Geometric mean of $$$5$$$, $$$13$$$

The calculator will find the geometric mean of $$$5$$$, $$$13$$$, with steps shown.

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Find the geometric mean of $$$5$$$, $$$13$$$.


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 $$$2$$$ points, $$$n = 2$$$.

The product of the values is $$$\left(5\right)\cdot \left(13\right) = 65$$$.

Therefore, the geometric mean is $$$\sqrt{65}$$$.


The geometric mean is $$$\sqrt{65}\approx 8.06225774829855$$$A.