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Arithmetic Mean given Geometric and Harmonic Means Calculator

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Arithmetic Mean Geometric Mean Harmonic 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.ⓘ Geometric Mean [GM]			+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 [HM]			+10% -10%

✖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.ⓘ Arithmetic Mean given Geometric and Harmonic Means [AM]

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Arithmetic Mean given Geometric and Harmonic Means Solution

STEP 0: Pre-Calculation Summary

Formula Used

Arithmetic Mean = (Geometric Mean^2)/Harmonic Mean
AM = (GM^2)/HM
This formula uses 3 Variables

Variables Used

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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Geometric Mean: 49 --> No Conversion Required
Harmonic Mean: 48 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

AM = (GM^2)/HM --> (49^2)/48

Evaluating ... ...

AM = 50.0208333333333

STEP 3: Convert Result to Output's Unit

50.0208333333333 --> No Conversion Required

FINAL ANSWER

50.0208333333333 ≈ 50.02083 <-- Arithmetic Mean

(Calculation completed in 00.004 seconds)

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Created by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

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Indian Institute of Information Technology (IIIT), Guwahati

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< Arithmetic Mean Calculators

Arithmetic Mean of Four Numbers

LaTeX Go Arithmetic Mean = (First Number+Second Number+Third Number+Fourth Number)/4

Arithmetic Mean of N Numbers

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

Arithmetic Mean given Geometric and Harmonic Means

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

Arithmetic Mean of Two Numbers

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

Arithmetic Mean given Geometric and Harmonic Means Formula

LaTeX Go

Arithmetic Mean = (Geometric Mean^2)/Harmonic Mean
AM = (GM^2)/HM

What is Arithmetic Mean?

Arithmetic Mean is basically the average value or mean which signifies the central tendency of the set of numbers by finding the sum of their values. It is calculated by dividing the sum of all the numbers in the set by the total number of elements in that set. In addition to mathematics and statistics, the Arithmetic Mean is frequently used in economics, anthropology, history, and almost every academic field to some extent. For example, per capita income is the arithmetic average income of a nation's population.

How to Calculate Arithmetic Mean given Geometric and Harmonic Means?

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

How to calculate Arithmetic Mean given Geometric and Harmonic Means using this online calculator? To use this online calculator for Arithmetic Mean given Geometric and Harmonic Means, enter Geometric Mean (GM) & Harmonic Mean (HM) and hit the calculate button. Here is how the Arithmetic Mean given Geometric and Harmonic Means calculation can be explained with given input values -> 50.02083 = (49^2)/48.

FAQ

What is Arithmetic Mean given Geometric and Harmonic Means?

Arithmetic Mean given Geometric and Harmonic Means formula is defined as the average value or mean which signifies the central tendency of the set of numbers by finding the sum of their values, and calculated using the geometric mean and harmonic mean of them and is represented as AM = (GM^2)/HM or Arithmetic Mean = (Geometric Mean^2)/Harmonic 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 & 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.

How to calculate Arithmetic Mean given Geometric and Harmonic Means?

Arithmetic Mean given Geometric and Harmonic Means formula is defined as the average value or mean which signifies the central tendency of the set of numbers by finding the sum of their values, and calculated using the geometric mean and harmonic mean of them is calculated using Arithmetic Mean = (Geometric Mean^2)/Harmonic Mean. To calculate Arithmetic Mean given Geometric and Harmonic Means, you need Geometric Mean (GM) & Harmonic Mean (HM). With our tool, you need to enter the respective value for Geometric Mean & Harmonic Mean 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 Arithmetic Mean?

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

Arithmetic Mean = (First Number+Second Number)/2
Arithmetic Mean = (First Number+Second Number+Third Number+Fourth Number)/4
Arithmetic Mean = Arithmetic Sum of Numbers/Total Numbers

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