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Let x(1),x(2),……., x(n) be n observation...

Let `x_(1),x_(2)`,……., `x_(n)` be n observations, and let `barx` be their arithmetic mean and `sigma^(2)` be the variance.
Statement-1 : Variance of `2x_(1),2x_(2),…….,2x_(n)` is `4sigma^(2)`.
Statement-2 : Arithmetic mean of `2x_(1),2x_(2),…...,2x_(n)` is `4barx`.

A

Statement-1 is true and statement-2 is true; statement-2 is not a correct explanation for statement-1

B

Statement-1 is true, statement-2 is false

C

Statement-1 is false, statement-2 is true

D

Statement-1 is true, statement-2 is true, statement-2 is a correct explanation for statement-1

Text Solution

Verified by Experts

The correct Answer is:
C
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