Harmonic mean of $$$8$$$, $$$14$$$

Find the harmonic mean of $$$8$$$, $$$14$$$.

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 $$$\frac{1}{8} + \frac{1}{14} = \frac{11}{56}$$$.

Therefore, the harmonic mean is $$$H = \frac{2}{\frac{11}{56}} = \frac{112}{11}$$$.

The harmonic mean is $$$\frac{112}{11}\approx 10.181818181818182$$$A.