# Range

Jakob Jenkov |

The *range* of a data set is calculated as the difference between the highest and the lowest value in
the data set. The range of a data set thus describes how wide the interval is within which the values of the
data set falls.

Using a functional notation the formal definition of range is:

range(data) = max(data) - min(data)

## Range Example

To see how to calculate the range of a data set, look at this example data set:

1, 2, 3, 3, 3, 2, 4, 8, 1, 8, 3, 9, 3

The highest value in this data set is 9 and the lowest value is 1. The range is thus defined as:

Using the functional notation from above, range would be calculated like this:

range(data) = max(data) - min(data) range(data) = 9 - 1 range(data) = 8

The range of the example data set is thus 8.

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Jakob Jenkov |