Harmonic Mean Calculator

Enter your values in the Harmonic Mean Calculator. Each value should be separated by a comma. Example is included below.

Values (each value separated by comma):

How to use the Harmonic Mean Calculator

Let's review an example in order to demonstrate how to use the Harmonic Mean calculator. Suppose that your goal is to derive the Harmonic Mean, given the values below:

4, 7, 9, 12, 15

Enter the values in the calculator, and then click on the 'Calculate Harmonic Mean' button:

Harmonic Mean Calculator

You would then get the Harmonic Mean of 7.64563:

Harmonic Mean

How to Manually Calculate the Harmonic Mean

You may use the following formula to manually calculate the Harmonic Mean:

                                     n     
Harmonic Mean  =   Σ(1/Xi)           

For example, let's say that you'd like to calculate the Harmonic Mean for the following values:

4, 7, 9, 12, 15

Plug the values in the formula, and you'll get the Harmonic Mean of 7.64563:

                                  n                                     5                            
Harmonic Mean = Σ(1/Xi) = (1/4) + (1/7) + (1/9) + (1/12) + (1/15) = 7.64563