InterviewSolution
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InterviewSolution
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The mean of 5 observations is 50. One of the observations was removed from the data, hence the mean became 45. Find the observation which was removed. |
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Answer» \(Mean = \cfrac{The\,sum \,of\, all \,observatiojns }{Total \,number \,of \,observations}\) ∴ The sum of all observations = Mean x Total number of observations The mean of 5 observations is 50 Sum of 5 observations = 50 x 5 = 250 …(i) One observation was removed and mean of remaining data is 45. Total number of observations after removing one observation = 5 – 1 = 4 Now, mean of 4 observations is 45. ∴ Sum of 4 observations = 45 x 4 = 180 …(ii) ∴ Observation which was removed = Sum of 5 observations – Sum of 4 observations = 250 – 180 … [From (i) and (ii)] = 70 ∴ The observation which was removed is 70. |
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