Geometric mean of $$$5$$$, $$$7$$$

Find the geometric mean of $$$5$$$, $$$7$$$.

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 $$$\left(5\right)\cdot \left(7\right) = 35$$$.

Therefore, the geometric mean is $$$\sqrt{35}$$$.

The geometric mean is $$$\sqrt{35}\approx 5.916079783099616$$$A.