Mathematics 4024 · O Level · Averages and measures of spread

Averages and measures of spread — practice question

A shop offers two varieties of apple tree.
(a(i)(a))[1]

Estimate the median height from the diagram.

(a(i)(b))[2]

Estimate the $30$th percentile from the diagram.

(a(ii))[2]

Heights above $y$ m are put into Class I. $\frac{2}{5}$ of the $80$ trees are in Class I. Find $y$.

(a(iii))[2]

Finish the frequency table for the heights of the Variety $A$ trees.

(b)[6]

With midpoints, the estimated mean height of Variety $B$ trees is $1.81$ m. Calculate $p$ and $q$.

Worked solution & mark scheme

This 13-mark question has a full step-by-step worked solution and mark scheme. One marking point: approximately $1.33$-$1.335$

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