Range Calculator

The range is the simplest measure of spread: the gap between the largest and smallest values.

Range of a list

Separate numbers with commas, spaces or new lines.

Range22
Minimum
9
Maximum
31
Count
6
Interquartile range (Q3 − Q1)
11

Working

  1. Range = maximum − minimum = 31 − 9 = 22

Formula

range = maximum − minimum

Worked example

Range of 14, 22, 9, 31, 17, 25

  1. Largest value: 31
  2. Smallest value: 9
  3. 31 − 9 = 22

The range is 22.

Range vs interquartile range

Because the range depends only on the two most extreme values, a single unusual reading can make it very large. The interquartile range (IQR = Q3 − Q1) measures the spread of the middle half of the data and ignores the extremes, so it is a steadier guide. A common rule flags values more than 1.5 × IQR below Q1 or above Q3 as possible outliers.

Everyday uses

  • The spread of temperatures over a week.
  • The difference between the highest and lowest quotes you received.
  • Checking the consistency of repeated measurements.