ExpectedValue.ipynb

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   "cell_type": "code",
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   "source": [
    "values = [1]*10 + [5]*1000 + [10000]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Median"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
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    {
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       "5"
      ]
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     "execution_count": 9,
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   "source": [
    "median = values[len(values)//2]\n",
    "median"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Mode"
   ]
  },
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   "cell_type": "code",
   "execution_count": 3,
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   "outputs": [
    {
     "data": {
      "text/plain": [
       "Counter({1: 10, 5: 1000, 10000: 1})"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import collections\n",
    "counts = collections.Counter(values)\n",
    "counts"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
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     "data": {
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     "execution_count": 7,
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   "source": [
    "mode = counts.most_common()[0][0]\n",
    "mode"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Mean/average"
   ]
  },
  {
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   "execution_count": 2,
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   "outputs": [
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       "14.846686449060336"
      ]
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     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
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   ],
   "source": [
    "average = sum(values) / len(values)\n",
    "average"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Expected Value\n",
    "\n",
    "The Expected Value is the same as the Mean, but I'm calculating it in a probabilistic way to show they are the same"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
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   "outputs": [
    {
     "data": {
      "text/plain": [
       "14.846686449060336"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "expected_value = 1 * (10/len(values)) + 5 * (1000/len(values)) + 10000 * (1/len(values))\n",
    "expected_value"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
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