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Question

What is the difference between harmonic mean and arithmetic mean?


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Solution

The difference between harmonic mean and arithmetic mean:

Arithmetic MeanHarmonic Mean
Arithmetic mean is the sum of a collection of numbers divided by the number of numbers in the collection.The harmonic mean is the reciprocal of the average of the reciprocals of the data values.

For a data set a1,a2,a3,.....,an, the arithmetic mean is,

A.M=a1+a2+a3+....+ann

For a data set a1,a2,a3,.....,an, the harmonic mean is

H.M=n1a1+1a2+1a3+....+1an

Hence, the difference is clearly explained.


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