Geometric Mean Calculator
Compute the geometric mean of positive numbers.
Amortization schedule
| # | Payment | Principal | Interest | Balance |
|---|---|---|---|---|
Showing first 12 of months.
Growth over time
| Year | Invested | Value |
|---|---|---|
Introduction
Geometric Mean Calculator — Compute the geometric mean of positive numbers. Enter Dataset (comma-separated, positive numbers) to get an instant, accurate result.
Formula
Geometric mean = (x₁ × x₂ × … × xₙ)^(1/n), computed here via exp(Σln(x)/n). Requires all values to be positive.
Step-by-step
- Enter the Dataset (comma-separated, positive numbers).
- Click Calculate to see your result instantly.
Real-world example
Example: With Dataset (comma-separated, positive numbers) = 1, 2, 4, the Geometric Mean Calculator gives Geometric Mean: 2.
Frequently Asked Questions
When should I use geometric mean instead of arithmetic mean?
Geometric mean is appropriate for rates of change, growth rates, and ratios (like investment returns), where values multiply together rather than add.
Why must all values be positive?
The geometric mean involves taking a logarithm of each value, which is undefined for zero or negative numbers.
What inputs does the Geometric Mean Calculator need?
You'll need to provide: Dataset (comma-separated, positive numbers). All fields use sensible defaults, so you can see a working example immediately and then adjust the values to match your own numbers.
How accurate is the Geometric Mean Calculator?
The Geometric Mean Calculator applies the formula exactly as calculated — Geometric mean = (x₁ × x₂ × … × xₙ)^(1/n), computed here via exp(Σln(x)/n). Requires all values to be positive. — so results are precise for the inputs you provide. Accuracy depends on entering correct, realistic input values.
Is the Geometric Mean Calculator free to use?
Yes, the Geometric Mean Calculator is completely free, requires no signup, and runs instantly in your browser.
About the Geometric Mean Calculator
The Geometric Mean Calculator uses a real, verifiable formula — Geometric mean = (x₁ × x₂ × … × xₙ)^(1/n), computed here via exp(Σln(x)/n). Requires all values to be positive. — so results are accurate every time, not an approximation.