Range

The range is the difference between the largest and smallest
values in a data set.

This definition is true for a sample as well as for a finite population of values.

Range = R = Largest Value - smallest value.

Let us see below some example on how to find range.

Example What is the range for the following sample values?

3 8 6 14 0 -4 0 12 -7 0 -10

Solution: We can arrange the data values so as to obtain the smallest and the largest values
in the data set. The ordered set is as follows:

-10 -7 -4 0 0 0 3 6 8 12 14

Thus, the sample range = R = 14 - (-10) = 24.