Mathematics 9709 · AS & A Level · Sampling and estimation

Sampling and estimation — practice question

Anabel recorded the lengths, in centimetres, of 200 caterpillars. Her data are shown on the cumulative frequency graph below.
(i)[3]

Estimate the median and the interquartile range of the lengths.

(ii)[1]

Estimate how many caterpillars had lengths from $2$ to $3.5$ cm.

(iii)[2]

$6\%$ of caterpillars were of length $l$ centimetres or above. Estimate $l$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: State median $=3.2$

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