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    Find the arithmetic mean of the following data.X51015202530F356213
    Question

    Find the arithmetic mean of the following data.

    X

    5

    10

    15

    20

    25

    30

    F

    3

    5

    6

    2

    1

    3

    A.

    15.5

    B.

    13.5

    C.

    12.5

    D.

    14.5

    Correct option is A

    Given:

    Data for calculating arithmetic mean

    Formula Used:

    Mean =xififI \frac{\sum x_i f_i }{\sum f_I}​​

    Solution:

    X

    5

    10

    15

    20

    25

    30

    F

    3

    5

    6

    2

    1

    3

    xifix_i f_i​​

    15

    50

    90

    40

    25

    90

    xifi\sum x_i f_i  = 15 + 50 + 90 + 40 + 25 + 90 = 310

    fi\sum f_i = 3 + 5 + 6 + 2 + 1 + 3 = 20

    Mean =31020= \frac{310}{20}​ = 15.5

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