Harmonic Mean Vs Geometric Mean
Harmonic mean and Geometric mean are the measure of the central tendencies they are both Pythagorean mean and the basic difference between them is discussed in the table below,
Harmonic Mean | Geometric Mean |
---|---|
We can calculate the Harmonic mean by dividing the number of values by the sum of the reciprocal values. | We can calculate the Geometric mean by taking the nth root of the product of all the data values. |
The value of Harmonic Mean is the lowest among AM, GM, and HM | The value of Geometric Mean is lesser than the AM but greater than HM. |
The formula for HM of a, b is, HM = (2ab)/(a + b) | The formula for GM of a, b is, GM = √(ab) |
Example: Find the HM of 2, 4 HM = 2(2)(4)/(2+4) = 8/3 | Example: Find the GM of 2, 4 GM = √(2.4) = √(8) = 2√(2) |
Harmonic Mean
Harmonic Mean is the type of mean that is used when we have to find the average rate of change, it is the mean calculated by taking the reciprocal values of the given value and then dividing the number of terms by the sum of the reciprocal values. The harmonic mean is one of the Pythagorean mean and the other two Pythagorean mean are,
- Arithmetic Mean
- Geometric Mean
These means tell us about various parameters of the data set.
Harmonic Mean also denoted as HM is the mean calculated by taking the reciprocal of the given set. In this article, we will learn about HM, its formula, examples, and others in detail.