2/exo3/exercice.ipynb
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module2/exo3/exercice.ipynb
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2575dfb5
{
"cells": [],
"cells": [
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"data = np.array([\n",
" 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,\n",
" 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,\n",
" 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,\n",
" 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,\n",
" 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,\n",
" 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,\n",
" 16.2, 20.3, 23.4, 12.1, 15.5, 15.4, 18.4, 15.7, 10.2, 8.9, 21.0\n",
"])\n",
"\n",
"plt.figure(figsize=(10, 4))\n",
"plt.plot(data, color='blue', linestyle='-')\n",
"plt.grid(True,linestyle='--')\n",
"plt.show()\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(8, 4))\n",
"plt.hist(data, color='blue', edgecolor='black')\n",
"plt.grid(True,linestyle='--')\n",
"plt.show()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
...
...
@@ -16,10 +81,9 @@
"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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