Eduprobe
Question:
The following distribution gives the daily income of 50 workers of a factory:
| Daily Income (In) | Number of workers |
|---|---|
| 100-120 | 12 |
| 120-140 | 14 |
| 140-160 | 8 |
| 160-180 | 6 |
| 180-200 | 10 |
| Convert the distribution to a less than type cumulative frequency distribution and draw its ogive. |
Solution:
| Daily income | No. of workers | (Cumulative frequency) | Less than |
|---|---|---|---|
| 100-120 | 12 | 12 | 120 |
| 120-140 | 14 | 12+14=26 | 140 |
| 140-160 | 8 | 26+8=34 | 160 |
| 160-180 | 6 | 34+6=40 | 180 |
| 180-200 | 10 | 40+10=50 | 200 |
To draw the ogive, plot the cumulative frequency against the upper class boundary of each class interval. The points (120, 12), (140, 26), (160, 34), (180, 40), (200, 50) are plotted and joined by a smooth curve to form the ogive (less than type cumulative frequency curve).