Calculatorism

Average Calculator (Mean / Geometric / Harmonic)

Compute arithmetic, geometric and harmonic means of a number series.

Input Data

Numbers

Results

Arithmetic mean.
5
Geometric mean.
4.426728
Harmonic mean.
3.84
Number of values.
4
Explanatory note about the result.
n=4;算術=5,幾何=4.426728,調和=3.84

At a glance:Arithmetic = Σx/n; geometric = (∏x)^(1/n); harmonic = n/Σ(1/x). Complements mean and statistics calculators.

Formula

Arithmetic = Σx / n.

Geometric = (∏x)^(1/n).

Harmonic = n / Σ(1/x).

How to Use

  1. Enter comma-separated numbers.
  2. The tool returns the three means.

Case Studies

1,2,4

Arithmetic = 7/3 ≈ 2.33; geometric = 2; harmonic = 3/(1+0.5+0.25)=1.714.

FAQ

When use harmonic mean?

For rates/averages of ratios, e.g. average speed over equal distances.

Related Tools

References

Content review: Calculatorism Science Team. Results are for reference only; please refer to the relevant authorities for the official figures.

Found a problem with the results?

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