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The following table gives the number of boys of a particular age in a class of 40 students. Calculate the mean age of the students.
Age (in years): | 15 | 16 | 17 | 18 | 19 | 20 |
No. of students: | 3 | 8 | 10 | 10 | 5 | 4. |
Given:
The number of boys of a particular age in a class of 40 students.
To do:
We have to calculate the mean age of the students.
Solution:
Age (in years) ($x$) | No. of students ($f$) | $f \times\ x$ |
15 | 3 | 45 |
16 | 8 | 128 |
17 | 10 | 170 |
18 | 10 | 180 |
19 | 5 | 95 |
20 | 4 | 80 |
Total | 40 | 698 |
We know that,
Mean$=\frac{\sum fx}{\sum f}$
Therefore,
Mean $=\frac{698}{40}$
$=17.45$ years
The mean age of the students is $17.45$ years.
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