# Harmonic Mean Calculator

The harmonic mean is defined as the average calculator that is calculated by dividing the number of values by the sum of the reciprocals of each value in the data series.

## What is Harmonic Mean Calculator?

'Harmonic Mean Calculator' is an online tool that helps to calculate the harmonic mean for the given numbers. Online Harmonic Mean Calculator helps you to calculate the harmonic mean for the given numbers in a few seconds.

## How to Use Harmonic Mean Calculator?

Please follow the steps below on how to use the calculator:

**Step 1:**Enter the numbers separated by a comma in the given input box.**Step 2:**Click on the**"Calculate"**button to find the harmonic mean for the given numbers.**Step 3:**Click on the**"Reset"**button to clear the field and enter the new values.

## How to Find Harmonic Mean Calculator?

The harmonic mean is defined as the ratio of the number of observations to the sum of the reciprocal of the given numbers. The harmonic mean formula is calculated using the formula:

** ****\(Harmonic \,\,mean = \frac{n}{\frac{1}{a} + \frac{1}{b} + \frac{1}{c}+....}\)**

Where 'n' is the total number of terms, a,b,c..are given data set numbers.

Let us see an example to understand briefly.

**Solved Example:**

Find the harmonic series for 2,5,6,8

**Solution:**

Given: number of terms(n) = 4

\(Harmonic \,\,mean = \frac{n}{\frac{1}{a} + \frac{1}{b} + \frac{1}{c}+....}\)

\(= \frac{4}{\frac{1}{2} + \frac{1}{5} + \frac{1}{6}+\frac{1}{8}}\)

= 4.033

Similarly, you can try the calculator to find the harmonic mean for the following data sets:

- {5, 7, 1, 9, 11}
- {11, 5, 9, 7, 12, 14, 17]