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Range Calculator

Calculate the range of any set of numbers instantly by finding the difference between the highest and lowest values in your data set.

Calculate the Range

Enter two or more numbers separated by commas, spaces, or line breaks.

Enter positive numbers, negative numbers, or decimal values. Separate each value with a comma, space, or new line.
Range Result
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What Is the Range in Mathematics?

In mathematics and statistics, the range is a measure that shows the difference between the largest and smallest values in a data set. It provides a simple way to understand how widely the numbers are spread.

To find the range, you identify the highest value and subtract the lowest value. The result represents the total spread of the data.

Range = Maximum Value − Minimum Value

How Does the Range Calculator Work?

This calculator automatically analyzes all the numbers you enter and finds the smallest and largest values. It then subtracts the minimum value from the maximum value to calculate the range.

  1. Enter all the numbers in your data set.
  2. The calculator identifies the smallest value.
  3. It identifies the largest value.
  4. The smallest value is subtracted from the largest value.
  5. The final difference is displayed as the range.

Range Formula

The mathematical formula for calculating the range is simple and can be used with any numerical data set.

Range = Highest Value − Lowest Value

For example, if the highest number is 25 and the lowest number is 5:

Range = 25 − 5 = 20

Range Calculation Examples

Example 1: Simple Numbers

5, 10, 15, 20, 25

The highest value is 25 and the lowest value is 5.

Range = 25 − 5 = 20

Example 2: Unsorted Numbers

18, 4, 32, 11, 25

The highest value is 32 and the lowest value is 4.

Range = 32 − 4 = 28

Example 3: Negative Numbers

-10, -5, 0, 8, 15

The highest value is 15 and the lowest value is -10.

Range = 15 − (-10) = 25

Why Is the Range Important?

The range provides a quick and easy way to understand the spread of numerical data. A larger range indicates that the values are more widely spread, while a smaller range means the values are closer together.

Range calculations are commonly used in statistics, education, finance, business analysis, research, science, and many other fields where understanding data variation is important.

Although the range is simple to calculate, it can be affected by extremely large or small values. For this reason, it is often used together with other statistical measurements such as the mean, median, mode, and standard deviation.

Frequently Asked Questions

The range is the difference between the largest and smallest values in a data set.
Find the highest number and subtract the lowest number from it. The result is the range.
Yes. The range can be calculated using negative numbers, positive numbers, and decimal values.
No. When calculated correctly by subtracting the minimum value from the maximum value, the range is always zero or positive.
If every value in the data set is the same, the highest and lowest values are equal, so the range is zero.
The range measures the difference between the highest and lowest values, while standard deviation measures how far values typically vary from the average.