# The Range (Statistics)

The Range is the difference between the lowest and highest values.

Example: In **{4, 6, 9, 3, 7}** the lowest value is 3, and the highest is 9.

So the range is 9 − 3 = **6**.

It is that simple!

But perhaps too simple ...

## The Range Can Be Misleading

The range can sometimes be misleading when there are extremely high or low values.

Example: In **{8, 11, 5, 9, 7, 6, 3616}**:

- the lowest value is 5,
- and the highest is 3616,

So the range is 3616 − 5 = **3611**.

The single value of 3616 makes the range large, but most values are around 10.

So we may be better off using Interquartile Range or Standard Deviation.

## Range of a Function

Range can **also** mean all the output values of a function, see Domain, Range and Codomain.

696, 740, 1468, 1469, 2159, 2160, 3064, 3065, 3798, 3799