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 ?
- 56.5
- 59
- 57.5
- None of these
The Correct Option is D
Solution and Explanation
To find the correct average of the English marks after correcting the misread marks, follow these steps:
1. Calculate the total sum of marks based on the initial average:
Let the initial total marks = 24 students × 56 average marks = 1344.
2. Identify the incorrectly read marks and their actual values:
Misread marks = 44, 45, 61
Actual marks = 48, 59, 67
3. Calculate the total difference due to the misreads:
Difference for the 3 students = (48 - 44) + (59 - 45) + (67 - 61)
= 4 + 14 + 6 = 24.
4. Adjust the original total marks using the calculated difference:
Correct total marks = 1344 + 24 = 1368.
5. Calculate the correct average:
Correct average marks = 1368 / 24 = 57.
Thus, the correct average marks of the class is 57, which leads to the conclusion that the correct option from the provided choices is "None of these".
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