Skill: Calculate the range

Explanation and Free Practice Resources

The range of a finite data set is the difference between its greatest and least values, found by subtracting the minimum from the maximum; repeated values do not change the range, and the result is expressed in the same units as the data. It describes the total span of the observations and provides a basic measure of variability, but does not include interquartile range, variance, or other more advanced measures of spread.

Detailed Explanation: Calculate the range

The range tells how far apart the smallest and largest values are.

To find the range:

  1. Find the greatest value.
  2. Find the least value.
  3. Subtract the least value from the greatest value.
Range=greatest value−least value\text{Range}=\text{greatest value}-\text{least value}

Example: The numbers of pages read by five students are:

12, 18, 15, 18, 912,\ 18,\ 15,\ 18,\ 9
  • Greatest value: 1818
  • Least value: 99
  • Subtract:
18−9=918-9=9

The range is 99 pages. The repeated value 1818 does not change the range.

Learn by doing: Calculate the range

Click a topic below to practice the foundational skills you'll need, learn the steps, or master this skill

Your results

Practice with unlimited practice problems

Statistics - Solve for Range


    ?

    Download/Modify Free Grade 5 'Calculate the range' Worksheet

    Print this free 'Calculate the range' worksheet to practice this skill away from the computer. Click 'Modify' to easily customize this worksheet to your exact needs.

    Units Teaching This Skill

    These adaptive units introduce, teach, or reinforce this skill (Calculate the range) through scaffolded problems that grow in difficulty as concepts are understood.

    Explore More Grade 5 Math