Geometric Mean Calculator

Compute the geometric mean of positive values, useful for growth rates and multiplicative processes.

Geometric Mean

8.320335

Product of Values576.0000

Geometric Mean vs Value 1

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Formula

## How to Compute the Geometric Mean ### Formula **Geometric Mean = (v1 * v2 * ... * vn)^(1/n)** Multiply all values together, then take the nth root where n is the number of values. The geometric mean is always less than or equal to the arithmetic mean for positive numbers, and it is particularly useful when comparing quantities that multiply together, such as annual investment returns.

Exemplo Resolvido

Find the geometric mean of 4, 9, and 16.

  1. 01Product = 4 * 9 * 16 = 576
  2. 02n = 3 values
  3. 03Geometric Mean = 576^(1/3) = cube root of 576 ≈ 8.3203