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Harmonic Mean given Arithmetic and Geometric Means Formula

GoHarmonic Mean of Two Numbers Formula

GoHarmonic Mean of N Numbers 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{{GM}^{2}}{AM}

HM - Harmonic Mean?GM - Geometric Mean?AM - Arithmetic Mean?

Harmonic Mean given Arithmetic and Geometric Means Example

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Here is how the Harmonic Mean given Arithmetic and Geometric Means equation looks like with Values.

Here is how the Harmonic Mean given Arithmetic and Geometric Means equation looks like with Units.

Here is how the Harmonic Mean given Arithmetic and Geometric Means equation looks like.

48.02 = \frac{49^{2}}{50}

48.02 = \frac{49^{2}}{50}

48.02 = \frac{49^{2}}{50}

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Harmonic Mean given Arithmetic and Geometric Means Solution

Follow our step by step solution on how to calculate Harmonic Mean given Arithmetic and Geometric Means?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

HM = \frac{49^{2}}{50}

Next Step Prepare to Evaluate

∴

HM = \frac{49^{2}}{50}

LAST Step Evaluate

∴

HM = 48.02

Harmonic Mean given Arithmetic and Geometric Means 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

Geometric Mean

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

Symbol: GM

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Geometric Mean

Arithmetic Mean

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

Symbol: AM

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Arithmetic Mean

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 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}}

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 given Arithmetic and Geometric Means?

Harmonic Mean given Arithmetic and Geometric Means evaluator uses Harmonic Mean = (Geometric Mean^2)/Arithmetic Mean to evaluate the Harmonic Mean, Harmonic Mean given Arithmetic and Geometric Means formula is defined as the average value or mean which signifies the central tendency of the set of numbers by finding the reciprocal of their values, and calculated using the arithmetic mean and geometric mean of them. Harmonic Mean is denoted by HM symbol.

How to evaluate Harmonic Mean given Arithmetic and Geometric Means using this online evaluator? To use this online evaluator for Harmonic Mean given Arithmetic and Geometric Means, enter Geometric Mean (GM) & Arithmetic Mean (AM) and hit the calculate button.

FAQs on Harmonic Mean given Arithmetic and Geometric Means

What is the formula to find Harmonic Mean given Arithmetic and Geometric Means?

The formula of Harmonic Mean given Arithmetic and Geometric Means is expressed as Harmonic Mean = (Geometric Mean^2)/Arithmetic Mean. Here is an example- 48.02 = (49^2)/50.

How to calculate Harmonic Mean given Arithmetic and Geometric Means?

With Geometric Mean (GM) & Arithmetic Mean (AM) we can find Harmonic Mean given Arithmetic and Geometric Means using the formula - Harmonic Mean = (Geometric Mean^2)/Arithmetic Mean.

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=Total Numbers/Harmonic Sum of Numbers
Harmonic Mean=3/(1/First Number+1/Second Number+1/Third Number)

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Harmonic Mean given Arithmetic and Geometric Means Formula

​GoHarmonic Mean of Two Numbers Formula

​GoHarmonic Mean of N Numbers Formula

Harmonic Mean given Arithmetic and Geometric Means Example

Harmonic Mean given Arithmetic and Geometric Means Solution

Harmonic Mean given Arithmetic and Geometric Means Formula Elements

Other Formulas to find Harmonic Mean

How to Evaluate Harmonic Mean given Arithmetic and Geometric Means?

FAQs on Harmonic Mean given Arithmetic and Geometric Means

Variable Name

GoHarmonic Mean of Two Numbers Formula

GoHarmonic Mean of N Numbers Formula