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Question:

The following distribution gives the daily income of 50 workers of a factory.

Daily Income (in Rs) Number of workers
100-120 12
120-140 14
140-160 8
160-180 6
180-200 10
Convert the distribution above to a less than type cumulative frequency distribution, and draw its ogive.

Solution:

Converting the given distribution to a less than type cumulative frequency distribution, we get

Daily Income (in Rs) Number of workers
<120 12
<140 12+14=26
<160 26+8=34
<180 34+6=40
<200 40+10=50

Let us now plot the points corresponding to the ordered pairs (120,12), (140,26), (160,34), (180,40) and (200,50) on graph paper and join them by a free hand smooth curve.