Consider a finite sequence of random values X = { x_{1}, x_{2},..., x_{n}}. Let μ_{x} be the mean and σ_{x} be the standard deviation of X. Let another finite sequence Y of equal length be derived from this as y_{i} = a*x_{i} + b, where a and b are positive constants. Let μ_{y} be the mean and σ_{y} be 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 | μ_{y} = aμ_{x}+b |
D | σ_{y} = aσ_{x}+b |