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The mean of marks scored by 100 students was found to be 40. Later on,

Question:

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.

Solution:

Mean marks of 100 students = 40

Sum of marks of 100 students = 100 × 40

= 4000

Correct value = 53

Incorrect value = 83

Correct sum = 4000 – 83 + 53 = 3970

∴ correct mean = 3970/100 = 39.7

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