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CALCULATOR · Math

Average Calculator

Mean, median, mode and range for a list of numbers — plus both standard deviations.

Show formula
x̄ = Σx/n · s² = Σ(x−x̄)²/(n−1) · σ² = Σ(x−x̄)²/n

Inputs

1, 2 3; 4.5 …

Result

Your result appears here

Enter Numbers and the result fills in as you type.

How it works

  1. Paste numbers separated by commas, spaces or new lines.
  2. Read mean, median, mode(s) and range.
  3. Compare sample vs population standard deviation.

Frequently asked questions

Sample or population standard deviation?

Sample (n−1 denominator) treats your data as a sample of a larger population; population (n) treats it as everything. Both are shown.

Can there be several modes?

Yes — every value tied for the highest frequency is listed.

Examples

Mean of 4, 8, 15, 16, 23, 42
18 — the six values total 108.
Median of that same list
15.5. With an even count it is the midpoint of the two middle values, 15 and 16.
Range of that same list
38, from a minimum of 4 to a maximum of 42.

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