Statistics
Range Calculator
Find the range of any set of numbers instantly. The range is the difference between the highest and lowest values in a data set.
Range
18
How it works
Sort the values
Sorted: 3, 5, 8, 12, 21.
Calculate the range
Range = largest − smallest = 21 − 3 = 18.
Result:18
Range
The highest value in the data set
The lowest value in the data set
Example substitution
For {12, 5, 8, 21, 3}: range = 21 − 3 = 18.
Worked examples
Find the range of test scores: 45, 72, 38, 91, 60, 55.
- 1Sort the values: 38, 45, 55, 60, 72, 91
- 2Identify largest and smallest: Largest = 91, Smallest = 38
- 3Calculate range: 91 − 38 = 53
Answer: Range = 53
Frequently asked questions
What is the range in statistics?+
The range is the difference between the largest and smallest values in a dataset: range = max − min.
What is the range of 3, 7, 2, 9, 4?+
Max = 9, min = 2, range = 9 − 2 = 7.
Why is the range useful?+
The range gives a quick measure of how spread out the data is. However, it is affected by extreme values (outliers).
What is the interquartile range?+
The IQR is the range of the middle 50% of the data: IQR = Q3 − Q1. It is less affected by outliers than the full range.