Mathematics 9709 · AS & A Level · Sampling and estimation

Sampling and estimation — practice question

The histogram below summarises the times, in minutes, that $190$ people needed to finish a race.
(a(i))[1]

Show that $75$ people took between $200$ and $250$ minutes to complete the race.

(a(ii))[6]

Calculate estimates for the mean and standard deviation of the times for the $190$ people.

(a(iii))[1]

Explain why the answers in part (ii) are estimates.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Number of people $=1.5\times50=75$

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