Mathematics
Using assumed mean method, calculate the mean.
| Class-interval | Frequency |
|---|---|
| 0-30 | 22 |
| 30-60 | 30 |
| 60-90 | 40 |
| 90-120 | 36 |
| 120-150 | 28 |
| 150-180 | 20 |
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Answer
| Class-interval | Frequency (f) | Class mark (x) | d = x - A | fd |
|---|---|---|---|---|
| 0-30 | 22 | 15 | -60 | -1320 |
| 30-60 | 30 | 45 | -30 | -900 |
| 60-90 | 40 | A = 75 | 0 | 0 |
| 90-120 | 36 | 105 | 30 | 1080 |
| 120-150 | 28 | 135 | 60 | 1680 |
| 150-180 | 20 | 165 | 90 | 1800 |
| Total | Σf = 176 | Σfd = 2340 |
By formula,
Mean = A +
= 75 +
= 75 + 13.30
= 88.30
Hence, mean = 88.30
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