Mathematics 9709 · AS & A Level · Representation of data

Representation of data — practice question

The table below gives the heights, in cm, of 200 adults in Barimba: height intervals $130 \le h < 150$, $150 \le h < 160$, $160 \le h < 170$, $170 \le h < 175$, $175 \le h < 195$ with matching frequencies $16$, $32$, $76$, $64$, $12$.
(a)[4]

Draw a histogram to display this data.

(b)[2]

The interquartile range is $R$ cm. Show that $R$ is not greater than $15$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Frequency densities for at least four classes are worked out correctly using $\frac{f}{cw}$.

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