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Harmonic Mean of Three Numbers Calculator

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✖First Number is the first member in the set of numbers of which mean value is to be calculated.ⓘ First Number [n₁]			+10% -10%
✖Second Number is the second member in the set of numbers of which mean value is to be calculated.ⓘ Second Number [n₂]			+10% -10%
✖Third Number is the third member in the set of numbers of which mean value is to be calculated.ⓘ Third Number [n₃]			+10% -10%

✖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.ⓘ Harmonic Mean of Three Numbers [HM]

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Harmonic Mean of Three Numbers Solution

STEP 0: Pre-Calculation Summary

Formula Used

Harmonic Mean = 3/(1/First Number+1/Second Number+1/Third Number)
HM = 3/(1/n₁+1/n₂+1/n₃)
This formula uses 4 Variables

Variables Used

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.
First Number - First Number is the first member in the set of numbers of which mean value is to be calculated.
Second Number - Second Number is the second member in the set of numbers of which mean value is to be calculated.
Third Number - Third Number is the third member in the set of numbers of which mean value is to be calculated.

STEP 1: Convert Input(s) to Base Unit

First Number: 40 --> No Conversion Required
Second Number: 60 --> No Conversion Required
Third Number: 20 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

HM = 3/(1/n₁+1/n₂+1/n₃) --> 3/(1/40+1/60+1/20)

Evaluating ... ...

HM = 32.7272727272727

STEP 3: Convert Result to Output's Unit

32.7272727272727 --> No Conversion Required

FINAL ANSWER

32.7272727272727 ≈ 32.72727 <-- Harmonic Mean

(Calculation completed in 00.006 seconds)

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< Harmonic Mean Calculators

Harmonic Mean of Two Numbers

LaTeX Go Harmonic Mean = (2*First Number*Second Number)/(First Number+Second Number)

Harmonic Mean of Three Numbers

LaTeX Go Harmonic Mean = 3/(1/First Number+1/Second Number+1/Third Number)

Harmonic Mean of N Numbers

LaTeX Go Harmonic Mean = Total Numbers/Harmonic Sum of Numbers

Harmonic Mean given Arithmetic and Geometric Means

LaTeX Go Harmonic Mean = (Geometric Mean^2)/Arithmetic Mean

Harmonic Mean of Three Numbers Formula

LaTeX Go

Harmonic Mean = 3/(1/First Number+1/Second Number+1/Third Number)
HM = 3/(1/n₁+1/n₂+1/n₃)

What is Harmonic Mean?

Harmonic Mean is basically the average value or mean which signifies the central tendency of the set of numbers by finding the reciprocal of their values. It is calculated by dividing the total count of numbers by the harmonic sum or the sum of reciprocals of the numbers. In many situations involving rates and ratios, the Harmonic Mean provides the correct average.

How to Calculate Harmonic Mean of Three Numbers?

Harmonic Mean of Three Numbers calculator uses Harmonic Mean = 3/(1/First Number+1/Second Number+1/Third Number) to calculate the Harmonic Mean, The Harmonic Mean of Three Numbers formula is defined as the average value or mean which signifies the central tendency of the set of three numbers by finding the reciprocal of their values. Harmonic Mean is denoted by HM symbol.

How to calculate Harmonic Mean of Three Numbers using this online calculator? To use this online calculator for Harmonic Mean of Three Numbers, enter First Number (n₁), Second Number (n₂) & Third Number (n₃) and hit the calculate button. Here is how the Harmonic Mean of Three Numbers calculation can be explained with given input values -> 32.72727 = 3/(1/40+1/60+1/20).

FAQ

What is Harmonic Mean of Three Numbers?

The Harmonic Mean of Three Numbers formula is defined as the average value or mean which signifies the central tendency of the set of three numbers by finding the reciprocal of their values and is represented as HM = 3/(1/n₁+1/n₂+1/n₃) or Harmonic Mean = 3/(1/First Number+1/Second Number+1/Third Number). First Number is the first member in the set of numbers of which mean value is to be calculated, Second Number is the second member in the set of numbers of which mean value is to be calculated & Third Number is the third member in the set of numbers of which mean value is to be calculated.

How to calculate Harmonic Mean of Three Numbers?

The Harmonic Mean of Three Numbers formula is defined as the average value or mean which signifies the central tendency of the set of three numbers by finding the reciprocal of their values is calculated using Harmonic Mean = 3/(1/First Number+1/Second Number+1/Third Number). To calculate Harmonic Mean of Three Numbers, you need First Number (n₁), Second Number (n₂) & Third Number (n₃). With our tool, you need to enter the respective value for First Number, Second Number & Third Number and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Harmonic Mean?

In this formula, Harmonic Mean uses First Number, Second Number & Third Number. We can use 3 other way(s) to calculate the same, which is/are as follows -

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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