Mathematics
The ages of 40 students of a group are given below :
| Age (in years) | Number of students |
|---|---|
| 12 | 6 |
| 13 | 8 |
| 14 | 5 |
| 15 | 7 |
| 16 | 9 |
| 17 | 5 |
Find the mean age of the group.
Measures of Central Tendency
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Answer
| Age (x) | Number of students (f) | fx |
|---|---|---|
| 12 | 6 | 72 |
| 13 | 8 | 104 |
| 14 | 5 | 70 |
| 15 | 7 | 105 |
| 16 | 9 | 144 |
| 17 | 5 | 85 |
| Total | ∑ f = 40 | ∑ fx = 580 |
We know that,
n = ∑f = 40.
By formula,
Mean = = 14.5 years
Hence, mean age of the group is 14.5 years.
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