What is the Harmonic Mean Calculator?
Calculate the harmonic mean — the right average for rates and speeds. Paste a list of numbers from any spreadsheet or document and get descriptive statistics instantly. Each statistics calculator also charts your data so outliers stand out.
How to use the Harmonic Mean Calculator
- Paste or type your numbers into the box (a sample is pre-filled so you can see how it works).
- Results update automatically as you type; you can also press Calculate.
- Read the output: harmonic mean, arithmetic mean.
- Use the 📊 chart to see the result visually, then copy or share it.
Formula and method
Worked example
With the sample input, the Harmonic Mean Calculator returns harmonic mean: 48; arithmetic mean: 50.
Tips for better results
- Use sample standard deviation (n − 1) for samples and population (n) for complete data sets.
- Check the chart for outliers before trusting a mean.
- Quartiles here use the inclusive interpolation method, matching Excel’s QUARTILE.INC.
Frequently asked questions
What does the Harmonic Mean Calculator do?
Calculate the harmonic mean — the right average for rates and speeds.
How is it calculated?
The Harmonic Mean Calculator uses this method: H = n ÷ Σ(1/x).
Can you show an example?
With the sample input, the Harmonic Mean Calculator returns harmonic mean: 48; arithmetic mean: 50.
Is the Harmonic Mean Calculator accurate?
Yes. It uses standard formulas and exact constants, and the results are verified by our automated test suite. Values are displayed to up to 12 significant digits.
Is this tool free and private?
Yes — the Harmonic Mean Calculator is completely free with no sign-up, and it runs entirely in your browser, so the values you enter are never uploaded to our servers.
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