If each of the observation `x_1,x_2,dotdotdot,x_n`is increased by a where a is a negative or positive number, show that the variance remains unchanged.

If each of the observation x_(1),x_(2),...,x_(n) is increased by 'a where a is a negative or positive number,show that the variance remains unchanged.

If a^(2x+2)=1 , where a is a positive real number other than 1, then x = ?

If a^(2x+2) = 1 , where a is a positive real number other than 1, then x is equal to

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.

If the mean of n observations x_(1),x_(2),x_(3)...x_(n) is bar(x) then the sum of deviations of observations from mean is

Mean of n observations x_1,x_2 ,…., x_n is barx . If an observation x_q is replaced by x'_q , then the new mean is :