Calculate the geometric mean of a list of positive numbers.
| Geometric mean | – |
Use this calculator for growth factors, returns that compound, or any set of positive ratios where the arithmetic mean would overstate a typical factor. The geometric mean of 2, 8, 32 is 8, because 2 × 8 × 32 = 8³.
The calculation is: gmean = exp( (ln x₁ + … + ln xₙ) / n ), which equals (x₁ × … × xₙ)^(1/n). All values must be strictly positive; zeros and negatives are rejected. Separate numbers with commas, semicolons, or spaces.
Values: Positive numbers, for example 2, 8, 32.
Geometric mean: The nth root of the product.
Related calculators