Mean, Median, Mode and Range Calculator

Paste a list to see the four summaries taught together in school: mean, median, mode and range.

How it works

Mean is the arithmetic average. Median is the middle of the sorted list (or the average of the two central values when n is even). Mode is the most common value; if every value appears once there is no unique mode.

Range is the largest minus the smallest. This page does not compute variance — use standard deviation or the full statistics summary for that.

Formula

Mean = Σx / n
Median = middle of the sorted list
Mode = most frequent value
Range = max − min

Worked examples

An odd-sized list
1, 2, 3 → mean 2, median 2, range 2, no unique mode
A mode
1, 2, 2, 3 → mode 2

Useful notes

Mean is sensitive to outliers; median is not.

FAQ

When is the median better than the mean?: When a few extreme values would pull the average. The median stays at the middle of the ordered list.
Can there be more than one mode?: Yes. If two values tie for most frequent, both are listed.
How is this different from the statistics calculator?: This page stops at the four school summaries. The statistics page also reports variance and both standard deviations.

Related tools

See all Statistics tools.