Ransha recorded the lengths of $160$ palm leaves in centimetres. The cumulative frequency graph below shows his results.
(a)[1]
Estimate how many leaves have lengths from $14$ to $24$ centimetres.
(b)[2]
$10\%$ of the leaves are $L$ centimetres or longer. Estimate the value of $L$.
(c)[3]
Estimate the median and the interquartile range for the lengths.
(d)[2]
Compare the two data sets in terms of central tendency and spread.
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This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Work out $156-55=99$ (or a valid equivalent).” …
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