Question : The average mark of a class of 35 children is 35. The marks of one of the students, who got 35, were incorrectly entered as 65. What is the correct average of the class?
Option 1: 33.76
Option 2: 34.14
Option 3: 35.24
Option 4: 36.50
Correct Answer: 34.14
Solution :
Given: The average mark of a class of 35 children is 35.
The marks of one of the students, who got 35, were incorrectly entered as 65.
The sum of their marks = (35 × 35) = 1225
After correcting the mistake, the new sum = (1225 – 65 + 35) = 1195
Now, the correct average is = $\frac{1195}{35}$ = 34.14
Hence, the correct answer is 34.14.
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