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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 β†’ 10 20–40 β†’ 30 40–60 β†’ 50 60–80 β†’ 70 80–100 β†’ 90 Compute Ξ£fm: fΓ—m: 4Γ—10 = 40 10Γ—30 = 300 20Γ—50 = 1000 16Γ—70 = 1120 10Γ—90 = 900 Total Ξ£fm = 40 + 300 + 1000 + 1120 + 900 = 3,360 Total N = 60 Hence, Mean = Ξ£fm / N = 3,360 / 60 = 56

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