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 Determine the cumulative frequencies. 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.

Height (in cm) No. of workers c.f. 150-155 6 6 155-160 12 18 160-165 18 36 165-170 20 56 170-175 13 69 175-180 8 77 180-185 6 83 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 freehand to obtain an ogive.

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CISCE(English Medium) ICSE Class 10

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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 - Mathematics

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

Determine the cumulative frequencies.
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.

Graph

Sum

Solution

Height (in cm)	No. of workers	c.f.
150-155	6	6
155-160	12	18
160-165	18	36
165-170	20	56
170-175	13	69
175-180	8	77
180-185	6	83

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 freehand to obtain an ogive.