Geometric mean of $$$4$$$, $$$7$$$

Find the geometric mean of $$$4$$$, $$$7$$$.

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 $$$\left(4\right)\cdot \left(7\right) = 28$$$.

Therefore, the geometric mean is $$$\sqrt{28} = 2 \sqrt{7}$$$.

The geometric mean is $$$2 \sqrt{7}\approx 5.291502622129181$$$A.