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    Question

    The average marks of 55 students in a class were calculated

    as 72. However, there were errors in recording the marks of four students. The incorrect marks recorded were 84, 74, 70, and 88, but the actual marks of these students were 56, 32, 48, and 70, respectively. Find the correct average marks of the class.
    A 65 Correct Answer Incorrect Answer
    B 68 Correct Answer Incorrect Answer
    C 70 Correct Answer Incorrect Answer
    D 72 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Total marks obtained by students = 72 × 55 = 3960
    Total misread marks = (84 + 74 + 70 + 88) – (56 + 32 + 48 + 70) = 110
    Desired Average = (3960 – 110)/55 = 70

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