Mathematics 9709 · AS & A Level · Sampling and estimation

Sampling and estimation — practice question

The tables give a summary of the heights, $h$ cm, for $60$ girls and $60$ boys.
(i)[4]

On graph paper, use the same pair of axes to draw two cumulative frequency graphs showing the data.

(ii)[3]

During a school trip, the students must go into a cave that is $165\text{ cm}$ high. Use your graph to estimate the percentage of girls who will be unable to stand upright.

(iii)[1]

The students need to compare the heights of the girls and the boys. State one advantage of using a pair of box-and-whisker plots rather than the cumulative frequency graphs for this comparison.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Two cumulative frequency curves drawn on the same axes with the correct scale

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