Geometric mean of $$$19$$$, $$$28$$$
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Find the geometric mean of $$$19$$$, $$$28$$$.
Solution
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 $$$\left(19\right)\cdot \left(28\right) = 532$$$.
Therefore, the geometric mean is $$$\sqrt{532} = 2 \sqrt{133}$$$.
Answer
The geometric mean is $$$2 \sqrt{133}\approx 23.065125189341592$$$A.