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Mean Calculator / Mean formula

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Mean formula

The arithmetic mean is a sum divided by a count. Two cousins — geometric and harmonic — show up on the result panel when they are defined.

Arithmetic mean

For values x1, …, xn, x̄ = (x1 + … + xn) / n. That is also the value that minimises the sum of squared deviations.

Geometric mean

If every xi > 0, G = (x1x2…xn)1/n, computed as exp( (ln x1 + … + ln xn) / n ). Use it for average growth factors.

Harmonic mean

If every xi > 0, H = n / (1/x1 + … + 1/xn). Use it for average speed when distances are equal, or other rate problems.

Sample variance

s² = Σ(xi − x̄)² / (n − 1). The calculator reports s, not the population σ with n in the denominator.

FAQ

Weighted mean?

Not on this page. Repeat observations or compute Σw x / Σw elsewhere.

Type a problem on the calculator — it runs in this browser and nothing is uploaded.

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