Mathematics 0580 · IGCSE · Cumulative frequency diagrams

Cumulative frequency diagrams — practice question

The cumulative frequency diagram gives data on the mass, $m$ kg, for each of 80 boys.
(a)[4]

On the grid, sketch a box-and-whisker plot to represent the information shown in the cumulative frequency diagram.

(b(i))[2]

Use the cumulative frequency diagram to obtain an estimate of the 30th percentile.

(b(ii))[2]

Use the cumulative frequency diagram to estimate how many boys have a mass greater than 75 kg.

(c(i))[1]

Complete this table.

(c(ii))[4]

Calculate an estimated mean mass for the boys.

(c(iii))[3]

Find the probability that one has a mass greater than 80 kg and the other has a mass of 80 kg or less.

Worked solution & mark scheme

This 16-mark question has a full step-by-step worked solution and mark scheme. One marking point: A correct box-and-whisker plot with the median at 63, LQ 50, UQ 72, and extremes 30 and 90

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