Calculate the mean, the median and the mode of the following distribution :

Age in years	No. of students
12	2
13	3
14	5
15	6
16	4
17	3
18	2

We construct the table as under :

Mean = $\dfrac{Σf$ixi}{Σf_i} = \dfrac{374}{25} = 14.96

Here, n (no. of observations) = 25, which is odd

$\therefore \text{Median} = \dfrac{n + 1}{2} \text{th observation} \\[1em] = \dfrac{25 + 1}{2} \\[1em] = \dfrac{26}{2} \\[1em] = 13 \text{th observation}.$

The age of observation from 11th to 16th = 15.

∴ Median = 15.

Highest no. of students are 15 years old.

∴ Mode = 15.

Hence, mean = 14.96, median = 15 and mode = 15.