Calculating your harmonic mean is straightforward once you know the Harmonic Mean formula and what each input means. This guide explains the method in plain language, walks through a manual calculation, and gives worked examples you can follow — then you can do it instantly with the Harmonic Mean Calculator.
What is Harmonic Mean?
The Harmonic Mean calculation tells you your harmonic mean from a few simple inputs. The figure you are solving for here is the harmonic mean.
The Harmonic Mean formula
The core formula is:
Harmonic mean = 2 × First number × Second number ÷ (First number + Second number)Here is what each input means:
- First number — a number. Example: 40.
- Second number — a number. Example: 60.
How to calculate it step by step
- Write down the first number (for example, 40).
- Write down the second number (for example, 60).
- Apply the formula above to get your harmonic mean.
- Double-check the result with the Harmonic Mean Calculator.
Worked examples
Example 1
| Input / Output | Value |
|---|---|
| First number | 40 |
| Second number | 60 |
| Harmonic mean | 48.0000 |
With first number of 40 and second number of 60, the harmonic mean works out to 48.0000.
Example 2
With first number of 80 and second number of 60, the harmonic mean works out to 68.5714.
| Result | Value |
|---|---|
| Harmonic mean | 68.5714 |
Example 3
With first number of 20 and second number of 60, the harmonic mean works out to 30.0000.
| Result | Value |
|---|---|
| Harmonic mean | 30.0000 |
Tips for an accurate result
- Keep your units consistent — mixing, say, months with years or grams with kilograms is the most common source of error.
- Round only at the very end. Rounding inputs early can shift the final answer noticeably.
- Re-run the numbers whenever an input changes, rather than estimating from an old result.
Prefer not to do the maths by hand? — the Harmonic Mean Calculator does it instantly, for free, with the formula and a worked example built in.
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