A set of n values `x_(1),x_(2),…….,x_(n)` has standard deviation `sigma`. The standard deviation of n values `x_(1)-k,x_(2)-k,…….,x_(n)-k` is

A set of n value x_(1),x_(2),……..,x_(n) has mean barx and standard deviation sigma . The mean and standard deviation of n values (x_(1))/(k),(x_(2))/(k),.......,(x_(n))/(k)(kne0 respectively are (i) kbarx,(sigma)/(k) (ii) (barx)/(k),(sigma)/(k) (iii) kbarx,ksigma (iv) (barx)/(k),ksigma

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

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 the standard deviation of x_(1),x_(2),….,x_(n) is 3.5 then the standard deviation of -2x_(1)-3, -2x_(2)-3,….,-2x_(n)-3 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

If x_(1),x_(2),x_(3),.........,x_(n) be n observations with mean barx and variance sigma^(2) . The mean and variance of x_(1)+k,x_(2)+k,x_(3)+k,......,x_(n)+k respectively are (i) barx+k,sigma^(2) (ii) barx+k,sigma^(2)+k^(2) (iii) barx+k,(sigma+k)^(2) (iv) barx,sigma^(2)

The mean and standard deviation of 10 observations x_(1), x_(2), x_(3)…….x_(10) are barx and sigma respectively. Let 10 is added to x_(1),x_(2)…..x_(9) and 90 is substracted from x_(10) . If still, the standard deviation is the same, then x_(10)-barx is equal to

If both the mean and the standard deviation of 50 observations x_(1), x_(2),…, x_(50) are equal to 16, then the mean of (x_(1) -4)^(2), (x_(2) -4)^(2), …., (x_(50) - 4)^(2) is k. The value of (k)/(80) is _______.

If x_(1),x_(2)……..x_(n) be n observation and barx be their arithmetic mean .Then formula of the standard deviation is given by