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Question
Find the mean of the following frequency distribution :
| Class | 25-35 | 35-45 | 45-55 | 55-65 | 65-75 |
| Frequency | 6 | 10 | 8 | 12 | 4 |
Solution
| Class interval | Xi | fi | fixi |
| 25-35 | 30 | 6 | 180 |
| 35-45 | 40 | 10 | 400 |
| 45-55 | 50 | 8 | 400 |
| 55-65 | 60 | 12 | 720 |
| 65-75 | 70 | 4 | 280 |
| Total | 40 | 1980 |
`barx = (Σf_iX_i)/(Σ"f")`
`barx = 1980/40`
`barx = 49.5`
∴ Mean = 49.5
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