Mathematics
Using the assumed mean method, calculate the mean weekly wage from the following frequency distribution :
| Weekly wages (in ₹) | Number of workers |
|---|---|
| 950 | 24 |
| 1000 | 18 |
| 1050 | 13 |
| 1100 | 15 |
| 1250 | 20 |
| 1500 | 11 |
| 1600 | 9 |
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Answer
By using assumed mean method,
Let A = 1100
| Weekly wages in ₹ (xi) | Number of workers (fi) | di = xi - A | fidi |
|---|---|---|---|
| 950 | 24 | -150 | -3600 |
| 1000 | 18 | -100 | -1800 |
| 1050 | 13 | -50 | -650 |
| A = 1100 | 15 | 0 | 0 |
| 1250 | 20 | 150 | 3000 |
| 1500 | 11 | 400 | 4400 |
| 1600 | 9 | 500 | 4500 |
| Total | 110 | 5850 |
By formula,
Mean = A +
= 1100 +
= 1100 + 53.18
= 1153.18.
Hence, mean weekly wage is ₹ 1153.18.
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