Geometric Mean Calculator

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

Related calculators: Average (Arithmetic Mean) Calculator, Harmonic 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 $\left(6\right)\cdot \left(18\right)\cdot \left(3\right)\cdot \left(4\right) = 1296$.

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

The geometric mean is $6$A.