Multiple choice

The table given below shows the number of students having obtained different marks. Marks Number of Students 9 - 11 6 11 - 13 5 13 - 15 2 15 - 17 2 17 - 19 5 What is the mean marks per student?

  1. 13.5

  2. 12.25

  3. 15.5

  4. 14.25
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A Correct answer
Explanation

Midpoints: 10, 12, 14, 16, 18. Frequencies: 6, 5, 2, 2, 5. Mean = (10*6 + 12*5 + 14*2 + 16*2 + 18*5) / (6+5+2+2+5) = (60 + 60 + 28 + 32 + 90) / 20 = 270 / 20 = 13.5.

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