If x1, x2, x3,....xn are n values of a variable X such that Find the value of n and the mean.

If x_1,x_2,.......,x_n are n values of a variable X such that sum_(i=1)^n (x_i-2)=110 and sum_(i=1)^n(x_i-5) =20 . Find the value of n and the mean.

If x_1,x_2,.......,x_n are n values of a variable X such that sum_(i=1)^n (x_i-2)=110 and sum_(i=1)^n(x_i-5) =20. Find the value of n and the mean.

If x_1, x_2, ,\ x_n are n values of a variable X\ a n d\ y_1, y_2, ......,yn are n values of variable Y such that y_i=a x_i+b , i=1,2,\...., n then write Va r\ (Y) in terms of Va r(X)

If x_(1), x_(2), ………,x_(n) are n values of a variable x such that sum(x_(i)-3) = 170 and sum(x_(i)-6) = 50. Find the value of n and the mean of n values.

If x_(1), x_(2), ………,x_(n) are n values of a variable x such that sum(x_(i)-3) = 170 and sum(x_(i)-6) = 50. Find the value of n and the mean of n values.

Let x_1, x_2, x_3, , be n values of a variable X. If these values are changed to x_1+a ,x_2+a , ....., x_n+a ,w h e r ea in R , show that the variance remains unchanged.

Let x_(1),x_(2),x_(3),..., be n values of a variable X . If these values are changed to x_(1)+a,x+2+a,...,x_(n)+a, where a in R show that the variance remains unchanged.

Let x_(1),x_(2),x_(3),..., be n values of a variable X . If these values are changed to x_(1)+a,x+2+a,...,x_(n)+a, where a in R show that the variance remains unchanged.

Let x_1,x_2,x_3,…x_n be n values of a variable x. If these values are changed to x_1+a, x_2+a,…x_n+a , where a∈ R, show that the variance remains unchanged.

Let x_1,\ x_2,\....,\ x_n values of variable X and let 'a' be non zero real number. Then prove that the variance of the observations a x_1,\ a x_2, ... ,\ a x_n is a^2 Var (X) . Also, find their standard deviation.