Statistics_and_Probability/Statistics_and_Probability.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Statistics \n",
    "\n",
    "\n",
    "Data, consists of a collection of pieces of information about things you want to study. Statistics is based on data. Statistics studies methodologies to gather, review, analyze and draw conclusions from data. \n",
    "\n",
    "Now this information can take the form of descriptions, quantities, measurements, and other observations. Data is said to be new oil. specifically in the field of Digital technologies working with data is one of the primart things you will do. Suppose for example, we collected some information about students taking this course, such as their student ID, name, age, gender, their level of experience with the subject, the number of previous courses they've taken, the time span and activities in this course, and their grade for the course. Some of these data are categorical, or qualitative. \n",
    "\n",
    "In other words, they describe the characteristics of the students. Now often qualitative data fields are text based, but numeric fields can also be categorical. For example, student ID is a numeric identifier for each student. \n",
    "\n",
    "Mean is the average of a data set. Median is the value that lies at the center. In case there even number of elements in a data set, the median is the average of the two values that lie in the center. The mode is the value with the highest frequency in a data set. Outliers are abnormal elements of a data set that lie very far from the rest of the elements in the same set.\n",
    "\n",
    "Lets watch this video to understand more. \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/html": [
       "\n",
       "        <iframe\n",
       "            width=\"860\"\n",
       "            height=\"460\"\n",
       "            src=\"https://www.youtube.com/embed/1JYGdI58xuU\"\n",
       "            frameborder=\"0\"\n",
       "            allowfullscreen\n",
       "        ></iframe>\n",
       "        "
      ],
      "text/plain": [
       "<IPython.lib.display.YouTubeVideo at 0x2e6ae084e48>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from IPython.display import YouTubeVideo\n",
    "YouTubeVideo('1JYGdI58xuU', width=860, height=460)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(150, 4)\n"
     ]
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd\n",
    "from sklearn.datasets import load_iris \n",
    "iris = load_iris() \n",
    "\n",
    "print(iris.data.shape)\n",
    "\n",
    "iris = pd.DataFrame(iris.data)\n",
    "iris.columns = ['Sepal_Length', \"Sepal_Width\", \"Petal_Length\", \"Petal_Width\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "   Sepal_Length  Sepal_Width  Petal_Length  Petal_Width\n",
      "0           5.1          3.5           1.4          0.2\n",
      "1           4.9          3.0           1.4          0.2\n",
      "2           4.7          3.2           1.3          0.2\n",
      "3           4.6          3.1           1.5          0.2\n",
      "4           5.0          3.6           1.4          0.2\n"
     ]
    }
   ],
   "source": [
    "print(iris.head())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "       Sepal_Length  Sepal_Width  Petal_Length  Petal_Width\n",
      "count    150.000000   150.000000    150.000000   150.000000\n",
      "mean       5.843333     3.057333      3.758000     1.199333\n",
      "std        0.828066     0.435866      1.765298     0.762238\n",
      "min        4.300000     2.000000      1.000000     0.100000\n",
      "25%        5.100000     2.800000      1.600000     0.300000\n",
      "50%        5.800000     3.000000      4.350000     1.300000\n",
      "75%        6.400000     3.300000      5.100000     1.800000\n",
      "max        7.900000     4.400000      6.900000     2.500000\n"
     ]
    }
   ],
   "source": [
    "print(iris.describe())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Visualizing Data\n",
    "\n",
    "There are lot of python libraries that you can use to visualize the data. We had used Mathplotlib to extensively generate the plots in our previous exercices. Following are few more of them :\n",
    "\n",
    "- Matplotlib: low level, provides lots of freedom\n",
    "\n",
    "- Pandas Visualization: easy to use interface, built on Matplotlib\n",
    "\n",
    "- Seaborn: high-level interface, great default styles\n",
    "\n",
    "- ggplot: based on R’s ggplot2, uses Grammar of Graphics\n",
    "\n",
    "- Plotly: can create interactive plots\n",
    "\n",
    "We can plot the dataset used before to plot it using matplot lib. \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/html": [
       "\n",
       "        <iframe\n",
       "            width=\"860\"\n",
       "            height=\"460\"\n",
       "            src=\"https://www.youtube.com/embed/1etMjhxH_e8\"\n",
       "            frameborder=\"0\"\n",
       "            allowfullscreen\n",
       "        ></iframe>\n",
       "        "
      ],
      "text/plain": [
       "<IPython.lib.display.YouTubeVideo at 0x2e6a3fe68c8>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "YouTubeVideo('1etMjhxH_e8', width=860, height=460)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x504 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = (10, 7)) \n",
    "x = iris.Sepal_Width \n",
    "  \n",
    "plt.hist(x, bins = 20, color = \"blue\") \n",
    "plt.title(\"Sepal Width in cm\") \n",
    "plt.xlabel(\"Sepal_Width\") \n",
    "plt.ylabel(\"Count\") \n",
    "  \n",
    "plt.show() "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x504 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = (10, 7)) \n",
    "x = iris.Sepal_Width \n",
    "y = iris.Petal_Width\n",
    "\n",
    "plt.scatter(x, y) \n",
    "plt.title(\"Width in cm\") \n",
    "plt.xlabel(\"Sepal_Width\") \n",
    "plt.ylabel(\"Petal_Width\") \n",
    "  \n",
    "plt.show() "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import seaborn as sns\n",
    "sns.distplot(iris['Sepal_Length'])\n",
    "plt.show()\n",
    "sns.distplot(iris['Petal_Width'])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 20 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.pairplot(iris, palette=\"husl\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Introduction to Probability\n",
    "\n",
    "Probability is numerical descriptions of how likely an event is to occur or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty. \n",
    "\n",
    "For example, rolling a die. Now assuming it's a regular six-faced die, the possible outcomes from a single roll are one, two, three, four, five, or six. This is known as the sample space for the experiment. An event is an instance of the experiment with a specific outcome, for example, rolling a six.     \n",
    "\n",
    "**Probability Basics**\n",
    "\n",
    "Let's start with some basic definitions and principles.,\n",
    "\n",
    "- An ***experiment*** or ***trial*** is an action with an uncertain outcome, such as tossing a coin.\n",
    "\n",
    "- A ***sample space*** is the set of all possible outcomes of an experiment. In a coin toss, there's a set of two possible oucomes (*heads* and *tails*).\n",
    "\n",
    "- A ***sample point*** is a single possible outcome - for example, *heads*).\n",
    "\n",
    "- An ***event*** is a specific outome of single instance of an experiment - for example, tossing a coin and getting \n",
    "*tails*.\n",
    "\n",
    "- ***Probability*** is a value between 0 and 1 that indicates the likelihood of a particular event, with 0 meaning that the event is impossible, and 1 meaning that the event is inevitable. \n",
    "\n",
    "There is exactly one sample point in our event space that satisfies that outcome. So assuming the die is fair, there's a one in six chance that the event will occur in any given trial roll of the die."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/jpeg": 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\n",
      "text/html": [
       "\n",
       "        <iframe\n",
       "            width=\"860\"\n",
       "            height=\"460\"\n",
       "            src=\"https://www.youtube.com/embed/TLGYsch6YFA\"\n",
       "            frameborder=\"0\"\n",
       "            allowfullscreen\n",
       "        ></iframe>\n",
       "        "
      ],
      "text/plain": [
       "<IPython.lib.display.YouTubeVideo at 0x2e6a3ff2288>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "YouTubeVideo('TLGYsch6YFA', width=860, height=460)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[510, 490]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import random\n",
    "from matplotlib import pyplot as plt\n",
    "\n",
    "heads_tails = [0,0]\n",
    "\n",
    "# loop through trials\n",
    "trials = 1000\n",
    "trial = 0\n",
    "while trial < trials:\n",
    "    trial = trial + 1\n",
    "    # Get a random 0 or 1\n",
    "    toss = random.randint(0,1)\n",
    "    # Increment the list element corresponding to the toss result\n",
    "    heads_tails[toss] = heads_tails[toss] + 1\n",
    "\n",
    "print (heads_tails)\n",
    "\n",
    "# Show a pie chart of the results\n",
    "plt.figure(figsize=(5,5))\n",
    "plt.pie(heads_tails, labels=['heads', 'tails'])\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}