How to Solve for Range

By C.D. Crowder; Updated April 24, 2017

Range is the distance between the smallest and largest numbers in a data set (set of numerical values). When using a set of numbers, oftentimes you will be asked to find the range. All you need is a knowledge of basic math and you can find the range of a set of numbers.

Write down your set of numbers. As an example, we will use the set: 9, 8, 6, 10, 5, 4 and 13.

Order the numbers in ascending order (smallest to largest): 4, 5, 6, 8, 9, 10, 13.

Subtract the smallest number in the set from the largest number: 13 - 4.

Write down the result: 13 - 4 = 9. The range for this example is 9.


Always order the numbers before solving for range. Otherwise, you may overlook numbers needed in the calculation.

About the Author

C.D. Crowder has been a freelance writer on a variety of topics including but not limited to technology, education, music, relationships and pets since 2008. Crowder holds an A.A.S degree in networking and one in software development and continues to develop programs and websites in addition to writing.