Question:
The average marks in English subject of a class of 24 students is 56. If the marks of three students were misread as 44, 45 and 61 of the actual marks 48, 59 and 67 respectively, then what would be the correct average?
The average marks in English subject of a class of 24 students is 56. If the marks of three students were misread as 44, 45 and 61 of the actual marks 48, 59 and 67 respectively, then what would be the correct average?
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Find how much the actual marks exceed the misread marks in total, then spread that excess across all 24 students.
Updated On: Jul 16, 2026
- 56.5
- 59
- 57.5
- None of these
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The Correct Option is D
Solution and Explanation
Step 1: Find the total error caused by the misread marks.
Sum of the misread marks \( = 44 + 45 + 61 = 150\).
Sum of the actual marks \( = 48 + 59 + 67 = 174\).
The actual marks are higher by \(174 - 150 = 24\).
Step 2: Distribute this extra total over all 24 students to correct the average.
Increase in average \( = \dfrac{24}{24} = 1\).
Correct average \( = 56 + 1 = 57\).
Final Answer:
The correct average is 57, which is not listed among options A, B or C, so option D, "None of these", is correct. \[ \boxed{57} \]
Sum of the misread marks \( = 44 + 45 + 61 = 150\).
Sum of the actual marks \( = 48 + 59 + 67 = 174\).
The actual marks are higher by \(174 - 150 = 24\).
Step 2: Distribute this extra total over all 24 students to correct the average.
Increase in average \( = \dfrac{24}{24} = 1\).
Correct average \( = 56 + 1 = 57\).
Final Answer:
The correct average is 57, which is not listed among options A, B or C, so option D, "None of these", is correct. \[ \boxed{57} \]
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