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Question
The following table gives the weekly wages of workers in a factory.
| Weekly wages (Rs) | No. of workers |
| 50 – 55 | 5 |
| 55 – 60 | 20 |
| 60 – 65 | 10 |
| 65 – 70 | 10 |
| 70 – 75 | 9 |
| 75 – 80 | 6 |
| 80 – 85 | 12 |
| 85 – 90 | 8 |
Calculate the mean by using:
Direct Method
Solution
Direct Method
| Weekly wages (Rs) |
Mid-value xi |
No. of workers (fi) |
fixi |
| 50 – 55 | 52.5 | 5 | 262.5 |
| 55 – 60 | 57.5 | 20 | 1150.0 |
| 60 – 65 | 62.5 | 10 | 625.0 |
| 65 – 70 | 67.5 | 10 | 675.0 |
| 70 – 75 | 72.5 | 9 | 652.5 |
| 75 – 80 | 77.5 | 6 | 465.0 |
| 80 – 85 | 82.5 | 12 | 990.0 |
| 85 – 90 | 87.5 | 8 | 700.0 |
| Total | 80 | 5520.00 |
`barx = (f_ix_i)/(sumf)`
= `5520/80`
= 69
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