Geometric Mean Calculator
Average growth rate across multiple periods.
Enter your values
Enter the values (or growth factors like 1.08) you are working with.
Results update instantly as you type — no submit needed. Your values are remembered on this device, and the shareable link reopens the calculator with exactly these numbers.
- Geometric mean
- 1.045562
- As a growth rate
- 4.556%
- Arithmetic mean
- 1.0475
- Total product
- 1.195085
- Periods
- 4
Quick answer
The geometric mean is the nth root of the product of n values — the average that respects compounding, which is why it is used for investment returns.
G = (x₁·x₂·…·xₙ)^(1/n)
At a glance
| What it does | Average growth rate across multiple periods. |
|---|---|
| Category | Math |
| Inputs needed | Values (or growth factors like 1.08) |
| Main output | Geometric mean |
| Formula | G = (x₁·x₂·…·xₙ)^(1/n) |
| Cost | Free — no sign-up, no download |
How to use the Geometric Mean Calculator
- 1Enter each period's growth factor (1.08 for +8%, 0.95 for −5%).
- 2Read the geometric mean and its equivalent percentage growth.
- 3Use that rate as the compound annual growth rate for the whole span.
Inputs explained
- Values (or growth factors like 1.08)
- Enter the values (or growth factors like 1.08) you are working with.
Worked example
Using the values the calculator loads with:
Inputs
- Values (or growth factors like 1.08)1.08, 0.95, 1.12, 1.04
Results
- Geometric mean1.045562
- As a growth rate4.556%
- Arithmetic mean1.0475
- Total product1.195085
- Periods4
Frequently asked questions
Why not just average the percentages?
Because gains and losses compound: +50% then −50% leaves you down 25%, but the arithmetic mean says 0%.
Can I use negative numbers?
Not directly. Convert returns to growth factors (1 + r) first, which are always positive for real investments.
What do I need to enter into the Geometric Mean Calculator?
Just 1 value: values (or growth factors like 1.08). Every field starts with a realistic example, so you can change one number at a time and watch the result update instantly.
How does the Geometric Mean Calculator work out the answer?
The geometric mean is the nth root of the product of n values — the average that respects compounding, which is why it is used for investment returns. It applies the formula G = (x₁·x₂·…·xₙ)^(1/n) and shows the working so you can check each step by hand.
Is the Geometric Mean Calculator free, and do I need an account?
It is completely free with no sign-up, no download and no usage limit. Everything is calculated in your browser, so the numbers you type never leave your device.
Results are estimates for general information. For medical, legal, structural or financial decisions, confirm with a qualified professional.