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While tabulation of marks scored in an examination by the students of a class, by mistake the marks scored by one student got
recorded as 93 in place of 63, and thereby the average marks increased by 0.5. What was the number of students in the class?
20
30
15
60
- The actual mark was 63, but it was mistakenly recorded as 93. This means there's an excess of 30 points.
- The average increase of 0.5 indicates this 30-point-error spread across all students.
- Let's denote the number of students by n.
- The equation is: 30n=0.5.
- Solving for n, we get n=300.5=60.
- Option 1: 20
- This results in 1.5 average increase, not matching 0.5.
- Option 2: 30
- This results in a 1 average increase, not matching 0.5.
- Option 3: 15
- This results in a 2 average increase, not matching 0.5.
- Option 4: 60
- This indeed matches the 0.5 average increase.
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