Q. 33 Consider a finite sequence of random values X = { x1, x2,…, xn}. Let μx be the mean and σxbe the standard deviation of X. Let another finite sequence Y of equal length be derived from this as yi = a*xi + b, where a and b are positive constants. Let μy be the mean and σybe the standard deviation of this sequence.
Which one of the following statements is INCORRECT?
(A) Index position of mode of X in X is the same as the index position of
mode of Y in Y .
(B) Index position of median of X in X is the same as the index position of
median of Y in Y .
(C) μy = aμx+b
(D) σy = aσx+b
Answer: (D)
Explanation:
