Mathematics
Construct a cumulative frequency distribution table from the frequency table given below :
(i)
| Class Interval | Frequency |
|---|---|
| 0 - 8 | 9 |
| 8 - 16 | 13 |
| 16 - 24 | 12 |
| 24 - 32 | 7 |
| 32 - 40 | 15 |
(ii)
| Class Interval | Frequency |
|---|---|
| 1 - 10 | 12 |
| 11 - 20 | 18 |
| 21 - 30 | 23 |
| 31 - 40 | 15 |
| 41 - 50 | 10 |
Statistics
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Answer
(i) The cumulative frequency distribution table is:
| Class Interval | Frequency | Cumulative frequency |
|---|---|---|
| 0 - 8 | 9 | 9 |
| 8 - 16 | 13 | 9 + 13 = 22 |
| 16 - 24 | 12 | 9 + 13 + 12 = 34 |
| 24 - 32 | 7 | 9 + 13 + 12 + 7 = 41 |
| 32 - 40 | 15 | 9 + 13 + 12 + 7 + 15 = 56 |
(ii) The cumulative frequency distribution table is -
| Class Interval | Frequency | Cumulative frequency |
|---|---|---|
| 1 - 10 | 12 | 12 |
| 11 - 20 | 18 | 12 + 18 = 30 |
| 21 - 30 | 23 | 12 + 18 + 23 = 53 |
| 31 - 40 | 15 | 12 + 18 + 23 + 15 = 68 |
| 41 - 50 | 10 | 12 + 18 + 23 + 15 + 10 = 78 |
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