When you have a whole load of information, it can be quite difficult to deal with.

For example, if I asked whether or not boys were taller than girls, you would have to do something to the data to be able to answer the question.

To do this we take **averages**.

**What is an average?**

An average is just one piece of information that represents all the other information in a data set.

There are** three **averages: mean, median and mode.

Each one has advantages and disadvantages.

In this worksheet, we are going to look at finding the **median.**

**How do we find the median?**

To find the median, we put all the data in order and find out what is in the middle.

**Example 1:**

Find the median of 2, 3, 5, 6, 1, 2, 3, 4, 5, 4, 6

**Step 1: Put all the data in order**

1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6

**Step 2: Find the number in the middle**

To do this, the easiest way is to cross off one from each end until we get to the middle.

~~1, 2, 2, 3, 3~~, 4, ~~4, 5, 5, 6, 6~~

This means that **the median is 4.**

**Example 2:**

Find the median of 51, 28, 42, 31, 43, 57

**Step 1: Put all the data in order**

28, 31, 42, 43, 51, 57

**Step 2: Find the number in the middle**

If we do what we did before, we don't get a number in the middle, we get two!

~~28, 31~~, 42, 43~~, 51, 57~~

If this happens, we find out the number halfway between these two numbers in the middle.

**Our median here is 42.5**

Question time!