b) The mean of 10 observations was calculated as 40. On rechecking, it was detected that the number 45 was incorrectly copied as 15. Find the correct mean.
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Mean = (Sum of all observations)/(Number of observations) or, 40 = (Sum of all observations)/10 So, sum of all observations = 400 But this is incorrect sum, since one observation was copied wrongly. So, correct sum = Incorrect sum – Incorrect observation + correct observation = 400 – 15 + 45 = 430 Correct Mean = Correct Sum/ Number of observations = 430/10 = 43Read more on Sarthaks.com - https://www.sarthaks.com/788673/mean-observations-calculated-detected-rechecking-value-wrongly-copied-find-correct-mean
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