Question

In the same set of data, no two may have the same z score?

Answer 1

Two data points can have the same score if they are the same distance from the mean of the data set. For example, if the mean is 10, 8 and 12 will have the same z score.

Answer 2

Gotcha, I thought it was false too but I read somewhere that every z score is unique or something

Answer 3

It's unique for any x in the data, but a particular number x(p) may appear more than once in the data, and they will have the same unique z score.