Resources for Organising and Displaying Data
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Organising and Displaying Data Theory
![\begin{multicols}{2} \textbf{Example 1}\\ The colours of jelly beans in a jar were recorded and counted.\\ Display this data as a divided bar graph.\\ Which colour occurs the most frequently\\[3pt] \resizebox{\linewidth}{!}{ \begin{tabular}{|c|c|c|c|c|c|} \hline Colour & White & Black & Green & Blue & Red \\ \hline Frequency & 10 & 6 & 8 & 12 & 4 \\ \hline \end{tabular} } \hfill \linebreak \textbf{Example 1 solution}\\[3pt] \begin{tikzpicture}[line width=1pt,scale=0.85] \draw (0,0) rectangle (10,2); \draw (2.25,0) edge (2.25,2) (3.72,0) edge (3.72,2) (5.72,0) edge (5.72,2) (8.72,0) edge (8.72,2); \node at (1.25,1) {White}; \node at (3,1) {Black}; \node at (4.7,1) {Green}; \node at (7.3,1) {Blue}; \node at (9.3,1) {Red}; \end{tikzpicture}\\ There are a total of 40 jelly beans\\ As a decimal:\\ white \(=0.25\), black \(=0.15\), green \(=0.2\)\\ blue \(=0.3\) and Red\(=0.1\).\\ The divided bar graph represents these divisions.\\ Blue occurs the most frequently. \columnbreak \textbf{Example 2}\\ Display the data from example 1 as a sector graph.\\ which colour occurs the least?\\ \textbf{Example 2 solution}\\ \begin{center} \begin{tikzpicture} \draw (0,0) circle (2cm); \draw (0,0) edge (90:2); \draw (0,0) edge (144:2); \draw (0,0) edge (216:2); \draw (0,0) edge (324:2); \draw (0,0) edge (right:2); \node at (45:1.2) {White}; \node at (117:1.2) {Black}; \node at (170:1.2) {Green}; \node at (270:1.2) {Blue}; \node at (345:1.2){Red}; \end{tikzpicture} \end{center} To determine the sector angles\\ \(\begin{aligned} \text { white } & =0.25 \times 360^{\circ}=90^{\circ} \\ \text { Black } & =0.15 \times 360^{\circ}=54^{\circ} \\ \text { Green } & =0.20 \times 360^{\circ}=72^{\circ} \\ \text { Blue } & =0.30 \times 360^{\circ}=108^{\circ} \\ \text { Red } & =0.10 \times 360^{\circ}=36^{\circ} \end{aligned}\)\\ Red occurs the least. \end{multicols}](/media/gjfgizgh/9220.png)
NSW Y8 Maths Investigating Data Organising and Displaying Data
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