Question

what is better when trying to find the top 25% scores z score or mean? Why?

Answer 1

z-Score is standardized value that specifies the exact location of an X value within a distribution by describing its distance from the mean in terms of standard deviation units. z-Score is better than mean because z-Scores describe the exact location of a score within a distribution. Its sign tells Whether score is above (+) or below (-) the mean and number tells the distance between score and mean in standard deviation units. It means z-Score gives us the more information.