{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Function to test quartiles"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "def count_of_less(values, q):\n",
    "    \"\"\" \n",
    "    Return the count of values less than quartile value q.\n",
    "    @param values the list of values.\n",
    "    @param q the quartile value.\n",
    "    @return the count.\n",
    "    \"\"\"\n",
    "    \n",
    "    count = 0;\n",
    "    \n",
    "    for v in values:\n",
    "        if (v < q):\n",
    "            count += 1\n",
    "            \n",
    "    return count"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Some random values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "import random\n",
    "\n",
    "x_list  = [int(random.uniform(0, 1000)) for _ in range(0, 100)]\n",
    "count = len(x_list)\n",
    "\n",
    "print(f'{count} data values')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## First quartile"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "q1 = np.percentile(x_list, 25)\n",
    "print(f'Q1 = np.percentile(x_list, 25) = {q1:.2f}')\n",
    "\n",
    "q1_under = count_of_less(x_list, q1)\n",
    "print(f'count of values less than Q1: {q1_under}')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Second quartile"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "q2 = np.percentile(x_list, 50)\n",
    "print(f'Q2 = np.percentile(x_list, 50) = {q2:.2f}')\n",
    "\n",
    "list_median = np.median(x_list)\n",
    "print(f'np.median(x_list) = {list_median}')\n",
    "\n",
    "q2_under = count_of_less(x_list, q2)\n",
    "print(f'count of values less than Q2: {q2_under}')\n",
    "\n",
    "list_median = np.median(x_list)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Third quartile"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "q3 = np.percentile(x_list, 75)\n",
    "print(f'Q3 = np.percentile(x_list, 75) = {q3:.2f}')\n",
    "\n",
    "q3_under = count_of_less(x_list, q3)\n",
    "print(f'count of values less than Q3: {q3_under}')"
   ]
  }
 ],
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