Question

find the median of the following 13,22,25,8,11,19,17,31,16,10​

Answer 1

$\Large Solution!!$

Arrange the given data in ascending order

A.O => 8, 10, 11, 13, 16, 17, 19, 22, 25, 31

Number of observations = 10 (even)

Median = $\frac{(\frac{n}{2})^{th}\;term+(\frac{n}{2}+1)^{th}\;term}{2}$

Median = $\frac{(\frac{10}{2})^{th}\;term+(\frac{10}{2}+1)^{th}\;term}{2}$

Median = $\frac{5^{th}\;term+6^{th}\;term}{2}$

Median = $\frac{16+17}{2}$

Median = $\frac{33}{2}$

Median = 16.5

$\sf \large More\;information!!$

$\sf Median(for\;odd)=(\frac{n+1}{2})^{th}\;term$

Answer 2

Therefore, the median is 11.