Harmonic Mean Calculator
Find the harmonic mean of positive numbers, useful when comparing suitable rates.
Result for the values shown.
Calculations run in your browser.
What to enter
| Input | Meaning and units |
|---|---|
| Numbers | Separate values with commas, spaces or line breaks. Use dots for decimals; at most 10,000 values. |
Understanding your result
These are descriptive results for the observations you entered, not proof of causation, significance or a particular population distribution.
Common mistakes
- Using nonpositive observations or applying this mean to a quantity for which its interpretation is inappropriate.
Check your calculation
- Try a small hand-checkable list; confirm the stated quartile/rank/denominator convention before comparing with another application.
Calculation checks, sources and review limits
What is the harmonic mean of these positive numbers?
Find the harmonic mean of positive numbers, useful when comparing suitable rates.
Common uses
- Find the harmonic mean of positive numbers, useful when comparing suitable rates.
How it works
n/sum(1/x) Lists accept commas, semicolons, spaces or line breaks as separators; use a dot for decimals. At most 10,000 observations are supported. Calculations use floating-point arithmetic; displayed numeric results have up to 12 significant digits.
Worked example
Enter Numbers: 2, 6. The result is Harmonic mean: 3.
FAQ
What is the harmonic mean of these positive numbers?
n/sum(1/x) Lists accept commas, semicolons, spaces or line breaks as separators; use a dot for decimals. At most 10,000 observations are supported. Calculations use floating-point arithmetic; displayed numeric results have up to 12 significant digits.
What assumptions and limits apply?
Inputs and results must stay within the stated supported ranges.