Mathematics
The ages of 40 students are given in the following table :
| Age (in years) | Frequency |
|---|---|
| 12 | 2 |
| 13 | 4 |
| 14 | 6 |
| 15 | 9 |
| 16 | 8 |
| 17 | 7 |
| 18 | 4 |
Find the arithmetic mean.
Measures of Central Tendency
Answer
| Age (x) | Frequency (f) | fx |
|---|---|---|
| 12 | 2 | 24 |
| 13 | 4 | 52 |
| 14 | 6 | 84 |
| 15 | 9 | 135 |
| 16 | 8 | 128 |
| 17 | 7 | 119 |
| 18 | 4 | 72 |
| Total | Σf = 40 | Σfx = 614 |
We know that,
n = Σf = 40.
By formula,
Mean = = 15.35
Hence, arithmetic mean = 15.35
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