Relationship between Arithmetic Mean, Geometric Mean and Harmonic Mean

There is a Mathematical relationship between arithmetic mean, geometric mean, and harmonic mean. This relationship is given as:

 

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This relationship can be proved with the help of following problem.

Problem: Following are the number of students enrolled in English coaching program each month for the last 7 months 24, 21, 29, 18, 26, 20, and 23. Find the A.M, G.M and H.M and show that A.M > G.M > H.M.

 

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