Mathematics 9709 · AS & A Level · Sampling and estimation

Sampling and estimation — practice question

A survey was carried out on the journey times of $63$ people who cycle to work in one town. The findings are set out in the cumulative frequency table below: Journey time (minutes) $\leq 10, \leq 25, \leq 45, \leq 60, \leq 80$ with cumulative frequencies $0, 18, 50, 59, 63$.
(i)[1]

State the number of journey times that were between $25$ and $45$ minutes.

(ii)[4]

Use graph paper to draw a histogram that shows the data.

(iii)[2]

Calculate an estimate for the mean journey time.

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