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Harmonic Mean of N Numbers Formula

GoHarmonic Mean of Two Numbers Formula

GoHarmonic Mean given Arithmetic and Geometric Means Formula

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Harmonic Mean is the average value or mean which signifies the central tendency of the set of numbers by finding the reciprocal of their values. Check FAQs

HM = \frac{n}{S Harmonic}

HM - Harmonic Mean?n - Total Numbers?S_Harmonic - Harmonic Sum of Numbers?

Harmonic Mean of N Numbers Example

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Here is how the Harmonic Mean of N Numbers equation looks like with Values.

Here is how the Harmonic Mean of N Numbers equation looks like with Units.

Here is how the Harmonic Mean of N Numbers equation looks like.

125 = \frac{5}{0.04}

125 = \frac{5}{0.04}

125 = \frac{5}{0.04}

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Harmonic Mean of N Numbers Solution

Follow our step by step solution on how to calculate Harmonic Mean of N Numbers?

FIRST Step Consider the formula

HM = \frac{n}{S Harmonic}

Next Step Substitute values of Variables

∴

HM = \frac{5}{0.04}

Next Step Prepare to Evaluate

∴

HM = \frac{5}{0.04}

LAST Step Evaluate

∴

HM = 125

Harmonic Mean of N Numbers Formula Elements

Variables

Harmonic Mean

Harmonic Mean is the average value or mean which signifies the central tendency of the set of numbers by finding the reciprocal of their values.

Symbol: HM

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Harmonic Mean

Total Numbers

Total Numbers is the total count of numbers in the set of numbers of which mean value is to be calculated.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Total Numbers

Harmonic Sum of Numbers

Harmonic Sum of Numbers is the sum of reciprocals of the numbers in the set of numbers of which harmonic mean value is to be calculated.

Symbol: S_Harmonic

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Harmonic Sum of Numbers

Other Formulas to find Harmonic Mean

Go Harmonic Mean of Two Numbers

HM = \frac{2 \cdot n 1 \cdot n 2}{n 1 + n 2}

Go Harmonic Mean given Arithmetic and Geometric Means

HM = \frac{{GM}^{2}}{AM}

Go Harmonic Mean of Three Numbers

HM = \frac{3}{\frac{1}{n 1} + \frac{1}{n 2} + \frac{1}{n 3}}

Go Harmonic Mean of Four Numbers

HM = \frac{4}{\frac{1}{n 1} + \frac{1}{n 2} + \frac{1}{n 3} + \frac{1}{n 4}}

How to Evaluate Harmonic Mean of N Numbers?

Harmonic Mean of N Numbers evaluator uses Harmonic Mean = Total Numbers/Harmonic Sum of Numbers to evaluate the Harmonic Mean, Harmonic Mean of N Numbers formula is defined as the average value or mean which signifies the central tendency of the set of n numbers by finding the reciprocal of their values and calculated using the harmonic sum of them. Harmonic Mean is denoted by HM symbol.

How to evaluate Harmonic Mean of N Numbers using this online evaluator? To use this online evaluator for Harmonic Mean of N Numbers, enter Total Numbers (n) & Harmonic Sum of Numbers (S_Harmonic) and hit the calculate button.

FAQs on Harmonic Mean of N Numbers

What is the formula to find Harmonic Mean of N Numbers?

The formula of Harmonic Mean of N Numbers is expressed as Harmonic Mean = Total Numbers/Harmonic Sum of Numbers. Here is an example- 50 = 5/0.04.

How to calculate Harmonic Mean of N Numbers?

With Total Numbers (n) & Harmonic Sum of Numbers (S_Harmonic) we can find Harmonic Mean of N Numbers using the formula - Harmonic Mean = Total Numbers/Harmonic Sum of Numbers.

What are the other ways to Calculate Harmonic Mean?

Here are the different ways to Calculate Harmonic Mean-

Harmonic Mean=(2*First Number*Second Number)/(First Number+Second Number)
Harmonic Mean=(Geometric Mean^2)/Arithmetic Mean
Harmonic Mean=3/(1/First Number+1/Second Number+1/Third Number)

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: Unit

Harmonic Mean of N Numbers Formula

​GoHarmonic Mean of Two Numbers Formula

​GoHarmonic Mean given Arithmetic and Geometric Means Formula

Harmonic Mean of N Numbers Example

Harmonic Mean of N Numbers Solution

Harmonic Mean of N Numbers Formula Elements

Other Formulas to find Harmonic Mean

How to Evaluate Harmonic Mean of N Numbers?

FAQs on Harmonic Mean of N Numbers

Variable Name

GoHarmonic Mean of Two Numbers Formula

GoHarmonic Mean given Arithmetic and Geometric Means Formula