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General Mathematics · Unit 2 · Univariate data analysis 2 · Comparing data for a single numerical variable across two or more groups

Compare datasets in terms of mean, median, range, IQR and standard deviation, interpret the differences observed in the context of the data, and report the findings in a systematic and concise manner.

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Question 1

A regional health service monitors the waiting times (in minutes) for patients at two emergency departments, Site A and Site B, over the same week. Compare the two datasets in terms of their measures of centre and spread, and interpret which site demonstrates more consistent service delivery.

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Question 2

Two manufacturing plants, Plant X and Plant Y, produce identical components. A quality control officer records the daily production output (in thousands of units) over a two-week period. The summary statistics are shown in the table below. Which statement correctly compares the two datasets?

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Construct and use parallel box plots, including identifying possible outliers, to compare datasets in terms of median, spread (range and IQR) and outliers to interpret and communicate the differences observed in the context of the data.  outliers (identifying): Q1 − 1.5 × IQR ≤ 𝑥 ≤ Q3 + 1.5 × IQR where Q1 is lower quartile and Q3 is upper quartile
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