Question

For the data set with even number of terms, the median is the of the two values of the data set, when arranged in ascending order.

Answer 1

Consider the following set which depicts the number of pets that a group of $6$ friends have,


The data is recorded for $6$ persons.

Arrange the data in the ascending order.


Observe the middle two numbers and find their mean.

The middle two numbers are $2$ and $3$, therefore their mean is

$\begin{array}{cc}\text{Mean}& =\frac{2+3}{2}\\ & =\frac{5}{2}\\ & =2.5\end{array}$

Thus, the median of the given data set is $2.5$.

Hence, it can be concluded that for even number of values in the data set, the median is the mean of the middle two numbers when arranged in ascending order.