Multiple choice

The average marks obtained by 80 students in an examination is 50. If the average marks of passed students is 55 and the number of students who failed the examination are 30, then what is the average marks of students who failed the examination?

  1. 41.66

  2. 46.66

  3. 40.33

  4. 52.33
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A Correct answer
Explanation

Total marks for 80 students = 80 × 50 = 4000. If 30 failed, then 50 passed with average 55, contributing 50 × 55 = 2750 marks. The remaining 1250 marks are from 30 failed students, so their average is 1250 ÷ 30 = 41.67 (approximately 41.66). This is a weighted average problem where you balance the total against known subgroups.

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