Question

The ages (in years) of $10$ teachers in a school are
$34,37,53,46,52,43,31,36,40,50$
Find the median age.

Answer 1

Ages (in years) of $10$ teachers in a school are given below: $34,37,53,46,52,43,31,36,40,50$

Arranging them in ascending order:

$31,34,36,37,40,43,46,50,52,53$

Number of terms, $N=10$

It is an even number.

Median $=\frac{1}{2}$[$\frac{N}{2}$th observation $+(\frac{N}{2}+1)$th observation]

Median $=\frac{1}{2}$[$5$th observation $+6$th observation]

Median $=\frac{1}{2}[40+43]$

Median $=41.5$

Hence, the median age is $41.5$ years.