# Geometric Mean Calculator

## Calculate geometric mean step by step

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

Related calculators: Average Calculator, Harmonic Mean Calculator

### Your Input

**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 $$$\left(6\right)\cdot \left(18\right)\cdot \left(3\right)\cdot \left(4\right) = 1296$$$.

Therefore, the geometric mean is $$$\sqrt[4]{1296} = 6$$$.