Mathematics
Calculate the mean of the following distribution :
| Class interval | Frequency |
|---|---|
| 0 - 10 | 8 |
| 10 - 20 | 5 |
| 20 - 30 | 12 |
| 30 - 40 | 35 |
| 40 - 50 | 24 |
| 50 - 60 | 16 |
Measures of Central Tendency
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Answer
We construct the following table:
| Classes | Class mark (yi) | Frequency (fi) | fiyi |
|---|---|---|---|
| 0 - 10 | 5 | 8 | 40 |
| 10 - 20 | 15 | 5 | 75 |
| 20 - 30 | 25 | 12 | 300 |
| 30 - 40 | 35 | 35 | 1225 |
| 40 - 50 | 45 | 24 | 1080 |
| 50 - 60 | 55 | 16 | 880 |
| Total | 100 | 3600 |
∴ Mean = = 36.
Hence, mean of the following distribution is 36.
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