The median is a commonly used measure of central tendency in statistics. It is the middle number in a set of numbers when they are arranged in order of magnitude. It is also known as the average of the middle two numbers in a set of five or more. In this article, we will discuss how to calculate the median if the average (arithmetic mean) of a set of numbers is known.

## Calculating the Median

The median can be calculated by first finding the average of the set of numbers. The average is also known as the arithmetic mean, and it is calculated by adding up all the numbers in the set and dividing the sum by the number of numbers in the set. Once the average is found, the median can be determined by ordering the numbers from smallest to largest and finding the middle number. If the set has an even number of numbers, then the median is the average of the two middle numbers.

## Finding the Average of a Set of Numbers

Finding the average of a set of numbers is simple. First, add up all the numbers in the set. Then, divide the sum by the number of numbers in the set. For example, if the set of numbers is {2, 4, 6, 8}, the sum of the numbers is 20 and the number of numbers in the set is 4. Therefore, the average of the set is 20/4 or 5.

In conclusion, if the average (arithmetic mean) of a set of numbers is known, the median can be calculated by first finding the average and then ordering the numbers from smallest to largest and finding the middle number. If the set has an even number of numbers, then the median is the average of the two middle numbers. Understanding how to calculate the median is an important part of understanding statistics and data analysis.