Discussion
The mean of 100 observations was calculated as 40. It was found later on that one of the observations was misread as 83 instead of 53. The correct mean is:
Answer: B
The incorrect sum of observations = 100 × 40 = 4000.
The difference due to misreading = Incorrect value - Correct value = 83 - 53 = 30.
The calculated sum is 30 more than the actual sum.
Correct sum = 4000 - 30 = 3970.
Correct mean = \(\frac{3970}{100} = 39.7\).
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