Mathematics 9709 · AS & A Level · Representation of data

Representation of data — practice question

For a particular plant species, the lengths of $250$ leaves are measured to the nearest centimetre. The findings are shown in the table below: Length (cm): $5$-$9$, $10$-$14$, $15$-$19$, $20$-$24$, $25$-$29$, $30$-$39$ with matching frequencies $18$, $28$, $60$, $72$, $48$, $24$.
(a)[4]

In the grid below, draw a cumulative frequency graph to show this information.

(b)[2]

$38\%$ of these leaves have a length of $k$ cm or more. Use your graph to estimate $k$.

(c)[3]

Calculate an estimated mean length for these $250$ leaves.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: At least four cumulative frequencies are worked out correctly from the data.

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