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Geometric Mean given Arithmetic and Harmonic Means Calculator

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Geometric Mean Arithmetic Mean Harmonic 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.ⓘ Arithmetic Mean [AM]			+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%

✖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 given Arithmetic and Harmonic Means [GM]

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Geometric Mean given Arithmetic and Harmonic Means Solution

STEP 0: Pre-Calculation Summary

Formula Used

Geometric Mean = sqrt(Arithmetic Mean*Harmonic Mean)
GM = sqrt(AM*HM)
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
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.
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

Arithmetic Mean: 50 --> No Conversion Required
Harmonic Mean: 48 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

GM = sqrt(AM*HM) --> sqrt(50*48)

Evaluating ... ...

GM = 48.9897948556636

STEP 3: Convert Result to Output's Unit

48.9897948556636 --> No Conversion Required

FINAL ANSWER

48.9897948556636 ≈ 48.98979 <-- Geometric 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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Vellore Institute of Technology (VIT), Bhopal

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< Geometric Mean Calculators

Geometric Mean of Three Numbers

LaTeX Go Geometric Mean = (First Number*Second Number*Third Number)^(1/3)

Geometric Mean given Arithmetic and Harmonic Means

LaTeX Go Geometric Mean = sqrt(Arithmetic Mean*Harmonic Mean)

Geometric Mean of Two Numbers

LaTeX Go Geometric Mean = sqrt(First Number*Second Number)

Geometric Mean of N Numbers

LaTeX Go Geometric Mean = (Geometric Product of Numbers)^(1/Total Numbers)

Geometric Mean given Arithmetic and Harmonic Means Formula

LaTeX Go

Geometric Mean = sqrt(Arithmetic Mean*Harmonic Mean)
GM = sqrt(AM*HM)

What is Geometric Mean?

Geometric Mean is basically the average value or mean which signifies the central tendency of the set of numbers by finding the product of their values. If the set of numbers has total n numbers then the Geometric Mean is calculated by taking the nth root of the product of all the numbers. The Geometric Mean is often used for a set of numbers whose values are meant to be multiplied together or are exponential in nature, such as a set of growth figures: values of the human population or interest rates of a financial investment over time.

How to Calculate Geometric Mean given Arithmetic and Harmonic Means?

Geometric Mean given Arithmetic and Harmonic Means calculator uses Geometric Mean = sqrt(Arithmetic Mean*Harmonic Mean) to calculate the Geometric Mean, Geometric Mean given Arithmetic 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 product of their values, and calculated using the arithmetic mean and harmonic mean of them. Geometric Mean is denoted by GM symbol.

How to calculate Geometric Mean given Arithmetic and Harmonic Means using this online calculator? To use this online calculator for Geometric Mean given Arithmetic and Harmonic Means, enter Arithmetic Mean (AM) & Harmonic Mean (HM) and hit the calculate button. Here is how the Geometric Mean given Arithmetic and Harmonic Means calculation can be explained with given input values -> 48.98979 = sqrt(50*48).

FAQ

What is Geometric Mean given Arithmetic and Harmonic Means?

Geometric Mean given Arithmetic 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 product of their values, and calculated using the arithmetic mean and harmonic mean of them and is represented as GM = sqrt(AM*HM) or Geometric Mean = sqrt(Arithmetic Mean*Harmonic 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 & 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 Geometric Mean given Arithmetic and Harmonic Means?

Geometric Mean given Arithmetic 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 product of their values, and calculated using the arithmetic mean and harmonic mean of them is calculated using Geometric Mean = sqrt(Arithmetic Mean*Harmonic Mean). To calculate Geometric Mean given Arithmetic and Harmonic Means, you need Arithmetic Mean (AM) & Harmonic Mean (HM). With our tool, you need to enter the respective value for Arithmetic 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 Geometric Mean?

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

Geometric Mean = sqrt(First Number*Second Number)
Geometric Mean = (First Number*Second Number*Third Number)^(1/3)
Geometric Mean = (Geometric Product of Numbers)^(1/Total Numbers)

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