Mathematics 0580 · IGCSE · Cumulative frequency diagrams

Cumulative frequency diagrams — practice question

A school nurse notes the height, $h$ cm, of each of the 180 children. The information is displayed in the table.
(a)[4]

Calculate an estimated mean. Give your answer correct to 1 decimal place.

(b)[3]

Calculate the height of the bar for each interval below: $115 < h \leq 125$, $110 < h \leq 115$, $70 < h \leq 90$.

(c)[2]

Complete the cumulative frequency table below.

(d)[3]

On the grid opposite, draw a cumulative frequency diagram.

(e(i))[2]

Use your cumulative frequency diagram to find an estimate of the interquartile range.

(e(ii))[2]

Use your cumulative frequency diagram to find an estimate of the 70th percentile.

(e(iii))[2]

Use your cumulative frequency diagram to find an estimate of the number of children with height greater than 106 cm.

Worked solution & mark scheme

This 18-mark question has a full step-by-step worked solution and mark scheme. One marking point: Midpoints $65,80,95,105,112.5,120$ are correct

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