Geometric mean of $$$19$$$, $$$24$$$

Find the geometric mean of $$$19$$$, $$$24$$$.

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 $$$\left(19\right)\cdot \left(24\right) = 456$$$.

Therefore, the geometric mean is $$$\sqrt{456} = 2 \sqrt{114}$$$.

The geometric mean is $$$2 \sqrt{114}\approx 21.354156504062622$$$A.