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How are Arithmetic Mean, Geometric Mean and Harmonic Mean related to each other? Why is Arithmetic Mean greater than the Geometric Mean and Geometric Mean is greater than the Harmonic Mean.

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Relation between arithmetic mean, geometric mean and harmonic mean can be given by - 

(i) X > g > h                      and                      (ii) g2 = X.h.            

While calculating arithmetic mean, the bigger values are given more weightage than the small values, whereas in harmonic mean the smaller values are given much more weightage than to the larger values. Therefore, arithmetic mean is greater than geometric mean and geometric mean is greater than harmonic mean. 

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