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    If the average weight of 6 students is 50 kg, the average weight of 2 students is 51 kg and the average weight of 2 students is 55 kg, then what will
    Question

    If the average weight of 6 students is 50 kg, the average weight of 2 students is 51 kg and the average weight of 2 students is 55 kg, then what will be the average weight of all the students?

    A.

    52 kg

    B.

    61 kg

    C.

    51.5 kg

    D.

    51.2 kg

    Correct option is D

    Given: 
    If the average weight of 6 students is 50 kg, the average weight of 2 students is 51 kg and the average weight of 2 students is 55 kg.​​
    Solution:
    Total weight of these 6 students = 6 × 50 = 300 kg
    Total weight of these 2 students = 2 × 51 = 102 kg
    Total weight of these 2 students = 2 × 55 = 110 kg
    Total Weight of All Students:
    Total weight = 300 + 102 + 110
    = 512 
    Total Number of Students:
    6+2+2=10 students
    Average Weight:
    TotalWeightTotalStudents\frac {Total Weight}{Total Students}
    51210\frac {512}{10}​​
    = 51.2 kg
    51.2 kg will be the average weight of all students.
    Thus, correct option is (d).

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