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Question
Find the mean of the following distribution:
| Class: | Frequency: |
| 3 – 5 | 55 |
| 5 – 7 | 10 |
| 7 – 9 | 10 |
| 9 – 11 | 7 |
| 11 – 13 | 8 |
Sum
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Solution
| Class | Frequency (f) |
Mid-Value (x) |
f × x |
| 3 – 5 | 5 | 4 | 20 |
| 5 – 7 | 10 | 6 | 60 |
| 7 – 9 | 10 | 8 | 80 |
| 9 – 11 | 7 | 10 | 70 |
| 11 – 13 | 8 | 12 | 96 |
| Σf = 40 | Σfx = 326 |
Mean = `(sumfx)/(sumf)`
= `326/40`
= 8.15
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