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)

Credits

Created by Mridul Sharma
Indian Institute of Information Technology (IIIT), Bhopal
Mridul Sharma has created this Calculator and 200+ more calculators!
Verified by Dipto Mandal
Indian Institute of Information Technology (IIIT), Guwahati
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6 Arithmetic Mean Calculators

Arithmetic Mean of Four Numbers
Go Arithmetic Mean = (First Number+Second Number+Third Number+Fourth Number)/4
Arithmetic Mean of Three Numbers
Go Arithmetic Mean = (First Number+Second Number+Third Number)/3
Arithmetic Mean of N Numbers
Go Arithmetic Mean = Arithmetic Sum of Numbers/Total Numbers
Arithmetic Mean given Geometric and Harmonic Means
Go Arithmetic Mean = (Geometric Mean^2)/Harmonic Mean
Arithmetic Mean of Two Numbers
Go Arithmetic Mean = (First Number+Second Number)/2
Arithmetic Mean of First N Natural Numbers
Go Arithmetic Mean = (Total Numbers+1)/2

Arithmetic Mean given Geometric and Harmonic Means Formula

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 5 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
  • Arithmetic Mean = (First Number+Second Number+Third Number)/3
  • Arithmetic Mean = (Total Numbers+1)/2
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