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Let X(1),X(2),…….X(n) be n observations,...

Let `X_(1),X_(2),…….X_(n)` be n observations, and let `bar(x)` be their arithmetic mean and `sigma^(2)` be their variance .
Statement 1 : Arithmetic mean of `x_(1) + 2,x_(2) + 2,x_(3) + 2,…..,x_(n) + 2` is `bar(x) + 2`
Statement 2 : Variance of `x_(1)

A

Statemnet 1 is ture , Statement 2 is ture, Statement 2 is a correct explanation for Statement 1

B

Statement 1 is ture Statement 2 is false

C

Statement 1 is false false , Statement 2 is ture

D

Statement 1 is ture , Statement 2 is true, Statement 2 is correct explanation for Statement 1

Text Solution

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The correct Answer is:
B
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