## IGCSE MATHEMATICS 0580/42/O/N/20 Q4

4. The height, hcm, of each of 120 plants is measured.

The cumulative frequency diagram shows this information.

(a) Use the cumulative frequency diagram to find an estimate of

(i) the median,

(ii) the interquartile range,

(iii) the 60th percentile,

(iv) the number of plants with a height greater than 40cm.

(b) The information in the cumulative frequency diagram is shown in this frequency table

(i) Calculate an estimate of the mean height.

(ii) A histogram is drawn to show the information in the frequency table.

The height of the bar representing the interval 10 < h ≤ 20 is 7.2cm.

Calculate the height of the bar representing the interval 30 < H ≤ 50 .

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