The mean of the distribution of a set of z scores is:
A) always 0.
B) always 1.
C) the same as the mean of the distribution of raw scores.
D) the score corresponding to the 50th percentile in the raw score distribution.

Question

Quizplus · Accepted Answer

The mean of the distribution of z-scores is always 0, regardless of the mean and standard deviation of the original raw score distribution. This is because z-scores are calculated by subtracting the population mean from a raw score and then dividing by the population standard deviation, which centers the distribution around 0.

The Mean of the Distribution of a Set of Z