Math
Geometric mean of three values
Find the cube root of the product of three positive values; logarithms keep the geometric mean stable across different scales.
Calculators / Math / Harmonic mean of three values
Harmonic mean of three values calculator
Average three positive values through their reciprocals; this harmonic mean gives greater influence to the smaller values.
On this page
Harmonic mean4.91
Calculator controls
How to calculate
Average three positive values through their reciprocals; this harmonic mean gives greater influence to the smaller values.
Harmonic mean = 3/(1/a+1/b+1/c)
Worked example
Value 1: 3; Value 2: 6; Value 3: 9.
Harmonic mean: 4.91 .
Assumptions and limits
Average three positive values through their reciprocals; this harmonic mean gives greater influence to the smaller values. This tool gives equal weight to exactly three positive values. Use values with comparable units; rates may need different weighting.
Results are rounded for display; calculations use unrounded values. Read our calculation methodology.
Understanding the result
Average three positive values through their reciprocals; this harmonic mean gives greater influence to the smaller values.
When this tool is useful
Harmonic mean = 3/(1/a+1/b+1/c)
Understanding your inputs
| Input | What to enter |
|---|---|
| Value 1 | Enter a number of at least 1e-12 and no more than 1000000000000. |
| Value 2 | Enter a number of at least 1e-12 and no more than 1000000000000. |
| Value 3 | Enter a number of at least 1e-12 and no more than 1000000000000. |
Frequently asked questions
What assumptions does this calculation use?
Average three positive values through their reciprocals; this harmonic mean gives greater influence to the smaller values. This tool gives equal weight to exactly three positive values. Use values with comparable units; rates may need different weighting.
How is the result calculated?
Harmonic mean = 3/(1/a+1/b+1/c)