Statistics Calculator

Count, sum, mean, median, mode, range, variance and standard deviation for a list of numbers.

Equation used
Mean, Median, Mode, Range, Population/Sample Variance & Standard Deviation — standard descriptive-statistics formulas

Frequently Asked Questions

Why does this calculator show both Population and Sample variance/standard deviation?

They answer different questions. Population values treat your numbers as the entire group (divide by n); sample values treat your numbers as a subset used to estimate a larger group (divide by n−1). Showing both lets you pick the one that matches your situation without re-entering data.

What does it mean when Mode shows "None"?

Mode is "None" when every value in your list appears exactly once, so there's no single most-frequent value. If two or more values tie for the highest frequency, all of them are listed together.

How is Range different from Standard Deviation?

Range is just the gap between your highest and lowest value (Max − Min) — it only looks at the two extremes. Standard deviation accounts for every value's distance from the mean, so it's a more complete measure of how spread out the whole data set is.