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If Arithmetic mean of a given data is A, Geometric mean = G and Harmon mean = H, then
Question



If Arithmetic mean of a given data is A, Geometric mean = G and Harmon mean = H, then

A.


B.


C.


D.


Correct option is C


For any given data, the relationship between the Arithmetic Mean (A), Geometric Mean (G), and Harmonic Mean (H) follows a well-established inequality, which is known as the AM-GM-HM inequality.
The inequality= A≥G≥H
where:
· A is the Arithmetic Mean, calculated as the sum of the values divided by the number of values.
· G is the Geometric Mean, calculated as the nth root of the product of the values.
· H is the Harmonic Mean, calculated as the reciprocal of the arithmetic mean of the reciprocals of the values.

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