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Engineering Maths · Q23

Probability and Statistics

Engineering and GATE · Engineering Maths · question 23

Q23

Consider the 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 constant. Let μy be the mean and σy be the standard deviation of this sequence. Which one of the following statements 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

Answer: Option D

Solution

Answer: Option D
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