day1/session3.tex
author Madhusudan.C.S <madhusudancs@gmail.com>
Tue, 29 Dec 2009 19:02:01 +0530
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Added schedule tex file.
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%Tutorial slides on Python.
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%
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% Author: FOSSEE
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% Copyright (c) 2009, FOSSEE, IIT Bombay
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\documentclass[14pt,compress]{beamer}
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%\documentclass[draft]{beamer}
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%\documentclass[compress,handout]{beamer}
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%\usepackage{pgfpages} 
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%\pgfpagesuselayout{2 on 1}[a4paper,border shrink=5mm]
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% Modified from: generic-ornate-15min-45min.de.tex
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\mode<presentation>
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{
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  \usetheme{Warsaw}
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  \useoutertheme{infolines}
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  \setbeamercovered{transparent}
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}
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\usepackage[english]{babel}
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\usepackage[latin1]{inputenc}
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%\usepackage{times}
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\usepackage[T1]{fontenc}
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% Taken from Fernando's slides.
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\usepackage{ae,aecompl}
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\usepackage{mathpazo,courier,euler}
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\usepackage[scaled=.95]{helvet}
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\usepackage{amsmath}
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\definecolor{darkgreen}{rgb}{0,0.5,0}
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\usepackage{listings}
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\lstset{language=Python,
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    basicstyle=\ttfamily\bfseries,
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    commentstyle=\color{red}\itshape,
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  stringstyle=\color{darkgreen},
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  showstringspaces=false,
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  keywordstyle=\color{blue}\bfseries}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% Macros
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\setbeamercolor{emphbar}{bg=blue!20, fg=black}
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\newcommand{\emphbar}[1]
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{\begin{beamercolorbox}[rounded=true]{emphbar} 
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      {#1}
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 \end{beamercolorbox}
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}
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\newcounter{time}
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\setcounter{time}{0}
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\newcommand{\inctime}[1]{\addtocounter{time}{#1}{\tiny \thetime\ m}}
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\newcommand{\typ}[1]{\lstinline{#1}}
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\newcommand{\kwrd}[1]{ \texttt{\textbf{\color{blue}{#1}}}  }
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%%% This is from Fernando's setup.
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% \usepackage{color}
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% \definecolor{orange}{cmyk}{0,0.4,0.8,0.2}
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% % Use and configure listings package for nicely formatted code
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% \usepackage{listings}
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% \lstset{
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%    language=Python,
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%    basicstyle=\small\ttfamily,
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%    commentstyle=\ttfamily\color{blue},
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%    stringstyle=\ttfamily\color{orange},
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%    showstringspaces=false,
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%    breaklines=true,
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%    postbreak = \space\dots
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% }
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% Title page
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\title[Statistics]{Python for Science and Engg: Statistics}
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\author[FOSSEE] {FOSSEE}
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\institute[IIT Bombay] {Department of Aerospace Engineering\\IIT Bombay}
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\date[] {7 November, 2009\\Day 1, Session 3}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%\pgfdeclareimage[height=0.75cm]{iitmlogo}{iitmlogo}
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%\logo{\pgfuseimage{iitmlogo}}
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%% Delete this, if you do not want the table of contents to pop up at
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%% the beginning of each subsection:
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\AtBeginSubsection[]
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{
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  \begin{frame}<beamer>
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    \frametitle{Outline}
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    \tableofcontents[currentsection,currentsubsection]
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  \end{frame}
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}
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\AtBeginSection[]
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{
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  \begin{frame}<beamer>
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    \frametitle{Outline}
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    \tableofcontents[currentsection,currentsubsection]
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  \end{frame}
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}
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\newcommand{\num}{\texttt{numpy}}
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% If you wish to uncover everything in a step-wise fashion, uncomment
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% the following command: 
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%\beamerdefaultoverlayspecification{<+->}
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%\includeonlyframes{current,current1,current2,current3,current4,current5,current6}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% DOCUMENT STARTS
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\begin{document}
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\begin{frame}
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  \maketitle
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\end{frame}
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%% \begin{frame}
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%%   \frametitle{Outline}
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%%   \tableofcontents
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%%   % You might wish to add the option [pausesections]
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%% \end{frame}
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\section{Computing mean}
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\begin{frame}
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  \frametitle{Value of acceleration due to gravity?}
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  \begin{itemize}
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    \item We already have pendulum.txt
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    \item We know that $ T = 2\pi \sqrt{\frac{L}{g}} $
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    \item So $ g = \frac{4 \pi^2 L}{T^2}  $
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    \item Calculate ``g'' - acceleration due to gravity for each pair of L and T
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    \item Hence calculate mean ``g''
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  \end{itemize}
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\end{frame}
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\begin{frame}[fragile]
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  \frametitle{Acceleration due to gravity - ``g''\ldots}
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  \begin{lstlisting}
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In []: G = []
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In []: for line in open('pendulum.txt'):
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  ....     point = line.split()
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  ....     l = float(point[0])
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  ....     t = float(point[1])
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  ....     g = 4 * pi * pi * l / t * t
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  ....     G.append(g)
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  \end{lstlisting}
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\end{frame}
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\begin{frame}
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  \frametitle{Computing mean ``g''}
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  \begin{block}{Exercise}
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    Obtain the mean of ``g''
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  \end{block}
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\end{frame}
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\begin{frame}[fragile]
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  \frametitle{Mean ``g''}
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  \begin{lstlisting}
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total = 0
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for g in G:
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    total += g
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g_mean = total / len(g)
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print "Mean: ", g_mean
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  \end{lstlisting}
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\end{frame}
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\begin{frame}[fragile]
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  \frametitle{Mean ``g''}
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  \begin{lstlisting}
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g_mean = sum(G) / len(G)
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print "Mean: ", g_mean
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  \end{lstlisting}
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\end{frame}
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\begin{frame}[fragile]
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  \frametitle{Mean ``g''}
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  \begin{lstlisting}
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g_mean = mean(G)
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print "Mean: ", g_mean
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  \end{lstlisting}
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  \inctime{10}
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\end{frame}
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\section{Processing voluminous data}
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\begin{frame}
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  \frametitle{More on data processing}
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  \begin{block}{}
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    We have a huge data file--180,000 records.\\How do we do \emph{efficient} statistical computations, i.e. find mean, median, standard deviation etc; draw pie charts?
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  \end{block}
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\end{frame}
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\begin{frame}
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  \frametitle{Structure of the file}
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  Understanding the structure of sslc1.txt
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  \begin{itemize}
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    \item Each line in the file has a student's details(record)
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    \item Each record consists of fields separated by ';'
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  \end{itemize}
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\emphbar{A;015162;JENIL T P;081;060;77;41;74;333;P;;}
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\end{frame}
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\begin{frame}
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  \frametitle{Structure of the file \ldots}
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\emphbar{A;015163;JOSEPH RAJ S;083;042;47;AA;72;244;;;}
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  Each record consists of:
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  \begin{itemize}
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    \item Region Code
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    \item Roll Number
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    \item Name
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    \item Marks of 5 subjects: English, Hindi, Maths, Science, Social
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    \item Total marks
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    \item Pass/Fail (P/F)
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    \item Withheld (W)
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  \end{itemize}
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  \inctime{5}
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\end{frame}
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\begin{frame}
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  \frametitle{Statistical Analysis: Problem statement}
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  1. Read the data supplied in the file \emph{sslc1.txt} and carry out the following:
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  \begin{itemize}
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    \item[a] Draw a pie chart representing proportion of students who scored more than 90\% in each region in Science.
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    \item[b] Print mean, median and standard deviation of math scores for all regions combined.
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  \end{itemize}
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\end{frame}
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\begin{frame}
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  \frametitle{Problem statement: explanation}
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    \emphbar{a. Draw a pie chart representing proportion of students who scored more than 90\% in each region in Science.}
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\begin{columns}
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    \column{5.25\textwidth}
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    \hspace*{.5in}
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\includegraphics[height=2.6in, interpolate=true]{data/science}
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    \column{0.8\textwidth}
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\end{columns}
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\end{frame}
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\begin{frame}
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  \frametitle{Machinery Required}
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  \begin{itemize}
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    \item File reading
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    \item Parsing
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    \item Dictionaries 
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    \item Arrays
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    \item Statistical operations
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  \end{itemize}
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\end{frame}
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\subsection{Data processing}
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\begin{frame}[fragile]
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  \frametitle{File reading and parsing \ldots}
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  \begin{lstlisting}
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for record in open('sslc1.txt'):
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    fields = record.split(';')
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  \end{lstlisting}
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\begin{block}{}
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\centerline{Recall pendulum example!}
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\end{block}
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\end{frame}
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\subsection{Dictionaries}
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\begin{frame}[fragile]
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  \frametitle{Dictionaries: Introduction}
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  \begin{itemize}
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    \item lists index: 0 \ldots n
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    \item dictionaries index using strings
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  \end{itemize}
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\end{frame}
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\begin{frame}[fragile]
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  \frametitle{Dictionaries \ldots}
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  \begin{lstlisting}
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In []: d = {"jpg" : "image file",
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      "txt" : "text file", 
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      "py" : "python code"}
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In []: d["txt"]
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Out[]: 'text file'
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  \end{lstlisting}
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\end{frame}
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\begin{frame}[fragile]
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  \frametitle{Dictionaries \ldots}
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  \begin{lstlisting}
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In []: "py" in d
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Out[]: True
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In []: "cpp" in d
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Out[]: False
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  \end{lstlisting}
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\end{frame}
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\begin{frame}[fragile]
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  \frametitle{Dictionaries \ldots}
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  \begin{lstlisting}
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In []: d.keys()
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Out[]: ['py', 'txt', 'jpg']
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In []: d.values()
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Out[]: ['python code', 'text file',
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       'image file']
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  \end{lstlisting}
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  \inctime{10}
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\end{frame}
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\begin{frame}[fragile]
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  \frametitle{Getting back to the problem}
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  Let our dictionary be:
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  \begin{lstlisting}
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science = {}
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  \end{lstlisting}
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\begin{itemize}
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    \item Keys will be region codes
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    \item Values will be the number students who scored more than 90\% in that region
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  \end{itemize}
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  \begin{block}{Sample \emph{science} dictionary}
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    \{'A': 729, 'C': 764, 'B': 1120,'E': 414, 'D': 603, 'F': 500\}
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  \end{block}
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\end{frame}
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\begin{frame}[fragile]
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  \frametitle{Building parsed data \ldots}
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  \begin{lstlisting}
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science = {}
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for record in open('sslc1.txt'):
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    record = record.strip()
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    fields = record.split(';')
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    region_code = fields[0].strip()
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  \end{lstlisting}
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\end{frame}
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\begin{frame}[fragile]
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  \frametitle{Building parsed data \ldots}
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  \begin{lstlisting}
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if region_code not in science:
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    science[region_code] = 0
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score_str = fields[6].strip()
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score = int(score_str) if \
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    score_str != 'AA' else 0
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if score > 90:
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    science[region_code] += 1
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  \end{lstlisting}
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\end{frame}
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\begin{frame}[fragile]
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  \frametitle{Building parsed data \ldots}
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  \begin{lstlisting}
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print science
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print science.keys()
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print science.values()
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  \end{lstlisting}
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\end{frame}
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\subsection{Visualizing data}
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\begin{frame}[fragile]
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  \frametitle{Pie chart}
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  \small
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  \begin{lstlisting}
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pie(science.values(), 
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    labels = science.keys())
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title('Students scoring 90% and above 
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      in science by region')
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savefig('science.png')
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  \end{lstlisting}
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\begin{columns}
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    \column{5.25\textwidth}
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    \hspace*{1.1in}
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\includegraphics[height=2in, interpolate=true]{data/science}
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    \column{0.8\textwidth}
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\end{columns}
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  \inctime{10}
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\end{frame}
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\begin{frame}
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  \frametitle{Problem statement}
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    \emphbar{b. Print mean, median and standard deviation of math scores for all regions combined.}
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\end{frame}
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\begin{frame}[fragile]
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  \frametitle{Building data for statistics}
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  \begin{lstlisting}
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math_scores = []
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for record in open('sslc1.txt'):
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    record = record.strip()
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    fields = record.split(';')
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    score_str = fields[5].strip()
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    score = int(score_str) if \
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diff changeset
   403
      score_str != 'AA' else 0
125
99ca3cb18fd2 Session 3 Day 1, sslc data parsing obtaining statistics.
Madhusudan.C.S <madhusudancs@gmail.com>
parents: 120
diff changeset
   404
288
c4e25269a86c Reorganized slides.
Madhusudan.C.S <madhusudancs@gmail.com>
parents: 286
diff changeset
   405
    math_scores.append(score)
170
36ed5cdf5fde Reorganized the slides for sslc1.txt.
Madhusudan.C.S <madhusudancs@gmail.com>
parents: 167
diff changeset
   406
  \end{lstlisting}
36ed5cdf5fde Reorganized the slides for sslc1.txt.
Madhusudan.C.S <madhusudancs@gmail.com>
parents: 167
diff changeset
   407
\end{frame}
36ed5cdf5fde Reorganized the slides for sslc1.txt.
Madhusudan.C.S <madhusudancs@gmail.com>
parents: 167
diff changeset
   408
249
135062d6f91f Fixed typos and hanging words in Session 3 day 1.
Madhusudan.C.S <madhusudancs@gmail.com>
parents: 240
diff changeset
   409
\subsection{Obtaining statistics}
135062d6f91f Fixed typos and hanging words in Session 3 day 1.
Madhusudan.C.S <madhusudancs@gmail.com>
parents: 240
diff changeset
   410
\begin{frame}[fragile]
135062d6f91f Fixed typos and hanging words in Session 3 day 1.
Madhusudan.C.S <madhusudancs@gmail.com>
parents: 240
diff changeset
   411
  \frametitle{Obtaining statistics}
288
c4e25269a86c Reorganized slides.
Madhusudan.C.S <madhusudancs@gmail.com>
parents: 286
diff changeset
   412
  \begin{block}{Exercise}
249
135062d6f91f Fixed typos and hanging words in Session 3 day 1.
Madhusudan.C.S <madhusudancs@gmail.com>
parents: 240
diff changeset
   413
    Obtain the mean of Math scores
135062d6f91f Fixed typos and hanging words in Session 3 day 1.
Madhusudan.C.S <madhusudancs@gmail.com>
parents: 240
diff changeset
   414
  \end{block}
135062d6f91f Fixed typos and hanging words in Session 3 day 1.
Madhusudan.C.S <madhusudancs@gmail.com>
parents: 240
diff changeset
   415
\end{frame}
135062d6f91f Fixed typos and hanging words in Session 3 day 1.
Madhusudan.C.S <madhusudancs@gmail.com>
parents: 240
diff changeset
   416
135062d6f91f Fixed typos and hanging words in Session 3 day 1.
Madhusudan.C.S <madhusudancs@gmail.com>
parents: 240
diff changeset
   417
\begin{frame}[fragile]
204
87f914f38ba1 Session 3 day 1, Statistical operations finalized.
Madhusudan.C.S <madhusudancs@gmail.com>
parents: 192
diff changeset
   418
  \frametitle{Obtaining statistics}
87f914f38ba1 Session 3 day 1, Statistical operations finalized.
Madhusudan.C.S <madhusudancs@gmail.com>
parents: 192
diff changeset
   419
  \begin{lstlisting}
87f914f38ba1 Session 3 day 1, Statistical operations finalized.
Madhusudan.C.S <madhusudancs@gmail.com>
parents: 192
diff changeset
   420
print "Mean: ", mean(math_scores)
87f914f38ba1 Session 3 day 1, Statistical operations finalized.
Madhusudan.C.S <madhusudancs@gmail.com>
parents: 192
diff changeset
   421
87f914f38ba1 Session 3 day 1, Statistical operations finalized.
Madhusudan.C.S <madhusudancs@gmail.com>
parents: 192
diff changeset
   422
print "Median: ", median(math_scores)
87f914f38ba1 Session 3 day 1, Statistical operations finalized.
Madhusudan.C.S <madhusudancs@gmail.com>
parents: 192
diff changeset
   423
87f914f38ba1 Session 3 day 1, Statistical operations finalized.
Madhusudan.C.S <madhusudancs@gmail.com>
parents: 192
diff changeset
   424
print "Standard Deviation: ",
87f914f38ba1 Session 3 day 1, Statistical operations finalized.
Madhusudan.C.S <madhusudancs@gmail.com>
parents: 192
diff changeset
   425
              std(math_scores)
87f914f38ba1 Session 3 day 1, Statistical operations finalized.
Madhusudan.C.S <madhusudancs@gmail.com>
parents: 192
diff changeset
   426
  \end{lstlisting}
288
c4e25269a86c Reorganized slides.
Madhusudan.C.S <madhusudancs@gmail.com>
parents: 286
diff changeset
   427
  \inctime{10}
c4e25269a86c Reorganized slides.
Madhusudan.C.S <madhusudancs@gmail.com>
parents: 286
diff changeset
   428
\end{frame}
c4e25269a86c Reorganized slides.
Madhusudan.C.S <madhusudancs@gmail.com>
parents: 286
diff changeset
   429
c4e25269a86c Reorganized slides.
Madhusudan.C.S <madhusudancs@gmail.com>
parents: 286
diff changeset
   430
\begin{frame}[fragile]
c4e25269a86c Reorganized slides.
Madhusudan.C.S <madhusudancs@gmail.com>
parents: 286
diff changeset
   431
  \frametitle{Obtaining statistics: efficiently!}
c4e25269a86c Reorganized slides.
Madhusudan.C.S <madhusudancs@gmail.com>
parents: 286
diff changeset
   432
  \begin{lstlisting}
c4e25269a86c Reorganized slides.
Madhusudan.C.S <madhusudancs@gmail.com>
parents: 286
diff changeset
   433
math_array = array(math_scores)
c4e25269a86c Reorganized slides.
Madhusudan.C.S <madhusudancs@gmail.com>
parents: 286
diff changeset
   434
c4e25269a86c Reorganized slides.
Madhusudan.C.S <madhusudancs@gmail.com>
parents: 286
diff changeset
   435
print "Mean: ", mean(math_array)
c4e25269a86c Reorganized slides.
Madhusudan.C.S <madhusudancs@gmail.com>
parents: 286
diff changeset
   436
c4e25269a86c Reorganized slides.
Madhusudan.C.S <madhusudancs@gmail.com>
parents: 286
diff changeset
   437
print "Median: ", median(math_array)
c4e25269a86c Reorganized slides.
Madhusudan.C.S <madhusudancs@gmail.com>
parents: 286
diff changeset
   438
c4e25269a86c Reorganized slides.
Madhusudan.C.S <madhusudancs@gmail.com>
parents: 286
diff changeset
   439
print "Standard Deviation: ",
c4e25269a86c Reorganized slides.
Madhusudan.C.S <madhusudancs@gmail.com>
parents: 286
diff changeset
   440
              std(math_array)
c4e25269a86c Reorganized slides.
Madhusudan.C.S <madhusudancs@gmail.com>
parents: 286
diff changeset
   441
  \end{lstlisting}
c4e25269a86c Reorganized slides.
Madhusudan.C.S <madhusudancs@gmail.com>
parents: 286
diff changeset
   442
  \inctime{5}
204
87f914f38ba1 Session 3 day 1, Statistical operations finalized.
Madhusudan.C.S <madhusudancs@gmail.com>
parents: 192
diff changeset
   443
\end{frame}
87f914f38ba1 Session 3 day 1, Statistical operations finalized.
Madhusudan.C.S <madhusudancs@gmail.com>
parents: 192
diff changeset
   444
87f914f38ba1 Session 3 day 1, Statistical operations finalized.
Madhusudan.C.S <madhusudancs@gmail.com>
parents: 192
diff changeset
   445
\begin{frame}[fragile]
87f914f38ba1 Session 3 day 1, Statistical operations finalized.
Madhusudan.C.S <madhusudancs@gmail.com>
parents: 192
diff changeset
   446
  \frametitle{What tools did we use?}
87f914f38ba1 Session 3 day 1, Statistical operations finalized.
Madhusudan.C.S <madhusudancs@gmail.com>
parents: 192
diff changeset
   447
  \begin{itemize}
87f914f38ba1 Session 3 day 1, Statistical operations finalized.
Madhusudan.C.S <madhusudancs@gmail.com>
parents: 192
diff changeset
   448
   \item Dictionaries for storing data
87f914f38ba1 Session 3 day 1, Statistical operations finalized.
Madhusudan.C.S <madhusudancs@gmail.com>
parents: 192
diff changeset
   449
   \item Facilities for drawing pie charts
288
c4e25269a86c Reorganized slides.
Madhusudan.C.S <madhusudancs@gmail.com>
parents: 286
diff changeset
   450
   \item Efficient array manipulations
c4e25269a86c Reorganized slides.
Madhusudan.C.S <madhusudancs@gmail.com>
parents: 286
diff changeset
   451
   \item Functions for statistical computations - mean, median, standard deviation
204
87f914f38ba1 Session 3 day 1, Statistical operations finalized.
Madhusudan.C.S <madhusudancs@gmail.com>
parents: 192
diff changeset
   452
  \end{itemize}
87f914f38ba1 Session 3 day 1, Statistical operations finalized.
Madhusudan.C.S <madhusudancs@gmail.com>
parents: 192
diff changeset
   453
\end{frame}
87f914f38ba1 Session 3 day 1, Statistical operations finalized.
Madhusudan.C.S <madhusudancs@gmail.com>
parents: 192
diff changeset
   454
115
66709e58f765 Added session3.
Puneeth Chaganti <punchagan@fossee.in>
parents:
diff changeset
   455
\end{document}