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.

Range

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.