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The mean of marks scored by 100 students was found to be 40. Later on it was discovered that a score of 53 was misread as 83. Find the correct mean.

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The mean of marks scored by 100 students was found to be 40. Later on it was discovered that a score of 53 was misread as 83. Find the correct mean.

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Mean marks of 100 students = 40

Sum of marks of 100 students = 100 x 40 = 4000

 Correct value = 53.

Incorrect value = 83.

Correct sum = 4000 - 83 +53

= 3970

Correct mean = 3970/100

= 39.7

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