If the random variable X has a mean of µ and a standard deviation σ,then (X - µ)/σ has a mean and standard deviation respectively:
A)μ and σ
C)1 and 0
D)0 and 1

Question

If the random variable X has a mean of µ and a standard deviation σ,then (X - µ)/σ has a mean and standard deviation respectively:
A)μ and σ 
C)1 and 0 
D)0 and 1

Quizplus · Accepted Answer

(X - µ)/σ is a standardized variable with mean 0 and standard deviation 1, also known as a z-score. This is a fundamental concept in statistics and is used in many statistical calculations and analyses.

If the Random Variable X Has a Mean of µ