Z-SCORES - University of West Georgia
z-SCORES
Frances Chumney, PhD
CONTENT OUTLINE
? Overview of z-Scores
? Probability & Normal Distribution
? Distribution of Sample Means
Z-SCORES
2
OVERVIEW OF Z-SCORES
Z-SCORES
3
OVERVIEW OF z-SCORES
? Student A earned a score of 76 on an exam
?
How many points were possible?
o 76 out of 80? Not bad!
o 76 out of 100? Not so great!
?
How does a score of 76 compare to other students?
o 76 the lowest score in the class?
o Anyone earn a score higher than 76?
Z-SCORES
4
OVERVIEW OF z-SCORES
?z-Score
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
? Standard Deviation Unit
?
?
Z-SCORES
Standardized value
1 SD unit = value of 1 SD before standardization
5
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