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Question
The following is the distribution of weights (in kg) of 40 persons:
| Weight (in kg) | 40 – 45 | 45 – 50 | 50 – 55 | 55 – 60 | 60 – 65 | 65 – 70 | 70 – 75 | 75 – 80 |
| Number of persons | 4 | 4 | 13 | 5 | 6 | 5 | 2 | 1 |
Construct a cumulative frequency distribution (of the less than type) table for the data above.
Solution
| C.I. | `bb(f_i)` | Weight (in kg) | Cumulative frequency |
| 40 – 45 | 4 | Less than 45 | 4 + 0 = 4 |
| 45 – 50 | 4 | Less than 50 | 4 + 4 = 8 |
| 50 – 55 | 13 | Less than 55 | 8 + 13 = 21 |
| 55 – 60 | 5 | Less than 60 | 21 + 5 = 26 |
| 60 – 65 | 6 | Less than 65 | 26 + 6 = 32 |
| 65 – 70 | 5 | Less than 70 | 32 + 5 = 37 |
| 70 – 75 | 2 | Less than 75 | 37 + 2 = 39 |
| 75 – 80 | 1 | Less than 80 | 39 + 1 = 40 |
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