`barx` is the mean of n observations `x_1,x_2,x_3,……x_n`. Find the mean of these observations when each observation is increased by a .

If the mean of the observations : x, x + 3, x + 5, x + 7, x + 10 is 9, the mean of the last three observations is

True/false If the mean of 5 observation x,x+2,x+4,x+6,x+8 is 11, then the mean of first three observations is 8.

If barx represents the mean of n observations x_1, x_2,…….,x_n , then value of sum_(i=1)^n (x_1-barx) is :

If the mean of 8 observations be 15 and 2 be added to each observation, then the mean of new set of observations will be .

The mean of n observations x_1,x_2,…………..x_n is barx . If (p+q) is added to each observations then prove that the mean of the new set of observations is barx+(p+q) .

Given that bar x is the mean and sigma^2 is the variance of n observations x_1 , x_2 ,.... x_n . Prove that the mean and variance of the observations ax_1, ax_2, ax_3 ,......, ax_n are a bar x and a^2 sigma^2 , respectively, (a ne 0) .

Given that bar x is the mean and sigma^2 is the variance of n observations x_1, x_2, ... x_n . Prove that the mean and variance of the observations ax_1, ax_2, ... ,ax_n , are a bar x and a^2 sigma^2 respectively (a ne 0) .

The mean of 25 observations is 36. Out of these observationsif the mean of first 13 observations is 32 and that of the last 13 observations is 40, the 13th observation is :

The mean of 25 observations is 36. Out of these observationsif the mean of first 13 observations is 32 and that of the last 13 observations is 40, the 13th observation is :