**Mean**, **Mode** and **Median** are all types of averages. The average of a set numbers is never bigger than the biggest number, or smaller than the smallest, but a number somewhere in between.

The **range** is **not** an average, but it is the difference between the largest and the smallest number in a set of numbers.

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## How to find the mean of a set of numbers

One type of average. You find the **mean** by adding all the numbers together and dividing by the number of numbers.

e.g. “*find the mean of the three numbers 2, 4 and 6*”

Adding 2, 4 and 6 gives 12

12 divided by 3 equals 4

therefore “*the mean of 2, 4 and 6 is 4*”

It is “** MEAN**” because you have to do the most work of all the averages!

## How to find the median of a set of numbers

One type of average. You find the **meDian** of a set of numbers by first putting the numbers in numerical order, and then find the number in the mi**DD**le of that set.

e.g. “*find the median of 1, 5 and 9*”

The numbers are already in numerical order: 1, 5, 9

The middle number is 5.

therefore “*the median of 1, 5 and 9 is 5*”

e.g. “*find the median of 5, 2, 4 and 8*”

Put the numbers into numerical order: 2, 4, 5, 8

There are two middle numbers: 4 and 5, so find the number that is halfway between 4 and 5

The number that is halfway between 4 and 5 is 4.5.

therefore “*the median of 5, 2, 4 and 8 is 4.5*”

## How to find the mode of a set of numbers

One type of average. You find the **MOde** of a set of numbers by looking for number that appears the **MO**st.

e.g. “*find the mode of the numbers 3, 6, 3, 9, 3*”

There are three 3s, one 6 and one 9, so the number 3 appears the most.

therefore “*the mode of the numbers 3, 6, 3, 9, 3 is 3*”

## How to find the range of a set of numbers

The **range** is **not** an average, but it is the difference between the largest and the smallest number in a set of numbers. You subtract the smallest number from the largest to find the range.

e.g. “*find the range of the numbers 1, 2, 5, 4, 9 and 7*”

The largest number is 9 and the smallest is 1.

9 minus 1 is 8

therefore “*the range of the numbers 1, 2, 5, 4, 9 and 7 is 8*”

## Printable revision guide on How to find the mean, median, mode and range

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