Harmonic Mean Calculator

Harmonic Mean Calculator is a free online tool that displays the harmonic mean for the given set of numbers. BYJU’S online harmonic mean calculator tool performs the calculation faster, and it displays the harmonic mean in a fraction of seconds.

How to Use the Harmonic Mean Calculator? 

The procedure to use the harmonic mean calculator is as follows:

Step 1: Enter the numbers separated by a comma in the input field

Step 2: Now click the button “Solve” to get the harmonic mean

Step 3: Finally, the harmonic mean for the given numbers will be displayed in the output field

What is Meant by the Harmonic Mean?

In Mathematics, the progression is defined as the sequence of numbers that follows a specific pattern. The different types of progressions are arithmetic progression, geometric progression and the harmonic progression. In this, harmonic progression is the reciprocal of the arithmetic progression, which does not contain 0. The harmonic mean is considered as a type of numerical average. The harmonic mean of the given number is the ratio of the number of observations to the sum of the reciprocal of the given numbers. The harmonic mean formula is given as:

Harmonic Mean = n /[(1/a) + (1/b)+ (1/c)+(1/d)+….]

Where

“n” is the number of observations

a, b, c, d are the given set of numbers

For example, 2, 3, 4 are the given set of numbers, then the harmonic mean is calculated as:

Here n=3

Harmonic mean = 3 /[(1/2) + (1/3)+ (1/4)] 

Harmonic mean = 3/(0.5+ 0.33+0.25)

= 3/1.08

=2.77

Therefore, the harmonic mean is 2.77.