​Find the median age, given the ages of 10 persons (in years) are as follows:

22, 23.5, 26, 22.5, 24, 26, 23, 24.5, 25, 21

Correct option is B

Given:

22, 23.5, 26, 22.5, 24, 26, 23, 24.5, 25, 21

Formula Used:

Median if n is odd =$$\frac{n+1}{2}^{th} value$$​​

If n is even = $$\frac{\left(\frac{n}{2}\right)^{th} value + \left(\frac{n}{2}+1\right)^{th} value}{2}$$​​

Solution:

Arranging the data in ascending order: 21,22,22.5,23,23.5,24,24.5,25,26,26

Here the number of students is 10 hence n = 10

Median =$$\frac{\left(\frac{10}{2}\right)^{th} value + \left(\frac{10}{2}+1\right)^{th} value}{2}$$​​

​$$= \frac{5^{th} value + 6^{th} value}{2}$$​​

​$$= \frac{23.5+ 24}{2}$$​​

​$$=\frac{47.5}{2}$$​​

= 23.75