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Lehmer mean is another type of Generalized mean, somewhat similar to Minkowski mean, a generalization of arithmetic, geometric and harmonic mean but with different parameter value
For two numbers and the Lehmer mean is defined as
Example:
Setting , we have arithmetic mean
Example:
When (take a limit to approach zero), we have harmonic mean
Example:
When , and only for two input numbers, we have geometric mean
Note:
 However, we do not have a specific p in Lehmer mean to represent Quadratic mean
Experiment with the interactive program below to compute Lehmer mean of a list of numbers separated by comma. Try different input values and parameter p and compare the result with other Means.
Table below provides the summary of parameter to relate Lehmer generalized mean and other means.
Name 
Parameter p 
Arithmetic Mean 

Geometric mean 
(only two inputs) 
Harmonic mean 
(limit) 
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See also: Minkowski mean, generalized mean, arithmetic mean, harmonic mean, geometric mean
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Preferable reference for this tutorial is
Teknomo, Kardi (2015) Mean and Average. http:\\people.revoledu.com\kardi\ tutorial\BasicMath\Average\