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The following distribution gives the daily income of 50 workers of a factory.
Daily income in Rupees
100-120
120-140
140-160
160-180
180-200
Number of workers
12
14
8
6
10
Convert the distribution above to a less than type cumulative frequency distribution and draw its ogive.
| Daily income in Rupees | 100-120 | 120-140 | 140-160 | 160-180 | 180-200 |
| Number of workers | 12 | 14 | 8 | 6 | 10 |
Answer :
| Daily income | Frequency | Cumulative Frequency |
| Less than 120 | 12 | 12 |
| Less than 140 | 14 | 26 |
| Less than 160 | 8 | 34 |
| Less than 180 | 6 | 40 |
| Less than 200 | 10 | 50 |
From the table plot the points corresponding to the ordered pairs such as (120, 12), (140, 26), (160, 34), (180, 40) and (200, 50) on graph paper and the plotted points are joined to get a smooth curve and the obtained curve is known as less than type ogive curve
