QJEEM18Ma0d26: JEE Main 2018 Mathematics - Class 11 JEEM18Ma0d26 Solution: The mean of set of 30 observations is 75. If each observation…

Question

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The mean of set of 30 observations is 75. If each observation is multiplied by a non-zero number

λ

and then each of them is decreased by 25, their mean remains the same. Then

λ

is equal to :

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

\Rightarrow

λ

=

\frac{4}{3}

.

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