from a handpicked tutor in LIVE 1-to-1 classes

# How to find the median of an even set of numbers?

Median is the middle number in a sorted list of given numbers.

## Answer: The median of an even set of numbers (sorted in order) can be found by calculating the average of the two middle terms.

Let's go through the step-by-step process to understand median calculations.

**Explanation:**

Let's understand the median value.

The main problem in the valuation of the median arises, when the data set has an even number of terms. In an odd number of data set, there is a unique middle term and that is taken as the median of the data set. But in the case of an even number of terms, we mostly need to take two middle terms and find their average to find the ultimate median of the data set.

**Example:**

Let's see an example when two numbers are in the middle (even)

Find the median for the data set:

3, 5, 14, 9, 22, 14, 55, 61, 13, 12

Arranging the terms in ascending order:

3, 5, 9, 12, 13, 14, 14, 22, 55, 61

Now, since there are even (10) number of terms, we take out the two middle terms, i.e.,

5th term = 13 and 6th term = 14

Average of the two middle terms = (13 + 14) / 2 = 13.5

Thus, the median of this data set will be 13.5

Let's try the median calculator to find the median of the data set.

### Therefore, the median of an even set of numbers (sorted in order) can be found by calculating the average of the two middle terms.

visual curriculum