# Harmonic Mean Calculator

Harmonic Mean Calculator

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## What is Harmonic Mean?

The Harmonic Mean is a type of average used to calculate the average of a set of numbers. It is calculated by taking the reciprocal of the sum of the reciprocals of the numbers in the set, and then taking the reciprocal of that sum. It is useful when dealing with ratios or rates, and is often used in statistics and engineering.

## What is Harmonic Mean Calculator?

A Harmonic Mean Calculator is a tool used to calculate the harmonic mean of a set of numbers. The harmonic mean is a type of average that is calculated by taking the reciprocal of the arithmetic mean of the reciprocals of the given numbers. It is used to calculate the average of rates, such as speed or growth rate.

## How to Calculate Harmonic Mean?

The harmonic mean is calculated by taking the reciprocal of the arithmetic mean of the reciprocals of the given numbers. To calculate the harmonic mean of a set of numbers, follow these steps: 1. Find the reciprocals of all the numbers in the set. 2. Calculate the arithmetic mean of the reciprocals. 3. Take the reciprocal of the arithmetic mean. For example, to calculate the harmonic mean of the numbers 4, 6, and 8, first find the reciprocals of each number: 4 → 1/4 6 → 1/6 8 → 1/8 Next, calculate the arithmetic mean of the reciprocals: (1/4 + 1/6 + 1/8) / 3 = 0.375 Finally, take the reciprocal of the arithmetic mean: 1 / 0.375 = 2.667 Therefore, the harmonic mean of 4, 6, and 8 is 2.667.

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