Let {\x}_1, {\x}_2, . . . . . . . . ., {\x}_{ {
}} be {
} observations, and let \ov{x} be their arithmetic mean and σ^2 be their variance.Statement 1 : Variance of 2 x_1, 2 x_2, . . . . . ., 2 x_n is 4 σ^2.Statement 2: : Arithmetic mean of 2 x_1, 2 x_2, . . . . . ., 2 x_n is 4 \ov{x}.

Question

Let  {\x}_1,  {\x}_2, . . . . . . . . .,  {\x}_{ {
}} be  {
} observations, and let \ov{x} be their arithmetic mean and σ^2 be their variance.Statement 1 : Variance of 2 x_1, 2 x_2, . . . . . ., 2 x_n is 4 σ^2.Statement 2: : Arithmetic mean of 2 x_1, 2 x_2, . . . . . ., 2 x_n is 4 \ov{x}.

Examsnet · Accepted Answer

Correct Answer is : Statement 1 is true, statement 2 is false

AIEEE 2012 Solved Paper