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    Find the mean marks of the following distribution.Marks obtainedNo. of students255306353401
    Question

    Find the mean marks of the following distribution.

    Marks obtained
    No. of students
    25
    5
    30
    6
    35
    3
    40
    1

    A.

    32

    B.

    29

    C.

    30

    D.

    31

    Correct option is C


    Given:

    Marks obtained: 25, 30, 35, 40
    Number of students: 5, 6, 3, 1

    Formula Used:

    Mean=(X×f)f\text{Mean} = \frac{\sum (X \times f)}{\sum f}​​
    Where:
    X = Marks obtained
    f = Frequency (number of students)
    Solution:
    Total Marks obtained by the number of students:
    25 × 5 +30 × 6 +35 × 3+40 × 1= 125 + 180 +105 + 40 = 450
    Sum of frequencies (number of students): 5 + 6 + 3 + 1 = 15
    Mean = 45015\frac{450}{ 15}​ = 30

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