Question

The following table shows the distribution of the heights of a group of factory workers:

Ht. (cm)	150 - 155	155 – 160	160 - 165	165 – 170	170 – 175	175 - 180	180 - 185
No of workers:	6	12	18	20	13	8	6

(i) Determine the cumulative frequencies.

(ii) Draw the ‘less than’ cumulative frequency curve on graph paper. Use 2 cm = 5 cm height on one axis and 2 cm = 10 workers on the other.

Answer 1

We plot the points (155, 6), (160, 18), (165, 36), (170, 56), (175, 69), (180, 77) and (185, 83) on the graph and join them in free hand to obtain an ogive.