Number Set Range Calculator

Subtract the smallest number in a set from the largest to find its range.

How to use Number Set Range Calculator

1. Enter Number Set Values as matching lists where weights are used; separate numbers with commas, spaces, semicolons or new lines. 2. Keep all observations on one unit or scoring scale. 3. Select Calculate or press Enter, then read range. 4. Copy result copies the answer; Reset clears the form. Do not use thousands separators inside lists.

Why use this tool?

Describe the total span of a numeric set, including lists that contain negative numbers.

How the calculation works

Range = maximum observation − minimum observation. It uses the two extremes and does not describe the distribution between them. Entries are ordinary numbers. The result describes only the supplied list and makes no claim about a wider population. Results use up to six decimal places, or six significant digits in scientific notation for nonzero magnitudes below 0.000001. Calculations use browser floating-point arithmetic. Each list supports up to 20,000 numbers. Entry and result magnitudes must not exceed 9,007,199,254,740,991; unrepresentable variance or weighted products are rejected. General descriptive-statistics reference: https://www.itl.nist.gov/div898/handbook/eda/section3/eda356.htm. Weighted conventions are defined explicitly on this page.

Example

For number set 1,2,3,10, the range is 9.

Practical tip

Check whether the largest and smallest values are valid observations. One mistyped extreme can dominate the range.