Geometric mean of $$$5$$$, $$$14$$$

Find the geometric mean of $$$5$$$, $$$14$$$.

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 $$$\left(5\right)\cdot \left(14\right) = 70$$$.

Therefore, the geometric mean is $$$\sqrt{70}$$$.

The geometric mean is $$$\sqrt{70}\approx 8.366600265340755$$$A.