Mathematics 0580 · IGCSE · Cumulative frequency diagrams

Cumulative frequency diagrams — practice question

The height, $h$ cm, of each of 120 plants is recorded, and the cumulative frequency diagram displays the data.
(a(i))[1]

Estimate the median by using the cumulative frequency diagram.

(a(ii))[2]

Estimate the interquartile range from the cumulative frequency diagram.

(a(iii))[1]

Estimate the 60th percentile from the cumulative frequency diagram.

(a(iv))[2]

Use the cumulative frequency diagram to estimate how many plants have a height greater than $40$ cm.

(b(i))[4]

Work out an estimate of the mean height.

(b(ii))[2]

Calculate the height of the bar for the interval $30 < h \le 50$.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: Median = $25$.

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