Question

Identify all of the following that is TRUE about z-score:

A. Z-scores can be used on a distribution that is NOT normally distributed.
B. A negative 2-score represents a value that is above the mean
C. Z-scores do not have units
D. A z-score is very affected by transformations to a set of data such as multiplication, division, addition, and subtraction.
E. A Z-score represents the number of standard deviations from the mean

Answer 1

A z-score represents the number of standard deviations from the mean. It can only be used on a normally distributed data set, and it is not affected by units. Transformations to a set of data affect the z-score.

Step-by-step explanation:

A z-score is a standardized value that represents the number of standard deviations a value is from the mean. It is used to compare values from different data sets, even if the data sets have different means and standard deviations. Z-scores can only be used on a normally distributed data set, and they do not have units. Transformations to a set of data, such as multiplication, division, addition, and subtraction, do affect the z-score.