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     "text": [
      "14.113000000000007\n",
      "4.3123695342584\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "Liste= 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, 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",
    "])\n",
    "#print(A)\n",
    "#min(A)#max(A)\n",
    "#def somme(Liste):\n",
    "    #\"\"\"Calcul la somme des éléments d'une liste\"\"\"\n",
    "    #total = 0\n",
    "   # for nombre in Liste:\n",
    "  #      total += nombre\n",
    " #       Liste= 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, 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",
    "#])\n",
    " #   return total\n",
    "#print(somme(Liste))\n",
    "#def moyenne_arithmetique(Liste):\n",
    "    #\"\"\"Calcul la moyenne arithmétique des éléments d'une liste\"\"\"\n",
    "    #Liste= 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, 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",
    "#])\n",
    "    #return (1/len(Liste)) * sum(Liste)\n",
    "#print(moyenne_arithmetique(Liste))\n",
    "\n",
    "\n",
    "from math import *\n",
    "\n",
    "\n",
    "\n",
    "def moyenne(Liste):\n",
    "    return (1/len(Liste)) * sum(Liste)\n",
    "\n",
    "\n",
    "print(moyenne(Liste))\n",
    "def variance(Liste):\n",
    "    moy = moyenne(Liste)\n",
    "    var = 0\n",
    "\n",
    "    for nb in Liste:\n",
    "        var += (nb - moy)**2\n",
    "\n",
    "    return var / len(Liste)\n",
    "#print(variance(Liste))\n",
    "\n",
    "def ecart_type(Liste):\n",
    "    moy = moyenne(Liste)\n",
    "    var = 0\n",
    "    for nb in Liste:\n",
    "        var += (nb - moy)**2\n",
    "\n",
    "    return sqrt(var/len(Liste))\n",
    "print(ecart_type(Liste))\n",
    "\n",
    "def median(Liste):\n",
    "    quotient, remainder = divmod(len(Liste), 2)\n",
    "    if remainder:\n",
    "        return sorted(Liste)[quotient]\n",
    "    return sum(sorted(Liste)[quotient - 1:quotient + 1]) / 2.\n",
    "#print(median(Liste))"
   ]
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