\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{ArcelM4}
\pdfinfo{
  /Title (geometry-probability-stats-and-measurements.pdf)
  /Creator (Cheatography)
  /Author (ArcelM4)
  /Subject (Geometry, Probability, Stats, and Measurements 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}{000080}
\definecolor{LightBackground}{HTML}{F7F7FB}
\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{Geometry, Probability, Stats, and Measurements Cheat Sheet}}}} \\
    \normalsize{by \textcolor{DarkBackground}{ArcelM4} via \textcolor{DarkBackground}{\uline{cheatography.com/198742/cs/42092/}}}
\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}ArcelM4 \\
  \uline{cheatography.com/arcelm4} \\
  \end{tabulary}
\vfill
\columnbreak
\begin{tabulary}{5.8cm}{L}
  \SetRowColor{FootBackground}
  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}}  \\
   \vspace{-2pt}Published 9th February, 2024.\\
   Updated 24th January, 2024.\\
   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{2.72 cm} x{5.28 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Geometry}}  \tn
% Row 0
\SetRowColor{LightBackground}
Triangles & Are three sides, three angles, and all angles add up to 180 degrees. \tn 
% Row Count 3 (+ 3)
% Row 1
\SetRowColor{white}
Acute Triangles & All interior angles must be 0-90 degrees. All equilateral triangles are acute. \tn 
% Row Count 6 (+ 3)
% Row 2
\SetRowColor{LightBackground}
Scalene Triangles & All sides and angles differ in measure. \tn 
% Row Count 8 (+ 2)
% Row 3
\SetRowColor{white}
Right Triangles & Only one angle is equal to 90 degrees \tn 
% Row Count 10 (+ 2)
% Row 4
\SetRowColor{LightBackground}
Isosceles Triangles & Two opposite sides and angles are equal to each other. \tn 
% Row Count 13 (+ 3)
% Row 5
\SetRowColor{white}
Equilateral Traingles & All sides equal. All angles equal to 60 degrees. \tn 
% Row Count 15 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{8.4cm}}{Finding a missing internal angle: \newline {\emph{a}} + {\emph{b}} + {\emph{c}} = 180° \newline 50° + 30° + {\emph{c}} = 180° \newline 180° - 50° - 30° = {\emph{c}} \newline 100° = {\emph{c}} \newline  \newline Straight lines are equal to 180 degrees. \newline  \newline Finding the exterior/internal angle with a straight line: \newline {\emph{x}} + {\emph{y}} = 180° \newline 40° + {\emph{y}} = 180° \newline 180° - 40° = {\emph{y}} \newline 140° ={\emph{y}}}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{x{4 cm} x{4 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Polygons}}  \tn
% Row 0
\SetRowColor{LightBackground}
Polygons & Any enclosed geometrical shape that is composed of straight lines. \tn 
% Row Count 4 (+ 4)
% Row 1
\SetRowColor{white}
Regular Polygons & All sides and interior angles are equal. \tn 
% Row Count 6 (+ 2)
% Row 2
\SetRowColor{LightBackground}
Diagonals & A segment connecting two non-adjacent corners in a polygons. \tn 
% Row Count 9 (+ 3)
% Row 3
\SetRowColor{white}
Formula to find the sum of interior angles: & 180°({\emph{n}} - 2). {\emph{n}} = number of sides. \tn 
% Row Count 12 (+ 3)
% Row 4
\SetRowColor{LightBackground}
Formula to find the measure of interior angles: & (180°({\emph{n}} - 2))/{\emph{n}} \tn 
% Row Count 15 (+ 3)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{8.4cm}}{Find the sum of interior angles of a nine (9) sided polygon. \newline 180°({\emph{n}} - 2) \newline 180°(9 - 2) \newline 180°(7) \newline 1260° \newline  \newline Find the measure of interior angles of a 3 sided polygon: \newline (180°({\emph{n}} - 2))/{\emph{n}} \newline (180°(3 - 2))/3 \newline (180°(1))/3 \newline 180°/3 \newline 60°}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{x{2.64 cm} x{5.36 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Quadrilaterals}}  \tn
% Row 0
\SetRowColor{LightBackground}
\seqsplit{Quadrilaterals} & Any four sided polygon. \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
\seqsplit{Parallelograms} & Opposite sides are parallel to each other. Opposite sides and angles are equal in measure. \tn 
% Row Count 6 (+ 4)
% Row 2
\SetRowColor{LightBackground}
Rhombus & Parallelograms with all sides that are equal. \tn 
% Row Count 8 (+ 2)
% Row 3
\SetRowColor{white}
Rectagles & Parallelograms with opposite sides equal in measure. All angles equal to 90°. \tn 
% Row Count 11 (+ 3)
% Row 4
\SetRowColor{LightBackground}
Squares & Parallelograms with all sides that are equal. All sides are 90° \tn 
% Row Count 14 (+ 3)
% Row 5
\SetRowColor{white}
Isosceles Trapezoids & One set of sides are parallel. Other sides equal in measure. \tn 
% Row Count 17 (+ 3)
% Row 6
\SetRowColor{LightBackground}
Kite & Two sets of equal sides. No lines are parallel. \tn 
% Row Count 19 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{8.4cm}}{Squares are also Rhombus, Rectangles, and Isosceles Trapezoids}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{x{5.52 cm} x{2.48 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Diagonals}}  \tn
% Row 0
\SetRowColor{LightBackground}
Formula for finding the number of diagonals in a polygon: & D = ({\emph{n}}({\emph{n}}-3))/2 \tn 
% Row Count 3 (+ 3)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{8.4cm}}{Diagonals \newline - Cut parallelograms into two equal triangles. \newline - Bisect each other. \newline  \newline Adjacent angles in a parallelogram add up to 180° \newline  \newline Opposite angles are equal to each other.}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Diagonal Diagram}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{8.4cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/arcelm4_1705720204_image_2024-01-19_211002673.png}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Adjacent/Opposite Angles Diagram}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{8.4cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/arcelm4_1705720560_image_2024-01-19_211600505.png}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{8.4cm}}{Same colours are opposite angles. Adjacent angles are next to each other.}  \tn 
\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}{Probability}}  \tn
% Row 0
\SetRowColor{LightBackground}
Probability & The mathematically likelihood that an event will occur.   A ratio that compares the possible successful outcomes, to the total number of outcomes. \tn 
% Row Count 7 (+ 7)
% Row 1
\SetRowColor{white}
Probability Formula & Number of successful outcomes, divided by total number of outcomes. (1/10) \tn 
% Row Count 11 (+ 4)
% Row 2
\SetRowColor{LightBackground}
Odds & A ratio that compares the number of possible successful outcomes to the number of possible unsuccessful outcomes. \tn 
% Row Count 16 (+ 5)
% Row 3
\SetRowColor{white}
Odds Formula & Successful Outcomes : Unsuccessful Outcomes \tn 
% Row Count 18 (+ 2)
% Row 4
\SetRowColor{LightBackground}
Theoretical Probability & A ratio that compares the number of possible successful outcomes to the total number of possible outcomes   Determined by reason or calculation. \tn 
% Row Count 24 (+ 6)
% Row 5
\SetRowColor{white}
Experimental Probability & A ratio that compares the number of times an event occurs to the total number of trials or tests   Determined by experiment. \tn 
% Row Count 30 (+ 6)
\end{tabularx}
\par\addvspace{1.3em}

\vfill
\columnbreak
\begin{tabularx}{8.4cm}{x{3.04 cm} x{4.96 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Probability (cont)}}  \tn
% Row 6
\SetRowColor{LightBackground}
Expected Value & Expected value is an application of probability that involves the likelihood of a gain or loss. \tn 
% Row Count 4 (+ 4)
% Row 7
\SetRowColor{white}
Expected Value Formula & EV={[}\%(gain) x \$gain{]}-{[}\%(lose) x \$loss{]} \tn 
% Row Count 6 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{8.4cm}}{Probability of picking card \#5: 1/5 \newline Odds of picking card \#5: 1:4 \newline Odds of not picking card \#5: 4:1 \newline Theoretical Probability: 1/5 chance of choosing card \#5. \newline Experimental Probability: He picked up card \#5 two times. 2/5 of picking card \#5. \newline  \newline  \newline There is a 1 in 5 chance of winning \$4.00. It costs \$1.00 to play. \newline  \newline EV={[}\%(gain) {\emph{ \$(gain){]} - {[}\%(loss) }} \$(loss){]} \newline EV={[}1/5 {\emph{ 4{]} - {[}4/5 }} 1{]} \newline EV={[}0.2 {\emph{ 4{]} - {[}0.8 }} 1{]} \newline EV=0.8 - 0.8 \newline EV=\$0}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{x{1.36 cm} x{6.64 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Law of Sines}}  \tn
% Row 0
\SetRowColor{LightBackground}
Sine Law & Used to find lengths of sides, or angles of non-right triangles.  \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
\seqsplit{Formula:} & {\emph{a}}/sin(A) = {\emph{b}}/sin(B) = {\emph{c}}/sin(C) \tn 
% Row Count 4 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{8.4cm}}{Find side {\emph{a}}: \newline {\emph{a}}/sin(30°) = 15cm/sin(45°) \newline {\emph{a}} = \seqsplit{sin(30°)(15cm/sin(45°))} \newline {\emph{a}} = 10.61cm \newline  \newline Find sin(C): \newline sin(C)/9 = sin(47)/11 \newline sin(C) = 9*{[}sin(47)/11{]} \newline C = sin\textasciicircum{}-1\textasciicircum{}(0.59838) \newline C = 36.75°}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Find Side Diagram: Law of Sines}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{8.4cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/arcelm4_1705723547_image_2024-01-19_220531066.png}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Find sin(C) Diagram}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{8.4cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/arcelm4_1705723392_image_2024-01-19_220259534.png}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{x{3.76 cm} x{4.24 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Law of Cosines}}  \tn
% Row 0
\SetRowColor{LightBackground}
Cosine Law & Used to find angles or sides when Sine Law isn't possible. \tn 
% Row Count 3 (+ 3)
% Row 1
\SetRowColor{white}
Formula to find with a given angle: & {\emph{a}}\textasciicircum{}2\textasciicircum{} = {\emph{b}}\textasciicircum{}2\textasciicircum{} + {\emph{c}}\textasciicircum{}2\textasciicircum{} - 2{\emph{bc}}CosA \tn 
% Row Count 5 (+ 2)
% Row 2
\SetRowColor{LightBackground}
Formula when there are no angles: & Cos(A) = ({\emph{b}}\textasciicircum{}2\textasciicircum{} + {\emph{c}}\textasciicircum{}2\textasciicircum{} - {\emph{a}}\textasciicircum{}2\textasciicircum{})/2{\emph{bc}} \tn 
% Row Count 7 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{8.4cm}}{{\emph{a}}/sin(40°) = 15/sin(B) = 8/sin(C) cannot be calculated so Cosine Law is used \newline  \newline Find side ({\emph{a}}) \newline {\emph{a}}\textasciicircum{}2\textasciicircum{} = b{\emph{2}} + c{\emph{2}} - 2{\emph{bc}}CosA \newline {\emph{a}}\textasciicircum{}2\textasciicircum{} = 15\textasciicircum{}2\textasciicircum{} + 8\textasciicircum{}2\textasciicircum{} - 2(15)(8)Cos(40°)  \newline {\emph{a}}\textasciicircum{}2\textasciicircum{} = 225 + 64 - 240 Cos(40°) \newline {\emph{a}}\textasciicircum{}2\textasciicircum{} = 105.14933 \newline {\emph{a}} = √105.14933 \newline {\emph{a}} = 10.25 \newline  \newline Find cosine(A) \newline Cos(A) = ({\emph{b}}\textasciicircum{}2\textasciicircum{} + {\emph{c}}\textasciicircum{}2\textasciicircum{} - {\emph{a}}\textasciicircum{}2\textasciicircum{})/2{\emph{bc}} \newline Cos(A) = (7\textasciicircum{}2\textasciicircum{} + 5\textasciicircum{}2\textasciicircum{} - 6\textasciicircum{}2\textasciicircum{})/2(7)(5) \newline Cos(A) = (49 + 25 - 36)/70 \newline Cos(A) = 0.542857 \newline A = cos\textasciicircum{}-1\textasciicircum{} (0.542857) \newline A = 57.12°}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Diagram: What to use}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{8.4cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/arcelm4_1705953463_image_2024-01-22_135533604.png}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{x{2.16 cm} x{5.84 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Measurement}}  \tn
% Row 0
\SetRowColor{LightBackground}
Accuracy & Accuracy of a measurement is how close the measurement is to the true value. \tn 
% Row Count 3 (+ 3)
% Row 1
\SetRowColor{white}
Precision & Precision of measurements is how close they are to each other. The precision is determined by the number of decimal places. \tn 
% Row Count 8 (+ 5)
% Row 2
\SetRowColor{LightBackground}
\seqsplit{Uncertainty} & Uncertainty is the natural variation in measurements associated with instruments \tn 
% Row Count 11 (+ 3)
% Row 3
\SetRowColor{white}
Tolerance (∓) & The total amount that a measurement is allowed to vary. Add or subtract Tolerance to Nominal Value. \tn 
% Row Count 15 (+ 4)
% Row 4
\SetRowColor{LightBackground}
Nominal Value & The middle number that can be added or subtracted from to show the minimum or maximum value. \tn 
% Row Count 19 (+ 4)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{8.4cm}}{Tolerance: (Maximum Value {\bf{-}} Minimum Value)/2  \newline {[}Eg. (130-120)/2 = ∓5{]}. \newline 125 ∓ 5 = (125 - 5 = 120) or (125 + 5 = 130) \newline Tolerance can have different maximum and minimum values. \newline Eg. 125 (+5) (-3) = {[}125 + 5 = 130{]} or {[}125 - 3 = 122{]}}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{p{0.8 cm} p{0.8 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Measurement (continued)}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{8.4cm}}{} \tn 
% Row Count 0 (+ 0)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{8.4cm}}{Nominal Value: Minimum Value + Tolerance \newline Eg. 120 + 5 = 125. \newline  \newline Precision: Lowest unit of measurement of the measuring device or the significant decimal place. \newline 87.32kg = 0.0\textgreater{}{\emph{1}}\textless{}. \newline  \newline Uncertainty: Because not all measuring devices are accurate, you include an error with the measurement. \newline (Smallest Measure/2) Eg. 0.1/2 = ∓0.05}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{x{2.56 cm} x{5.44 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Central Tendency}}  \tn
% Row 0
\SetRowColor{LightBackground}
Statistics & Is based upon data collected. From that, inferences and speculations are made. It is reliant upon the data and the interpretation of the data.  \tn 
% Row Count 6 (+ 6)
% Row 1
\SetRowColor{white}
Mean & The average of all data. The sum of all data, divided by the number of data. \tn 
% Row Count 9 (+ 3)
% Row 2
\SetRowColor{LightBackground}
Median & The set of values that is the middle of values arranged in ascending or descending order. \tn 
% Row Count 13 (+ 4)
% Row 3
\SetRowColor{white}
Even Median Formula & {\emph{X}}{[}{\bf{n}}/2{]} + {\emph{X}}{[}({\bf{n}}/2)+1{]})/2.  ({\bf{n}} = number of values)  ({\emph{X}} = position of values) \tn 
% Row Count 17 (+ 4)
% Row 4
\SetRowColor{LightBackground}
Mode & The value that appears the most frequently. \tn 
% Row Count 19 (+ 2)
% Row 5
\SetRowColor{white}
Outlier & A piece of data that is significantly different from the rest. \tn 
% Row Count 22 (+ 3)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{8.4cm}}{5, 7, 8, 8, 8, 9, 10, 12, 13, 14, 15 \newline  \newline Mean: \seqsplit{(5+7+8+8+8+9+10+12+13+14+15)/11} = 9.9 = 10 \newline Median (Odd): Middle value = 9 \newline  \newline 5, 7, 8, 8, 8, 9, 10, 12, 13, 14, 15, 35 \newline  \newline Median (Even): ({\emph{X}}{[}12/2{]} + ({\emph{X}}{[}(12/2)+1{]}/2  \newline = ({\emph{X}}{[}6{]} + {\emph{X}}{[}6+1{]})/2 \newline = (10 + 12)/2 \newline = 22/2 \newline = 11 \newline Mode: 8}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{x{2.72 cm} x{5.28 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Other Statistical Measurements}}  \tn
% Row 0
\SetRowColor{LightBackground}
Range & The difference from the highest value to the lowest value in the data set. \tn 
% Row Count 3 (+ 3)
% Row 1
\SetRowColor{white}
Trimmed Mean & Removing the highest and lowest values and calculating the mean so that data is accurately presented. \tn 
% Row Count 7 (+ 4)
% Row 2
\SetRowColor{LightBackground}
Weighted Mean & The average or mean of a data set in which each data point does not contribute an equal amount to the final average. \tn 
% Row Count 12 (+ 5)
% Row 3
\SetRowColor{white}
Weighted Mean Formula & Sum of the product of each item and its weight, divided by sum of the weightings \tn 
% Row Count 16 (+ 4)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{8.4cm}}{5, 7, 8, 8, 8, 9, 10, 12, 13, 14, 15, 35 \newline  \newline Trimmed Mean: Remove 5 and 35. \seqsplit{(7+8+8+8+9+10+12+13+14+15)/10} = 10.4, rounded up = 10 \newline  \newline Weighted Mean: Will be in a diagram because I cannot figure out how to use cells.}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Weighted Mean Diagram}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{8.4cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/arcelm4_1706063955_image_2024-01-23_203913279.png}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{x{2.96 cm} x{5.04 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Percentiles}}  \tn
% Row 0
\SetRowColor{LightBackground}
Percentiles & A value below which a certain percent of the data falls. \tn 
% Row Count 3 (+ 3)
% Row 1
\SetRowColor{white}
Percentile Rank & A percentile rank of 50 (usually written P50) is the median because 50\% (or half) of the values in the set are below the median value. \tn 
% Row Count 9 (+ 6)
% Row 2
\SetRowColor{LightBackground}
Percentile Rank Formula & {\emph{P}}=({\emph{B}}/{\bf{n}}) * 100. {\emph{B}}: The number of scores below a given score, {\bf{n}}: The number of scores. Always rounded to the nearest whole number \tn 
% Row Count 15 (+ 6)
% Row 3
\SetRowColor{white}
Stem Leaf Plot & A way to organize data in order of place value. The "tens digit and greater" is the stem and the "ones digit" is the leaf. \tn 
% Row Count 20 (+ 5)
% Row 4
\SetRowColor{LightBackground}
\textasciicircum{} & Will show on a diagram because I cannot figure out cells. \tn 
% Row Count 23 (+ 3)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{8.4cm}}{Ron scores 82\% on his biology exam. A total of 200 students who wrote the same exam. 135 scored lower than Ron. What is Ron's percentile rank? \newline  \newline {\emph{P}}=({\emph{B}}/{\bf{n}}) * 100 \newline {\emph{P}}=(135/200) * 100 \newline {\emph{P}}=(0.675) * 100 \newline {\emph{P}}=67.5 \newline {\emph{P}}=68th Percentile Rank}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Stem Leaf Plot Diagram}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{8.4cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/arcelm4_1706064695_image_2024-01-23_205117106.png}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{8.4cm}}{The "tens digit and greater" is the stem and the "ones digit" is the leaf.}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}


% That's all folks
\end{multicols*}

\end{document}