Question

A data has 25 observations (arranged in descending order). Which observation represents the median?

• A. ${12}^{th}$
• B. ${13}^{th}$
• C. ${14}^{th}$
• D. ${15}^{th}$

Answer 1

The correct option is B ${13}^{th}$

Median for a data set is the middle value of the set after arranging the set in ascending or descending order.

Let $n$ be the number of values in the data set which are arranged in the ascending or descending order.

If the data set contains even number of values then median is $\frac{n}{2}$

If the data set contains odd number of values then median is $\frac{n+1}{2}$

Given that the data has $25$ observations arranged in descending order. Therefore the median is $\frac{25+1}{2}=13$