The mean of a set of 30 observations is 75 . If each other observation is multiplied by a nonzero number λ and then each of them is decreased by 25 , their mean remains the same. The λ is equal to equ

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The mean of a set of 30 observations is 75 . If each other observation is multiplied by a nonzero number λ and then each of them is decreased by 25 , their mean remains the same. The λ is equal to equal to { 0 }

TestHub · Accepted Answer

As mean is a linear operation, so if each observation is multiplied by λ and decreased by 25 then the mean becomes 75 λ − 25 . According to the question, 75 λ − 25 = 75 ⇒ λ = 3 4 ​

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