Geometric Mean Calculator
This calculator helps you compute the geometric mean of a set of positive numbers. It is widely used in statistics, finance, and science when dealing with percentages, ratios, or growth rates. Just enter your values to get the geometric mean instantly.
Calculate the Geometric Average of Numbers
Geometric Mean Formula
$$\text{Geometric Mean} = \sqrt[n]{x_1 \cdot x_2 \cdot \cdots \cdot x_n}$$
Explanation:
The geometric mean is the $$n$$-th root of the product of $$n$$ positive values. It is best used when values are multiplicative or represent growth over time.
Geometric Mean – Calculation Example
Values: 2, 8, 4
- Multiply values → 2 × 8 × 4 = 64
- Cube root → ³√64 = 4
Result: Geometric mean = 4
Geometric mean is ideal for averaging ratios, rates of return, or any data that changes multiplicatively. It’s commonly used in finance (compound interest), population studies, and geometry. Unlike arithmetic mean, it reduces the influence of extreme values.