What **averages **do you remember?

We might recall **mean **(the arithmetic average) or **median **(the middle number).

But there is also **mode**!

**Mode **is the most frequently occurring value or the most popular value.

Let's take the following data set of the number of siblings for example:

$0,1,0,2,1,1, 3,2$

We can see 1 occurs three times whereas 0, 2 and 3 occur only once or twice.

So 1 is the mode.

Let's now have a look at the favourite fruits of 8 people:

$apple,orange,orange,apple,apple,banana,banana, orange$

Both apple and orange occur the most number of times (three times).

So in this case, we have two modes: apple and orange.

We call sets that have two modes **bimodal**.

We can also have **no mode** if there is no number that appears more than once.

So mode is another type of average. But what about **range**?

**Range **is the difference between the biggest number and the smallest value:

**range = highest value - smallest value**

If we look back at that set of numbers of siblings:

$0,1,0,2,1,1, 3,2$

$The largest number is 3 and the smallest is 0.$

$So the range is 3 - 0 = 3$

The **range **is *not *an average. It is a **measure of spread**, i.e. how spread out the data is.

For example, the numbers of siblings is spread out over the 'distance' of 3.

Let's have a go at some questions!