The data set A = {x1, x2, x 3, . . ., xn} has a mean of x and a standard deviation of . The data set B is {kx1, kx2, kx3, . . ., kxn} the data set C is {x1 + k, x2 + k, x3 + k, . . ., xn + k} where k...

The data set A = {x₁, x₂, x
₃, . . ., x_n} has a mean of x and a standard deviation of
. The data set B is {kx₁, kx₂, kx₃, . . ., kx_n} the data set C is {x₁
+ k, x₂
+ k, x₃
+ k, . . ., x_n
+ k} where k is a constant. (a) State the mean of set B. (b) State the mean of set C. (c) State the standard deviation of set B. (d) State the standard deviation of set C.