Choosing a display for a purpose
Choosing a display for a purpose
Secondary 4
7 marks
A sports teacher records the \(100\) m times of \(120\) students. For parts (a) to (c), choose one display from: a cumulative frequency curve, box-and-whisker plots, a stem-and-leaf diagram, a histogram with equal class widths. Give a reason for each choice.
- To estimate how many students ran faster than \(14.5\) seconds.[2]
- To compare the times of the boys and the girls quickly, using their medians and spreads.[2]
- To show how many students have times in each \(0.5\)-second class.[2]
- State one disadvantage of a box-and-whisker plot for these data.[1]
Solution:
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Answer:(a) Cumulative frequency curve: it gives the number up to any time (b) Two box plots on one scale: medians and IQRs compared at a glance (c) Histogram: shows the frequency of each class (d) For example: a box plot does not show how many students there are or their individual times (accept another correct disadvantage).
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