engineering recuitment NIC NIELIT Scientist B 2023 Mock Test Engineering Mathematics Probability and Statistics Statistical Variables
Consider a finite sequence of random values X = [x1, x2, .... xn]. Let μx, be the mean and σx, be 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 σy be the standard deviation of this sequence. Which one of the following statements is INCORRECT?
1
Index position of mode of X in X is the same as the index position of mode of Y in Y.
2
Index position of median of X in X is the same as the index position of median of Y in Y.
3
μy = aμx + b
4
σy= aσx + b