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z-SCORES

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 Standardized value 1 SD unit = value of 1 SD before standardization z-SCORES 5. OVERVIEW OF z-SCORES . z-SCORES 6. score LOCATION. z-SCORES describe the exact location of a score within a distribution Sign: Whether score is above (+) or below (-) the mean Number: Distance between score and mean in standard deviation units Example z = + o Sign: positive (+) so score is above the mean o Number: SD units from the mean z-SCORES 7.

-Scores describe the exact location of a score within a distribution Sign: Whether score is above (+) or below (-) the mean Number: Distance between score and mean in standard deviation units Example z = +1.00 o Sign: positive (+) so score is above the mean o Number: 1.00 SD units from the mean Z-SCORES 7

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