The average marks of 60 students of a class were found to be 64. Later, it was found that marks of two students were wrongly read as 42 and 28 in place of 24 and 76 respectively. Then what is the correct average marks?
The average marks of 60 students of a class were found to be 64. Later, it was found that marks of two students were wrongly read as 42 and 28 in place of 24 and 76 respectively. Then what is the correct average marks? Correct Answer 64.5
Given:
Initially, average marks of 60 students = 64
Two marks were read wrongly as 42 and 28 instead of 24 and 76
Formula used:
Average of n numbers = Sum of all the numbers/n
Calculation:
Total marks of all students initially = 64 × 60 = 3840
Change in marks after correction = (24 + 76) - (42 + 28) = 30
Total correct marks = 3840 + 30 = 3870
∴ Correct average = 3870/60 = 64.5
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Feb 20, 2025