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  1. The mean of 100 observations was calculated as 40. It was found later that one of the observations was misread as 83 instead of 53. The correct mean is

Options:
A .  39.7
B .  48.3
C .  39.2
D .  40.2
Answer: Option A

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Given mean marks of 100 students = 40
Sum of marks = 100 × 40 = 4000
Given that one observation is misread as 53 instead of 83
Hence error in reading the marks = 83 – 56 = 30
Correct sum of observations = 4000 – 30 = 3970
Correct mean = 3970/100 = 39.7
Given mean marks of 100 students = 40
Sum of marks = 100 × 40 = 4000
Given that one observation is misread as 53 instead of 83
Hence error in reading the marks = 83 – 56 = 30
Correct sum of observations = 4000 – 30 = 3970
Correct mean = 3970/100 = 39.7

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