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45 is the average marks obtained by 30 students of a class. On checking, two errors were identified. On correction, one student obtained 45 more marks while other obtained 15 less marks. What is the average of corrected marks ?
  • a)
    45
  • b)
    44
  • c)
    47
  • d)
    46
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
45 is the average marks obtained by 30 students of a class. On checkin...
On correction, total increase in marks = 45 - 15 = 30 marks.
Number of students = 30
So, increase in the average = 30/30 = 1 mark.
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Most Upvoted Answer
45 is the average marks obtained by 30 students of a class. On checkin...
Given:
- Average marks obtained by 30 students = 45

To find:
- Average of corrected marks

Solution:
Let's break down the problem step by step:

1. Total marks obtained by the 30 students
- Average marks = 45
- Total marks = Average marks * Number of students
= 45 * 30
= 1350

2. Two errors were identified
- One student obtained 45 more marks
- Another student obtained 15 less marks

3. Correction of marks
- The student who obtained 45 more marks will now have his marks deducted by 45
- The student who obtained 15 less marks will now have his marks increased by 15

4. Calculation after correction
- Total marks = Total marks - 45 (for one student) + 15 (for another student)
= 1350 - 45 + 15
= 1320

5. Average of corrected marks
- Average marks = Total marks / Number of students
= 1320 / 30
= 44

Conclusion:
The average of the corrected marks is 44. Therefore, the correct answer is option 'D' - 46.
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