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    A class of 93 students took a Physics test. 10 students had an average score of 90. The remaining students had an average score of 75. What is the ave
    Question

    A class of 93 students took a Physics test. 10 students had an average score of 90. The remaining students had an average score of 75. What is the average score (rounded off to one decimal place) of the whole class?

    A.

    71.8

    B.

    76.6

    C.

    86.7

    D.

    74.9

    Correct option is B

    Given
    Total students = 93
    Average score of 10 students = 90
    Average score of remaining 83 students = 75
    Formula Used
    Overall Average = (Sum of all scores) / (Total number of students)
    Solution
    Sum of scores of the first 10 students = 10×90=90010 \times 90 = 900​​
    Sum of scores of the remaining 83 students = 83×75=622583 \times 75 = 6225​​
    Total sum of scores = 900 + 6225 = 7125
    Overall average = 712593\frac{7125}{93}​​
    Overall average 76.61\approx 76.61​​
    Rounded off to one decimal place, it is 76.6
    Final Answer
    So the correct answer is (b)

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