Using a 5-number summary of the data represented in this graph, or otherwise, determine
- the median (1 mark)
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- the interquartile range (2 marks)
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Show Worked Solution
i. \(\text{15 data points}\ \Rightarrow \ \text{Median = 8th data point}\)
\(\text{Median}\ = 2 \)
ii.
\begin{array} {|c|c|c|c|c|}
\hline
\rule{0pt}{2.5ex} \ \text{Min} \ \rule[-1ex]{0pt}{0pt} &\ \ \text{Q}_1 \ \ \ &\ \ \text{Q}_2 \ \ \ &\ \ \text{Q}_3 \ \ \ & \ \text{Max} \ \\
\hline
\rule{0pt}{2.5ex} 0 \rule[-1ex]{0pt}{0pt} & 1 & 2 & 5 & 7 \\
\hline
\end{array}
\(\text{IQR}\ = \text{Q}_3-\text{Q}_1 = 5-1=4 \)