Question
Let x1, x2, ......, xn be n observations, and let 
be their arithmetic mean and σ2 be their variance.
Statement 1: Variance of 2x1, 2x2, ......, 2xn is 4 σ2.
Statement 2: Arithmetic mean of 2x1, 2x2, ......, 2xn is 4
.
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Statement 1 is false, statement 2 is true
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Statement 1 is true, statement 2 is true; statement 2 is a correct explanation for statement 1
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Statement 1 is true, statement 2 is true; statement 2 is not a correct explanation for statement 1
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Statement 1 is true, statement 2 is false
Solution
D.
Statement 1 is true, statement 2 is false
is the AM and σ2 is the variance of n observations x1, x2, x3......xnAM of 2x1, 2x2, 2x3, .......2xn
Hence, it prove that statement 2 is false.
