The following data give the number of boys of a particular age in a class of 40 students.
Age (in years) | Frequency (fi) |
---|---|
15 | 3 |
16 | 8 |
17 | 9 |
18 | 11 |
19 | 6 |
20 | 3 |
Calculate the mean age of the students.
Age (in years) (xi) | Frequency (fi) | fi xi |
---|---|---|
15 | 3 | 45 |
16 | 8 | 128 |
17 | 9 | 153 |
18 | 11 | 198 |
19 | 6 | 114 |
20 | 3 | 60 |
Σ fi = 40 | Σ fi xi = 698 |
We know that
Mean age of the students = Σ fi xi/ Σ fi
By substituting the values
Mean age of the students = 698/40 = 17.45 years
Therefore, the mean age of the students is 17.45 years.
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