Question

Check whether the mean and median of first five odd numbers are equal? or not?

Answer 1

First five odd numbers are :$1,3,5,7,9.$

Mean $=\frac{\text{sum of the terms}}{\text{no. of terms}}$

Mean $=\frac{1+3+5+7+9}{5}$

$=\frac{25}{5}=5$

median $={\left(\frac{n+1}{2}\right)}^{th}$

term where $n=$ no. of terms.

Median $={\left(\frac{5+1}{2}\right)}^{th}term=3rdterm$

$\therefore median=5$

$\therefore mean=median=5$