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By Kardi Teknomo, PhD.
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Here are some relationship between the means or averages (
Bronshtein et al, 2003)
- If the data is all positive, the arithmetic mean is always greater than or equal to the geometric mean of the same data
, or 
- For any real data, quadratic mean is always greater or equal to absolute value of arithmetic mean
, or 
- Special for only two positive numbers
and , we have
Arithmetic mean 
Geometric mean 
Quadratic mean 
Harmonic mean 
If , then all the means are equal: 
If , then the order is 
Example
, 
,
,


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This tutorial is copyrighted.
Preferable reference for this tutorial is
Teknomo, Kardi. Mean and Average. http:\\people.revoledu.com\kardi\
tutorial\BasicMath\Average\
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