Harmonic mean of $$$11$$$, $$$15$$$

The calculator will find the harmonic mean of $$$11$$$, $$$15$$$, with steps shown.

Related calculators: Average Calculator, Geometric Mean Calculator


If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please write it in the comments below.

Your Input

Find the harmonic mean of $$$11$$$, $$$15$$$.


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 $$$\frac{1}{11} + \frac{1}{15} = \frac{26}{165}$$$.

Therefore, the harmonic mean is $$$H = \frac{2}{\frac{26}{165}} = \frac{165}{13}$$$.


The harmonic mean is $$$\frac{165}{13}\approx 12.692307692307692$$$A.