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Harmonic Mean of Four 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{4}{\frac{1}{n 1} + \frac{1}{n 2} + \frac{1}{n 3} + \frac{1}{n 4}}

HM - Harmonic Mean?n₁ - First Number?n₂ - Second Number?n₃ - Third Number?n₄ - Fourth Number?

Harmonic Mean of Four Numbers Example

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

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

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

38.4 = \frac{4}{\frac{1}{40} + \frac{1}{60} + \frac{1}{20} + \frac{1}{80}}

38.4 = \frac{4}{\frac{1}{40} + \frac{1}{60} + \frac{1}{20} + \frac{1}{80}}

38.4 = \frac{4}{\frac{1}{40} + \frac{1}{60} + \frac{1}{20} + \frac{1}{80}}

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Harmonic Mean of Four Numbers Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

HM = \frac{4}{\frac{1}{40} + \frac{1}{60} + \frac{1}{20} + \frac{1}{80}}

Next Step Prepare to Evaluate

∴

HM = \frac{4}{\frac{1}{40} + \frac{1}{60} + \frac{1}{20} + \frac{1}{80}}

LAST Step Evaluate

∴

HM = 38.4

Harmonic Mean of Four 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

First Number

First Number is the first member in the set of numbers of which mean value is to be calculated.

Symbol: n₁

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find First Number

Second Number

Second Number is the second member in the set of numbers of which mean value is to be calculated.

Symbol: n₂

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Second Number

Third Number

Third Number is the third member in the set of numbers of which mean value is to be calculated.

Symbol: n₃

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Third Number

Fourth Number

Fourth Number is the fourth member in the set of numbers of which mean value is to be calculated.

Symbol: n₄

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Fourth Number

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 N Numbers

HM = \frac{n}{S Harmonic}

Go Harmonic Mean of Three Numbers

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

How to Evaluate Harmonic Mean of Four Numbers?

Harmonic Mean of Four Numbers evaluator uses Harmonic Mean = 4/(1/First Number+1/Second Number+1/Third Number+1/Fourth Number) to evaluate the Harmonic Mean, The Harmonic Mean of Four Numbers formula is defined as the average value or mean which signifies the central tendency of the set of four numbers by finding the reciprocal of their values. Harmonic Mean is denoted by HM symbol.

How to evaluate Harmonic Mean of Four Numbers using this online evaluator? To use this online evaluator for Harmonic Mean of Four Numbers, enter First Number (n₁), Second Number (n₂), Third Number (n₃) & Fourth Number (n₄) and hit the calculate button.

FAQs on Harmonic Mean of Four Numbers

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

The formula of Harmonic Mean of Four Numbers is expressed as Harmonic Mean = 4/(1/First Number+1/Second Number+1/Third Number+1/Fourth Number). Here is an example- 38.4 = 4/(1/40+1/60+1/20+1/80).

How to calculate Harmonic Mean of Four Numbers?

With First Number (n₁), Second Number (n₂), Third Number (n₃) & Fourth Number (n₄) we can find Harmonic Mean of Four Numbers using the formula - Harmonic Mean = 4/(1/First Number+1/Second Number+1/Third Number+1/Fourth Number).

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=Total Numbers/Harmonic Sum of Numbers

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: Unit

Harmonic Mean of Four Numbers Formula

​GoHarmonic Mean of Two Numbers Formula

​GoHarmonic Mean given Arithmetic and Geometric Means Formula

Harmonic Mean of Four Numbers Example

Harmonic Mean of Four Numbers Solution

Harmonic Mean of Four Numbers Formula Elements

Other Formulas to find Harmonic Mean

How to Evaluate Harmonic Mean of Four Numbers?

FAQs on Harmonic Mean of Four Numbers

Variable Name

GoHarmonic Mean of Two Numbers Formula

GoHarmonic Mean given Arithmetic and Geometric Means Formula