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.
Harmonic Mean Calculator
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 = n / (1/a + 1/b + 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 Examples on Harmonic Mean Calculator
Example 1:
Find the harmonic series for 2, 5, 6, 8 and verify it using the harmonic mean calculator.
Solution:
Given: number of terms(n) = 4
Harmonic Mean = n / (1/a + 1/b + 1/c + ....)
= 4 / (1/2 + 1/5 + 1/6 + 1/8)
= 4.033
Example 2:
Find the harmonic series for 2, 3, 4 and verify it using the harmonic mean calculator.
Solution:
Given: number of terms(n) = 3
Harmonic Mean = n / (1/a + 1/b + 1/c + ....)
= 3 / (1/2 + 1/3 + 1/4)
= 2.77
Example 3:
Find the harmonic series for 4, 9, 7, 1 and verify it using the harmonic mean calculator.
Solution:
Given: number of terms(n) = 4
Harmonic Mean = n / (1/a + 1/b + 1/c + ....)
= 4 / (1/4 + 1/9 + 1/7 + 1/1)
= 2.66
Similarly, you can try the harmonic mean calculator to find the harmonic mean for the following data sets:
- {5, 7, 1, 9, 11}
- {11, 5, 9, 7, 12, 14, 17]