Harmonic mean of $$$5$$$, $$$7$$$
Related calculators: Average Calculator, Geometric Mean Calculator
Your Input
Find the harmonic mean of $$$5$$$, $$$7$$$.
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 $$$\frac{1}{5} + \frac{1}{7} = \frac{12}{35}$$$.
Therefore, the harmonic mean is $$$H = \frac{2}{\frac{12}{35}} = \frac{35}{6}$$$.
Answer
The harmonic mean is $$$\frac{35}{6}\approx 5.833333333333333$$$A.