# The ages (in years) of 10 teachers in a school are:

Question:

The ages (in years) of 10 teachers in a school are:
32, 44, 53, 47, 37, 54, 34, 36, 40, 50.
Find the median age

Solution:

Arranging the ages (in years) in ascending order, we have:
32, 34, 36, 37, 40, 44, 47, 50, 53, 54
Here, n is 10, which is an even number.
Thus, we have:

Median $=$ Mean of $\left(\frac{n}{2}\right)$ th & $\left(\frac{n}{2}+1\right)$ th observations

Median age $=$ Mean of $\left(\frac{10}{2}\right)$ th & $\left(\frac{10}{2}+1\right)$ th observations

$=$ Mean of 5 th & 6 th observations

$=\frac{1}{2}(40+44)$

$=42$

Hence, the median age is 42 years.