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

Let x_1,x_2,x_3,………,x_n be n observations . Let W_i = lx_i + k for i=1,2,……,n, where l and k are constants. If the mean of x_i's is 48 and their standard deviation is 12, the mean of w_i's is 55 and standard deviation of w_i's is 15, the values of l and k should be ..........

Let x_1, x_2, ,x_n be x_n observations. Let y_i=a x_i+b for i=1,2,...,n where a and b are constants. If the mean of x_i's is 48 and their standard deviation is 12, the mean of y_i 's is 55 and standard deviation of y_i's is 15, the values of a and b are (a) a=1. 25 ,b=-5 (b) a=-1. 25 ,b=5 (c) a=2. 5 ,b=-5 (d) a=2. 5 ,b=5

Let x_1, x_2, ,x_n be x_n observations. Let y_i=a x_i+b for i=1,2,...,n where a and b are constants. If the mean of x_i's is 48 and their standard deviation is 12, the mean of y_i 's is 55 and standard deviation of y_i's is 15, the values of a and b are (a) a=1. 25 ,b=-5 (b) a=-1. 25 ,b=5 (c) a=2. 5 ,b=-5 (d) a=2. 5 ,b=5

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_(n) be n observations and x be their arithmetic mean. The formula for the standard deviation is given by :

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_(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 "_____"