Harmonic mean of $$$4$$$, $$$17$$$
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Find the harmonic mean of $$$4$$$, $$$17$$$.
Solution
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 $$$\frac{1}{4} + \frac{1}{17} = \frac{21}{68}$$$.
Therefore, the harmonic mean is $$$H = \frac{2}{\frac{21}{68}} = \frac{136}{21}$$$.
Answer
The harmonic mean is $$$\frac{136}{21}\approx 6.476190476190476$$$A.