# Median

If you place a set of numbers in order, the median number is the middle one. If there are two middle numbers, the median is the mean of those two numbers.

## Finding the median

Question

Find the median of each of the following sets of numbers:

a) b) a) Place these numbers in order: The middle number is . Therefore the median is .

b) Place these numbers in order: There are two middle numbers ( and ), so we find the mean of these two numbers. The median is therefore: Generally, when there are numbers, the median will be the number.

For example, if there are numbers, the median will be the number.

If there are numbers, the median will be the number.

This refers to the value halfway between the and numbers.

### Example

Question

Rachel records the number of goals scored by her five-a-side team in their first matches.

The results are shown in the frequency table below:

What is the median number of goals scored? matches were played, so the median will be the value. goals were scored in of the matches, and goal was scored in of the matches.

The value lies in the ' goal' category.

This is because both the and values are ‘ goal’.

Therefore, the median number of goals is .