# Geometric Mean Calculator

For the given group of values, the calculator will find their geometric mean, with steps shown.

Related calculator: Average (Mean) Calculator

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Find the geometric mean of $$6$$$, $$18$$$, $$3$$$, $$4$$$.

## Solution

The geometric mean of data is given by the formula $$\left(\prod_{i=1}^{n} x_{i}\right)^{\frac{1}{n}}$$$, where $$n$$$ is the number of values and $$x_i, i=\overline{1..n}$$$are the values themselves. Since we have $$4$$$ points, $$n = 4$$$. The product of the values is $$\left(6\right)\cdot \left(18\right)\cdot \left(3\right)\cdot \left(4\right) = 1296$$$.