median.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Import Packages"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import statistics\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Sample Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "data = [1,2,4,5,6,76,8,45]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Using Formula without Python Packages\n",
    "\n",
    "If number of elements = odd -------> n/2\n",
    "\n",
    "If number of elements = even ------> (n+1)/2\n",
    "\n",
    "We can't use the (n+1)/2 exactly in coding. Because finding the position using float values gets error.\n",
    "So, I am slightly changing the formula for Even.\n",
    "\n",
    "m1 = (n/2)th position\n",
    "\n",
    "m2 = ((n/2) - 1) th position\n",
    "\n",
    "Median = (m1 + m2)/2\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Sorted Data: [1, 2, 4, 5, 6, 8, 45, 76]\n",
      "Position of the data: 4 and 3\n",
      "Values in the Position: 6 and 5\n",
      "Median: 5.5\n"
     ]
    }
   ],
   "source": [
    "sorted_data_median = sorted(data)\n",
    "\n",
    "print(\"Sorted Data:\", sorted_data_median)\n",
    "\n",
    "m1 = int(len(sorted_data_median)/ 2)\n",
    "m2 = int((m1 - 1))\n",
    "\n",
    "print(f\"Position of the data: {m1} and {m2}\")\n",
    "print(f\"Values in the Position: {sorted_data_median[m1]} and {sorted_data_median[m2]}\")\n",
    "\n",
    "median = (sorted_data_median[m1] + sorted_data_median[m2])/2\n",
    "\n",
    "print(\"Median:\",  median)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Using numpy package"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "5.5\n"
     ]
    }
   ],
   "source": [
    "print(np.median(data))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Using Statistics package"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "5.5\n"
     ]
    }
   ],
   "source": [
    "print(statistics.median(data))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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median notebook file