The table below has question-wise data on the performance of students in an examination. The marks for each question are also listed. There is no negative or partial marking in the examination. Q.No | Marks | Answered Correctly | Answered Wrongly | Not Attempted 1 | 2 | 21 | 17 | 6 2 | 3 | 15 | 27 | 2 3 | 2 | 23 | 18 | 3 What is the average of the marks obtained by the class in the examination? A. 1.34 B. 1.74 C. 3.02 D. 3.91
GATE 2014 · General Aptitude · Tabular Data · medium
Answer: The average marks obtained by the class is 133/44 ≈ 3.02 (Option C).
- Determine class size: Q1: 21 + 17 + 6 = 44 students. Verify: Q2: 15+27+2=44. Q3: 23+18+3=44. Class size = 44.
- Compute marks contributed by each question: Q1: 21 x 2 = 42 marks. Q2: 15 x 3 = 45 marks. Q3: 23 x 2 = 46 marks.
- Sum total class marks: Total = 42 + 45 + 46 = 133 marks.
- Compute the class average: Average = 133 / 44 = 3.0227... ≈ 3.02.