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Geometric Mean Calculator

Calculate the geometric mean of any set of numbers.

Geometric Mean Calculator
Enter numbers separated by comma [example1], space [example2] or line break [example3]:
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About Geometric Mean Calculator

The Geometric Mean Calculator is used to calculate the geometric mean (GM) of a set of numbers (Step by Step).

Geometric Mean

The geometric mean is the nth root of the product of n values. It is especially useful for rates and ratios (for example, growth rates) and for combining numbers that span different orders of magnitude. For real‑valued data, all inputs should be non‑negative; if any value is 0, then GM = 0; if any value is negative, the real geometric mean is undefined.

Formula

The geometric mean can be computed in either of the following equivalent ways:

GM = (x1 × x2 × … × xN)1/N

GM = exp((1/N) × Σ ln xi)

Where:
GM = geometric mean
x1, …, xN = the input values (non‑negative real numbers; if any xi=0 then GM=0)
N = number of values

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