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    Find the arithmetic mean of the given data. X 10 20 30 40 50F 5 5 4 6 5
    Question

    Find the arithmetic mean of the given data.

    X
    10
    20
    30
    40
    50
    F
    5
    5
    4
    6
    5

    A.

    26.4

    B.

    30.6

    C.

    30.4

    D.

    16.4

    Correct option is C

    Given:

    X = (10, 20, 30, 40, 50).

    FFF = (5, 5, 4, 6, 5).

    Formula used:

    Mean=Σ(X×F)ΣFMean = \frac{Σ(X × F)}{ΣF} 

    Solution:

    ∑(X×F) = 50 + 100 + 120 + 240 + 250 = 760

    ∑F  =  5 + 5 + 4 + 6 + 5 = 25

    Mean = 76025\frac{760}{25} = 30.4

    Thus the correct answer is (C)

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