## What you need to know

**Things to remember:**

- We find the median by putting our numbers in order and searching for the middle number.
- When the numbers are in order, crossing them off in pairs, one on each end, will help you find where the middle number is.

The median, like the mean, is a way of finding a statistical average. The median is the middle number in an ordered list. Lists aren’t always ordered though, so ordering is often our first step.

*Find the median of the following set of data*

**3 8 2 0 1 5 7**

** **

**Step 1: **Put the numbers in order.

*Note: **It doesn’t matter if you put them in order from biggest to smallest or smallest to biggest, but USUALLY we’d go from smallest to biggest.*

* *

**3 8 2 0 1 5 7**

**0 1 2 3 5 7 8**

** **

** **

**Step 2: **Cross off the outside numbers in pairs until you get to the middle.

**0 1 2 3 5 7 8**

**0 1 2 3 5 7 8**

**0 1 2 3 5 7 8**

**0 1 2 3 5 7 8**

The median is 3.

*Hint: **The median is useful if you have a number that doesn’t seem right, like if it is really big or small (this is called an outlier). For example, if you got a measurement of 500cm when measuring somebody, you wouldn’t want this to affect your average.*

Things get a little trickier if we have an even number of data.

* *

*Find the median of the following set of data*

**5 7 2 8**

** **

**Step 1: **Put the numbers in order.

**5 7 2 8**

**2 5 7 8**

**Step 2: **Cross off the outside numbers in pairs until you get to the middle.

**2 5 7 8**

**2 5 7 8**

**2 5 7 8**

Hmmmmm. We’ve got to the middle, but there isn’t anything there. Let’s go back one.

**2 5 7 8**

So, we have 5 and 7 in the middle together. To find a median, we have to find the mean of these two numbers.

5+7=12

12\div2=6

So, the median is 6!

## KS2 SATs Flash Cards

(39 Reviews) £8.99## Example Questions

**Question 1:** *Find the median of the following set of data*

**6 5 9 2 8**

**Step 1: **Put the numbers in order.

*Note: **It doesn’t matter if you put them in order from biggest to smallest or smallest to biggest, but USUALLY we’d go from smallest to biggest.*

* *

**6 5 9 2 8**

**2 5 6 8 9**

** **

**Step 2: **Cross off the outside numbers in pairs until you get to the middle.

**2 5 6 8 9**

**2 5 6 8 9**

**2 5 6 8 9**

The median is 6.

**Question 2:** *Find the median of the following set of data*

**2 8 4 1 10 6**

**Step 1: **Put the numbers in order.

*Note: **It doesn’t matter if you put them in order from biggest to smallest or smallest to biggest, but USUALLY we’d go from smallest to biggest.*

* *

**2 8 4 1 10 6**

**1 2 4 6 8 10**

** **

**Step 2: **Cross off the outside numbers in pairs until you get to the middle.

**1 2 4 6 8 10**

**1 2 4 6 8 10**

**1 2 4 6 8 10**

We now need to find the mean of 4 and 6.

4+6=10

10\div2=5

So, the median is 5!

## KS2 SATs Flash Cards

(39 Reviews) £8.99- All of the major KS2 Maths SATs topics covered
- Practice questions and answers on every topic

- Perfect for year 6 Maths SATs
- All exam boards e.g. AQA, OCR, Edexcel, WJEC.