Let `x_(1),x_(2),..,x_(n)` be n observations, and let x 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 `2x_(1),2x_(2),..,2x_(n)` is 4x.

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 .

Let x_(1), x_(2),….,x_(n) be n observations, and let barx be their arithmatic mean and sigma^(2) be their variance. Statement 1 : Variance of 2x_(1),2x_(2),….,2x_(n) is 4sigma^(2) Statement 2 : Arithmatic mean of 2x_(1), 2x_(2),….,2x_(n) is 4 bar x .

Let x_1,x_2,……,x_n be n observations, and let barx be their arithimetic mean and sigma^2 be their variance. Statement1: Variance of 2x_1, 2x_2,…..,2x_n is 4 alpha^2 Statement2: Arithmetic mean of 2x_1, 2x_2,…..,2x_n is 4 barx .

Let x_1,""x_2,"". . . . . . ,""x_n be n observations, and let bar x be their arithematic mean and sigma^2 be their variance. Statement 1: Variance of 2x_1,""2x_2,"". . . . . . ,""2x_n""i s""4""sigma^2 . Statement 2: Arithmetic mean of 2x_1,""2x_2,"". . . . . . ,""2x_n""i s""4x . (1) Statement 1 is false, statement 2 is true (2) Statement 1 is true, statement 2 is true; statement 2 is a correct explanation for statement 1 (3) Statement 1 is true, statement 2 is true; statement 2 is not a correct explanation for statement 1 (4) Statement 1 is true, statement 2 is false

Let x_1,""x_2,"". . . . . . ,""x_n be n observations, and let bar x be their arithematic mean and sigma^2 be their variance. Statement 1: Variance of 2x_1,""2x_2,"". . . . . . ,""2x_n""i s""4""sigma^2 . Statement 2: Arithmetic mean of 2x_1,""2x_2,"". . . . . . ,""2x_n""i s""4x . (1) Statement 1 is false, statement 2 is true (2) Statement 1 is true, statement 2 is true; statement 2 is a correct explanation for statement 1 (3) Statement 1 is true, statement 2 is true; statement 2 is not a correct explanation for statement 1 (4) Statement 1 is true, statement 2 is false

Let x_1,""x_2,"". . . . . . ,""x_n be n observations, and let bar x be their arithematic mean and sigma^2 be their variance. Statement 1: Variance of 2x_1,""2x_2,"". . . . . . ,""2x_n""i s""4""sigma^2 . Statement 2: Arithmetic mean of 2x_1,""2x_2,"". . . . . . ,""2x_n""i s""4x . (1) Statement 1 is false, statement 2 is true (2) Statement 1 is true, statement 2 is true; statement 2 is a correct explanation for statement 1 (3) Statement 1 is true, statement 2 is true; statement 2 is not a correct explanation for statement 1 (4) Statement 1 is true, statement 2 is false

Let x_(1), x_(2),….., x_(n) be n observations and x be their arithmetic mean. The formula for the standard deviation is given by :

Let x_(1),x_(2),……,x_(n) be n observations and barx be their arithmetic mean. The formula for the standard deviation is