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    Question

    The following table shows the distribution of marks (out

    of 100) obtained by 60 students: The mean marks (using mid-points),
    A 47 Correct Answer Incorrect Answer
    B 56 Correct Answer Incorrect Answer
    C 69 Correct Answer Incorrect Answer
    D 37 Correct Answer Incorrect Answer

    Solution

    Class mid-points (m): 0–20 → 10 20–40 → 30 40–60 → 50 60–80 → 70 80–100 → 90 Compute Σfm: f×m: 4×10 = 40 10×30 = 300 20×50 = 1000 16×70 = 1120 10×90 = 900 Total Σfm = 40 + 300 + 1000 + 1120 + 900 = 3,360 Total N = 60 Hence, Mean = Σfm / N = 3,360 / 60 = 56

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