Let 1`x_(1),x_(2)….x_(n)` be n obervations .Let `w_(i)=lx_(i) +k " for " i=1,2….n,`where l and k are constants. If the mean of `x_(i)` is 48 and their standard deviation is 12 the mean of `w_(i)` 's is 55 and standard deviation of `w_(i) ` is 15 then the value of l and k should be

Let x_(1),x_(2),x_(n) be x_(n) observations.Let y_(i)=ax_(i)+bf or i=1,2, nwhereaandb are constants.If the mean of xi's is 48 and their standard deviation is 12, the mean of yi's is 55 and standard deviation of yi's is 15, the values of a and b are a=1.25,b=-5 (b) a=-1.25,b=5backslash(c)a=2.5,b=-5(d)a=2.5,b=5

Let x_1 ,x_2 , x_3 ………x_k be k observations and w_i = ax_i +b for I = 1,2,3……. K , where a and b are constants . If mean of x_(i) is 52 and their standard deviation is 12 and mean of w_i is 60 and their standard deviation is 15, then the value of a and b should be 15, then the value of a and b should be

Let X_1,X_2,….,X_(18) be eighteen observations such that sum_(i=1)^(18)(X_i-alpha)=36 and sum_(i=1)^(18)(X_i-beta)^2=90 , where alpha and beta are distinct real number. If the standard deviation of these observations is 1 then the value of |alpha-beta| 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

A set of n values x_(1),x_(2),……,x_(n) has standard deviation sigma . What is the standard deviation of n values x_(1)+k, x_(2)+k….,x_(n)+k?

Let x_(1),x_(2),...,x, are n observations such that sum_(i=1)^(t)x_(1)=10 and sum_(i=1)^(n)x_(i)^(2)=260 and standard deviation is 5 then n is equal to

If sum_(i=1)^n (x_i -a) =n and sum_(i=1)^n (x_i - a)^2 =na then the standard deviation of variate x_i

Find the mean variance and standard deviation of the following probability distribution x_(i):aquad bpp_(i):pq where p+q=1