📐 Geometric Mean Calculator
Calculate the geometric mean of a set of positive numbers: (x₁ × x₂ × ... × xₙ)^(1/n).
What Is the Geometric Mean?
The geometric mean of n positive numbers is the nth root of their product: GM = (x₁ × x₂ × ... × xₙ)^(1/n). It is always less than or equal to the arithmetic mean (AM-GM inequality), with equality only when all values are equal.
When to Use Geometric Mean
The geometric mean is ideal for averaging rates of change, growth rates, and ratios. It is commonly used in finance (compound annual growth rate), biology (population growth), and any dataset involving multiplicative processes. Unlike the arithmetic mean, it is not disproportionately affected by very large values.
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