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Geometric and Harmonic Mean Calculator

Compute geometric, harmonic and root mean square of positive numbers.

Inputs

Results

Arithmetic mean7.5
Geometric mean5.656854
Harmonic mean4.266667
Root mean square9.219544

Chart

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How to use the geometric and harmonic mean calculator

Compute geometric, harmonic and root mean square of positive numbers. Enter data values in the field above; the arithmetic mean, geometric mean, harmonic mean, root mean square are computed instantly and plotted on the chart so you can see how the answer changes.

Formula

Arithmetic mean = mean(d)
Geometric mean = geomean(d)
Harmonic mean = harmean(d)
Root mean square = rms(d)

Variables

  • d β€” Data values

Worked example

With data values = 2,4,8,16, the calculator gives arithmetic mean β‰ˆ 7.5; geometric mean β‰ˆ 5.656854; harmonic mean β‰ˆ 4.266667; root mean square β‰ˆ 9.219544.

Frequently asked questions

What is the formula for the geometric and harmonic mean calculation?

Arithmetic mean = mean(d). Geometric mean = geomean(d). Harmonic mean = harmean(d). Root mean square = rms(d). Here d is data values.

What inputs do I need for the geometric and harmonic mean calculator?

You need data values. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.

How do I use this calculator?

Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.

Is the result exact?

Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.

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