The mean of 100 observations is 40. It is found that an observation 84 was misread as 48. Then the correct mean is ? 

A  40.36

B 41.24

C 41.92

D 42.05

Solution

Correct Answer: Option A

Given,

mean of 100 observations is 40

=> Total of 100 observations = 40 \(\times\) 100 = 4000

84 is misread as 48

=> Difference = 84 - 48 = 36

=> Now, new total of 100 observations = 4000 + 36 = 4036

Correct Mean = 4036 \(\div\) 100 = 40.36

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