If a set of scores is transformed by adding a constant (other than zero) to each score, which of the following statistics would remain unchanged?
A) Mean
B) Median
C) Mode
D) Standard deviation

Question

Quizplus · Accepted Answer

Adding a constant to each score in a set shifts all the values by that constant, which does not affect the spread (or dispersion) of the scores relative to each other. Therefore, the standard deviation, which measures this spread, remains unchanged. The mean, median, and mode would all increase by the value of the constant added.

If a Set of Scores Is Transformed by Adding a Constant