Question : The average marks of 100 students were initially calculated as 40. Later, it was discovered that a score of 53 was misread as 83. What is the correct average mark after fixing this misread score?
Option 1: 38.7
Option 2: 39
Option 3: 39.7
Option 4: 41
Correct Answer: 39.7
Solution :
Given: The average marks of 100 students were found to be 40.
It was discovered that a score of 53 was misread as 83.
Difference = 83 – 53 = 30
$\therefore$ Final average = 40 – $\frac{30}{100}$ = 39.7
Hence, the correct answer is 39.7.
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