Mean of 50 observation was found to be 80.4. but later on it was found that 96was misread as 69 at one place.Find the correct mean.
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mean of 50 observations = 80.4
the sum of 50 observations = 80.4*50=4020
since 96 was misread as 69 at one place .
the actual sum = 4020-69+96=4047
therefore the correct mean = 4047/50= 80.94
if k is added to each observation.
the sum of n observations = 4047+50k
therefore the mean = (4047+50k)/50 = 80.94+k
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