Question
Download Solution PDFWhile finding the average marks of a class, Vikas's marks were wrongly entered as 98 in place of 89. Due to this error, the average marks of the class were 0.25 more than the actual average. What is the number of students in the class?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Vikas's wrongly entered marks = 98
Vikas's actual marks = 89
Average marks = Actual Average + 0.25
Concept used:
Let the number of students in the class be x
If marks entered are 98 in place of 89, the increase in marks will be: 98 - 89 = 9.
Thus, the average marks are increased by \(9 \over x\).
Calculation:
Increase in average marks:
\(9 \over x\) = 0.25
x = \(9 \over 0.25\)
x = 36
∴ The total number of students in the class is 36.
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