Harmonic mean of $$$4$$$, $$$19$$$

Find the harmonic mean of $$$4$$$, $$$19$$$.

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 $$$\frac{1}{4} + \frac{1}{19} = \frac{23}{76}$$$.

Therefore, the harmonic mean is $$$H = \frac{2}{\frac{23}{76}} = \frac{152}{23}$$$.

The harmonic mean is $$$\frac{152}{23}\approx 6.608695652173913$$$A.