Harmonic Mean Calculator Online

The harmonic mean is one of the three Pythagorean averages mainly used for situations involving calculating the average rate. In this article, you will be able to obtain it using our online harmonic mean calculator.

Harmonic Mean Calculator


What is the harmonic mean?

The harmonic mean is a type of numerical average that is calculated by dividing the number of evaluated values by the sum of the reciprocals of each number:

harmonic mean calculator with steps

It is used in physics calculations to calculate the average velocity, density of alloys, electrical resistances, and optical equations; it is also used in finance to average the price/earnings ratio.

How to use the online harmonic mean calculator?

Our application has the same interface as most statistical calculators, such as the arithmetic mean calculator and the geometric mean calculator. However, in case you have not used the indicated tools, you must follow the following steps:

  • Select the option of your preference for the decimal separator and the data separator.
  • Enter the data to be used to calculate the harmonic mean. If there is an error in the data entry, a message will be displayed at the bottom. Avoid line breaks in the data entry.
  • Click on solve.
  • You will immediately see the harmonic mean and the details of the calculations performed.

We will see the detail with an example:

Harmonic Mean Calculation Example

What is the harmonic mean of 1, 5, 8, and 10?

Solution

Enter the values in the form:

harmonic average calculator

By clicking on the “Solve” button, we will see the following results:

harmonic mean calculator

You can share the exercise results with a colleague or save them to your file by clicking on the “Copy link to share results” button.

Final Reflection

As you can see in our harmonic mean calculator, the calculation procedure is more straightforward than it seems; therefore, from now on, you have no impediments to fulfill your duties on this subject faster and easier.

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