If you transformed a set of raw scores, and then added 15 to each z score, the resulting scores _________.
A) would have a standard deviation = 1
B) would have a mean = 0
C) would have a mean =15
D) would have a standard deviation 1
E) would have a standard deviation =1 and a mean of =15

Question

If you transformed a set of raw scores, and then added 15 to each z score, the resulting scores _________.
A) would have a standard deviation = 1
B) would have a mean = 0
C) would have a mean =15
D) would have a standard deviation > 1
E) would have a standard deviation =1 and a mean of =15

Quizplus · Accepted Answer

Adding a constant to each score in a set affects the mean but not the standard deviation. Therefore, the mean of the z scores, originally 0, would become 15 after adding 15 to each score, but the standard deviation would remain 1, as adding or subtracting a constant does not affect the spread of the scores.

If You Transformed a Set of Raw Scores, and Then