Quick questions on Data presentation and interpretation: averages, spread, histograms and box plots - CCEA A-Level Mathematics

4short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is displaying data?

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A histogram displays grouped continuous data, where the area of each bar (not its height) is proportional to the frequency, so the vertical axis is frequency density

= \dfrac{\text{frequency}}{\text{class width}}

. A box plot shows the minimum, lower quartile, median, upper quartile and maximum, giving a five-number summary that makes comparing two data sets easy.

What is q1?

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Find the mean of

4, 7, 9, 12, 18

. [1 mark]

What is q2?

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A data set has

Q_1 = 12

and

Q_3 = 20

. Find the interquartile range. [1 mark]

What is q3?

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A histogram bar has class width

4

and frequency density

6

. Find the frequency. [2 marks]

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