**Harmonic mean Tools:** Harmonic Mean Tools is an online statistics tool that
calculates Harmonic Mean by dividing the number of observations by the sum of their reciprocals. The
harmonic mean is one of the three Pythagorean means, and it is used in many circumstances where rates,
ratios, geometry, trigonometry, and other factors are taken into account.

Simply type the numbers you want to calculate the harmonic mean of into this harmonic mean calculator, and the result will show instantly. If you are unsure what the harmonic mean is or how to calculate it by hand, keep reading. We discuss the relationship between the arithmetic and harmonic means,as well as the calculation for the weighted harmonic mean,in addition to the harmonic average definition.

The Harmonic Mean Tools is an online application that may be used to get the harmonic mean of a set of numbers. In a few seconds, the Online Harmonic Mean Tools will calculate the harmonic mean for the given numbers. The harmonic mean is the ratio of the number of observations to the sum of the provided numbers' reciprocals. The formula for calculating the harmonic mean is as follows:

**Hormonic Mean = n/(1/a+1/b+1/c+...)**

Where,

The total number of terms is 'n'

The data set numbers are a,b,c...

Let's look at an example to help you understand.

Along with this free and handy online harmonic mean calculator. you can also try other math concepts calculator tools by visiting this trusted portal called arithmeticcalculator.com

**Question 1:** Find the harmonic series for 3,5,7,9.

**Solution:**

Consider the problem, we have

The number of terms(n) = 4

Harmonic?mean?= n/(1/3+1/5+1/7+1/9)

Harmonic?mean = 4/0.7873

Harmonic series = 5.08

Hence, the hormonic series are 5.08

**1. What is the best way to calculate the harmonic mean of ungrouped data?**

The average of a set of numbers is calculated using the harmonic mean. The total number of elements will be divided by the sum of the elements' reciprocals. It's calculated by multiplying the number of observations by the sum of their reciprocals.

**2. What does the term harmonicrefer to?**

Along with the well-known arithmetic mean and the geometric mean, the harmonic mean is one of the three most popular types of average.

**3. What is the formula for calculating harmonic mean?**

Add the reciprocals of the numbers in the set, divide the sum by n, then take the reciprocal of the result to obtain the harmonic mean of a collection of n numbers.

**4. What is the difference between arithmetic and harmonic means?**

The harmonic mean differs from the arithmetic mean in that the arithmetic mean is used when the values have the same units, but the harmonic mean is used when the values are ratios of two variables with distinct measurements.