Harmonic Mean Table: Harmonic mean by First number
Reference table of harmonic mean for Harmonic Mean across a range of first number values — exact, engine-computed figures you can read off at a glance.
Harmonic Mean Calculator
Verified formula Updated Jun 2026 Private — runs on your device
Verified formula
Private
Harmonic mean
48.0000
For general information only — not financial, tax, legal or medical advice. Verify before you rely on it.
How to use the Harmonic Mean Calculator
The Harmonic Mean Calculator works out your harmonic mean in an instant. Enter first number and second number and the result updates as you type — it is free, needs no sign-up, and runs entirely in your browser so your figures stay private.
- Enter the first number.
- Enter the second number.
- Read off your harmonic mean — the calculator updates automatically, with no button to press.
Formula
The Harmonic Mean Calculator uses the formula:
Harmonic mean = 2 × First number × Second number ÷ (First number + Second number)
Worked example
For example, with first number of 40 and second number of 60, the harmonic mean is 48.0000.
| First number | 40 |
|---|---|
| Second number | 60 |
| Harmonic mean | 48.0000 |
|---|
Results are estimates for educational use, not professional advice.
Key terms explained
- Mean
- The average of a set of numbers — their sum divided by how many there are.
Frequently asked questions
It is the reciprocal of the average of reciprocals. For two numbers it is 2ab ÷ (a + b). For 40 and 60 it is 48.
Use it for averaging rates, such as average speed over equal distances, where the arithmetic mean would overstate the result.
The harmonic mean is always less than or equal to the arithmetic mean, and is more influenced by smaller values.
No. The harmonic mean uses reciprocals, so all inputs must be greater than zero.
The Harmonic Mean Calculator uses the formula: Harmonic mean = 2 × First number × Second number ÷ (First number + Second number). For example, with first number of 40 and second number of 60, the harmonic mean is 48.0000.
Enter the first number. Enter the second number. Read off your harmonic mean — the calculator updates automatically, with no button to press.
Related guides
How to Calculate Harmonic Mean: Formula, Steps & Examples
Learn how to calculate Harmonic Mean — the formula explained step by step, with worked examples and a free calculator to check your answer.