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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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