Harmonic mean of $$$8$$$, $$$19$$$

Find the harmonic mean of $$$8$$$, $$$19$$$.

The harmonic mean of data is given by the formula $$$H = \frac{n}{\sum_{i=1}^{n} \frac{1}{x_{i}}}$$$, 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 sum of the reciprocals of the values is $$$\frac{1}{8} + \frac{1}{19} = \frac{27}{152}$$$.

Therefore, the harmonic mean is $$$H = \frac{2}{\frac{27}{152}} = \frac{304}{27}$$$.

The harmonic mean is $$$\frac{304}{27}\approx 11.259259259259259$$$A.