Geometric Mean Calculator
Calculate the geometric mean of any set of numbers.
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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