\documentclass[10pt,a4paper]{article} % Packages \usepackage{fancyhdr} % For header and footer \usepackage{multicol} % Allows multicols in tables \usepackage{tabularx} % Intelligent column widths \usepackage{tabulary} % Used in header and footer \usepackage{hhline} % Border under tables \usepackage{graphicx} % For images \usepackage{xcolor} % For hex colours %\usepackage[utf8x]{inputenc} % For unicode character support \usepackage[T1]{fontenc} % Without this we get weird character replacements \usepackage{colortbl} % For coloured tables \usepackage{setspace} % For line height \usepackage{lastpage} % Needed for total page number \usepackage{seqsplit} % Splits long words. %\usepackage{opensans} % Can't make this work so far. Shame. Would be lovely. \usepackage[normalem]{ulem} % For underlining links % Most of the following are not required for the majority % of cheat sheets but are needed for some symbol support. \usepackage{amsmath} % Symbols \usepackage{MnSymbol} % Symbols \usepackage{wasysym} % Symbols %\usepackage[english,german,french,spanish,italian]{babel} % Languages % Document Info \author{kayheartsuu (kayheartsuu)} \pdfinfo{ /Title (ap-statistics-unit-1.pdf) /Creator (Cheatography) /Author (kayheartsuu (kayheartsuu)) /Subject (AP Statistics Unit 1 Cheat Sheet) } % Lengths and widths \addtolength{\textwidth}{6cm} \addtolength{\textheight}{-1cm} \addtolength{\hoffset}{-3cm} \addtolength{\voffset}{-2cm} \setlength{\tabcolsep}{0.2cm} % Space between columns \setlength{\headsep}{-12pt} % Reduce space between header and content \setlength{\headheight}{85pt} % If less, LaTeX automatically increases it \renewcommand{\footrulewidth}{0pt} % Remove footer line \renewcommand{\headrulewidth}{0pt} % Remove header line \renewcommand{\seqinsert}{\ifmmode\allowbreak\else\-\fi} % Hyphens in seqsplit % This two commands together give roughly % the right line height in the tables \renewcommand{\arraystretch}{1.3} \onehalfspacing % Commands \newcommand{\SetRowColor}[1]{\noalign{\gdef\RowColorName{#1}}\rowcolor{\RowColorName}} % Shortcut for row colour \newcommand{\mymulticolumn}[3]{\multicolumn{#1}{>{\columncolor{\RowColorName}}#2}{#3}} % For coloured multi-cols \newcolumntype{x}[1]{>{\raggedright}p{#1}} % New column types for ragged-right paragraph columns \newcommand{\tn}{\tabularnewline} % Required as custom column type in use % Font and Colours \definecolor{HeadBackground}{HTML}{333333} \definecolor{FootBackground}{HTML}{666666} \definecolor{TextColor}{HTML}{333333} \definecolor{DarkBackground}{HTML}{F5B3CE} \definecolor{LightBackground}{HTML}{FCECF2} \renewcommand{\familydefault}{\sfdefault} \color{TextColor} % Header and Footer \pagestyle{fancy} \fancyhead{} % Set header to blank \fancyfoot{} % Set footer to blank \fancyhead[L]{ \noindent \begin{multicols}{3} \begin{tabulary}{5.8cm}{C} \SetRowColor{DarkBackground} \vspace{-7pt} {\parbox{\dimexpr\textwidth-2\fboxsep\relax}{\noindent \hspace*{-6pt}\includegraphics[width=5.8cm]{/web/www.cheatography.com/public/images/cheatography_logo.pdf}} } \end{tabulary} \columnbreak \begin{tabulary}{11cm}{L} \vspace{-2pt}\large{\bf{\textcolor{DarkBackground}{\textrm{AP Statistics Unit 1 Cheat Sheet}}}} \\ \normalsize{by \textcolor{DarkBackground}{kayheartsuu (kayheartsuu)} via \textcolor{DarkBackground}{\uline{cheatography.com/162660/cs/34050/}}} \end{tabulary} \end{multicols}} \fancyfoot[L]{ \footnotesize \noindent \begin{multicols}{3} \begin{tabulary}{5.8cm}{LL} \SetRowColor{FootBackground} \mymulticolumn{2}{p{5.377cm}}{\bf\textcolor{white}{Cheatographer}} \\ \vspace{-2pt}kayheartsuu (kayheartsuu) \\ \uline{cheatography.com/kayheartsuu} \\ \end{tabulary} \vfill \columnbreak \begin{tabulary}{5.8cm}{L} \SetRowColor{FootBackground} \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}} \\ \vspace{-2pt}Published 28th February, 2024.\\ Updated 27th September, 2022.\\ Page {\thepage} of \pageref{LastPage}. \end{tabulary} \vfill \columnbreak \begin{tabulary}{5.8cm}{L} \SetRowColor{FootBackground} \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Sponsor}} \\ \SetRowColor{white} \vspace{-5pt} %\includegraphics[width=48px,height=48px]{dave.jpeg} Measure your website readability!\\ www.readability-score.com \end{tabulary} \end{multicols}} \begin{document} \raggedright \raggedcolumns % Set font size to small. Switch to any value % from this page to resize cheat sheet text: % www.emerson.emory.edu/services/latex/latex_169.html \footnotesize % Small font. \begin{multicols*}{2} \begin{tabularx}{8.4cm}{x{3.28 cm} x{4.72 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Terms to Know}} \tn % Row 0 \SetRowColor{LightBackground} {\bf{Population}} & entire collection of individuals or objects that information is gathered from \tn % Row Count 4 (+ 4) % Row 1 \SetRowColor{white} {\bf{Sample}} & subsets of population that is randomly selected \tn % Row Count 7 (+ 3) % Row 2 \SetRowColor{LightBackground} {\bf{Census}} & performed to gather information about an entire population \tn % Row Count 10 (+ 3) % Row 3 \SetRowColor{white} {\bf{Descriptive Statistics}} & method of organizing and summarizing data \tn % Row Count 12 (+ 2) % Row 4 \SetRowColor{LightBackground} {\bf{Inferential Statistics}} & making generalizations from a sample to a population \tn % Row Count 15 (+ 3) % Row 5 \SetRowColor{white} {\bf{Variable}} & characteristics that make change \tn % Row Count 17 (+ 2) % Row 6 \SetRowColor{LightBackground} {\bf{Data}} & actual observations collected \tn % Row Count 19 (+ 2) % Row 7 \SetRowColor{white} {\bf{Categorical Variable}} & no meaningful numerical value \tn % Row Count 21 (+ 2) % Row 8 \SetRowColor{LightBackground} {\bf{Numerical Variable}} & measurements, can be averaged \tn % Row Count 23 (+ 2) % Row 9 \SetRowColor{white} {\bf{Discrete Numerical}} & can only be specific values \tn % Row Count 25 (+ 2) % Row 10 \SetRowColor{LightBackground} {\bf{Continuous Numerical}} & can be any value \tn % Row Count 27 (+ 2) % Row 11 \SetRowColor{white} {\bf{Univariate}} & describes single characteristics \tn % Row Count 29 (+ 2) % Row 12 \SetRowColor{LightBackground} {\bf{Symmetrical Distribution}} & both sides of data are approximately the same when folded down the middle \tn % Row Count 33 (+ 4) \end{tabularx} \par\addvspace{1.3em} \vfill \columnbreak \begin{tabularx}{8.4cm}{x{3.28 cm} x{4.72 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Terms to Know (cont)}} \tn % Row 13 \SetRowColor{LightBackground} {\bf{Normal Distribution}} & bell-shaped, occurs a lot in real life \tn % Row Count 2 (+ 2) % Row 14 \SetRowColor{white} {\bf{Uniform Distribution}} & rectangular shaped \tn % Row Count 4 (+ 2) % Row 15 \SetRowColor{LightBackground} {\bf{Skewed Distribution}} & one side is longer than the other \tn % Row Count 6 (+ 2) % Row 16 \SetRowColor{white} {\bf{Bimodal}} & has two distinct maximums \tn % Row Count 8 (+ 2) % Row 17 \SetRowColor{LightBackground} {\bf{Parameter}} & a fixed value about a population; typically unkown \tn % Row Count 11 (+ 3) % Row 18 \SetRowColor{white} {\bf{Statistic}} & a value calculated from a sample that is used to estimate the parameter \tn % Row Count 15 (+ 4) % Row 19 \SetRowColor{LightBackground} {\bf{Median}} & the middle of the data; 50th percentile \tn % Row Count 17 (+ 2) % Row 20 \SetRowColor{white} {\bf{Mean}} & the arithmetic average \tn % Row Count 18 (+ 1) % Row 21 \SetRowColor{LightBackground} {\bf{Mode}} & the observation that occurs the most often \tn % Row Count 20 (+ 2) % Row 22 \SetRowColor{white} {\bf{Resistant}} & when a statistic is not affected by outliers \tn % Row Count 22 (+ 2) % Row 23 \SetRowColor{LightBackground} {\bf{Variability}} & how spread out the data is \tn % Row Count 24 (+ 2) % Row 24 \SetRowColor{white} {\bf{Standard Deviation}} & a measure of the average distance from the mean \tn % Row Count 27 (+ 3) % Row 25 \SetRowColor{LightBackground} {\bf{Interquartile Range}} & the range of the middle 50\% of the data \tn % Row Count 29 (+ 2) % Row 26 \SetRowColor{white} {\bf{Variance}} & the average of the squared deviations \tn % Row Count 31 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{x{1.84 cm} x{6.16 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{SOCCS}} \tn % Row 0 \SetRowColor{LightBackground} {\bf{Shape}} & the distribution of the graph (symmetrical, uniform, normal, skewed, bimodal) \tn % Row Count 3 (+ 3) % Row 1 \SetRowColor{white} {\bf{Outliers}} & values that are away from the rest of the data \tn % Row Count 5 (+ 2) % Row 2 \SetRowColor{LightBackground} {\bf{Context}} & explain what the graph is showing \tn % Row Count 7 (+ 2) % Row 3 \SetRowColor{white} {\bf{Center}} & describe the mean or median of the data \tn % Row Count 9 (+ 2) % Row 4 \SetRowColor{LightBackground} {\bf{Spread}} & describe the range, IQR, or standard deviation of the data \tn % Row Count 11 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{x{3.04 cm} x{4.96 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Graph Types}} \tn % Row 0 \SetRowColor{LightBackground} {\bf{Bar Graph}} & categorical, bars do not touch \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} {\bf{Pie Graph}} & categorical, percentages, can be approximated \tn % Row Count 4 (+ 2) % Row 2 \SetRowColor{LightBackground} {\bf{Dotplot}} & numerical, putting dots on a number line \tn % Row Count 6 (+ 2) % Row 3 \SetRowColor{white} {\bf{Stem Plot}} & univariate numerical, must have a key \tn % Row Count 8 (+ 2) % Row 4 \SetRowColor{LightBackground} {\bf{Discrete Histograms}} & numerical, bars touch, centered over discrete values \tn % Row Count 11 (+ 3) % Row 5 \SetRowColor{white} {\bf{Continuous Histograms}} & numerical, bars touch, bars cover an intervals of values \tn % Row Count 14 (+ 3) % Row 6 \SetRowColor{LightBackground} {\bf{Boxplot}} & displays percentages of data, construction is subjective, useful for comparisons \tn % Row Count 18 (+ 4) % Row 7 \SetRowColor{white} {\bf{Ogives}} & shows relative frequency, or percentiles for data \tn % Row Count 21 (+ 3) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{x{2.24 cm} x{5.76 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Formulas}} \tn % Row 0 \SetRowColor{LightBackground} {\bf{Z-Score}} & Z = (value - mean)/(standard deviation) \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} {\bf{IQR}} & Q3 - Q1 \tn % Row Count 3 (+ 1) % Row 2 \SetRowColor{LightBackground} {\bf{Lower Fence}} & Q1 - 1.5(IQR) \tn % Row Count 5 (+ 2) % Row 3 \SetRowColor{white} {\bf{Upper Fence}} & Q3 - 1.5(IQR) \tn % Row Count 7 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Empirical Rule}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{p{8.4cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/kayheartsuu_1662516330_emprical rule.jpg}}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} % That's all folks \end{multicols*} \end{document}