Let `x_(1), x_(2), x_(3), x_(4),x_(5)` be the observations with mean m and standard deviation s. The standard deviation of the observations `kx_(1), kx_(2), kx_(3), kx_(4), kx_(5)` is

Let x_(1),x_(2),x_(3),……..,x_(n) be n observations with mean barx and standard deviation sigma . The mean the standard deviation of kx_(1),kx_(2),……,kx_(n) respectively are (i) barx,ksigma (ii) kbarx,sigma (iii) kbarx,ksigma (iv) barx,sigma

If, s is the standard deviation of the observations x_(1),x_(2),x_(3),x_(4) and x_(5) then the standard deviation of the observations kx_(1),kx_(2),kx_(3),kx_(4) and kx_(5) is

If, s is the standard deviation of the observations x_(1),x_(2),x_(3),x_(4) and x_(5) then the standard deviation of the observations kx_(1),kx_(2),kx_(3),kx_(4) and kx_(5) is

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

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 :

If the standard deviation of n observation x_(1), x_(2),…….,x_(n) is 5 and for another set of n observation y_(1), y_(2),………., y_(n) is 4, then the standard deviation of n observation x_(1)-y_(1), x_(2)-y_(2),………….,x_(n)-y_(n) is

If the standard deviation of n observation x_(1), x_(2),…….,x_(n) is 5 and for another set of n observation y_(1), y_(2),………., y_(n) is 4, then the standard deviation of n observation x_(1)-y_(1), x_(2)-y_(2),………….,x_(n)-y_(n) is

If the mean and standard deviation of 5 observations x_(1),x_(2),x_(3),x_(4),x_(5) are 10 and 3 respectively,then the variance of 6 observations x_(1),x_(2),x_(3),x_(4),x_(5) and 50 is equal to

Let x_1, x_2 ,…………,x_n be n observations and barx be their arithmetic mean. The formula for the standard deviation is given by ……….. .

The mean square deviation of a set of observation x_(1), x_(2)……x_(n) about a point m is defined as (1)/(n)Sigma_(i=1)^(n)(x_(i)-m)^(2) . If the mean square deviation about -1 and 1 of a set of observation are 7 and 3 respectively. The standard deviation of those observations is