Question

Which of the following statements about Z-scores is TRUE?

a) A NEGATIVE Z-score represents a value that is ABOVE the mean.
b) Z-scores DO NOT have units.
c) The formula for calculating a Z-score is z = (value - mean) / standard deviation.
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.

Step-by-step explanation:

The statement that is TRUE about Z-scores is: e) A Z-score represents the number of standard deviations from the mean. A Z-score is a standardized value that tells you how many standard deviations a value is above or below the mean. A negative Z-score indicates that the value is below the mean, while a positive Z-score indicates that the value is above the mean. The formula for calculating a Z-score is z = (value - mean) / standard deviation. Z-scores DO NOT have units because they are a measure of how many standard deviations a value is from the mean, which is a unitless measure.