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Chapter 5

# PSYC202 Chapter 5 Z scores.docx

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School
Queen's University
Department
Psychology
Course
PSYC 202
Professor
Ronald R Holden
Semester
Fall

Description
PSYC202 Chapter 5 ­ Z­Scores: Location of Scores and Standardized Distributions 5.1 Introduction To Z­Scores ­ 1 purpose is to identify and describe the exact location of every score in a  distribution ­ Calculation requires mean and standard deviation ­ Z scores can also be used to standardize a distribution  ▯makes it easier to  compare distributions even though they may have been quite different prior to  standardization  ▯now info all the same (all z­scores) 5.2 Z­Scores and Location in a Distribution ­ Z­score: specifies the precise location of each X value within a distribution. The sign of  the z­score (+ or ­) signifies whether the score is above or below the mean. The numerical  value signifies the distance from the mean by counting the number of standard deviations  between X and the mean.  ­ Example: if mean is 100 and standard deviation is 15, a score of X=130 would be  transformed into a z­score of +2.00 (two SD points – 15+15 –from 100 is 130) ­ Z Formula: Z=  X­          σ - Determining araw scorefrom az-score: X = µ+(z)(σ) 5.3 Using Z­Scores to Standardize a Distribution ­ Shape: changing X scores into z­scores does not affect the shape of the distribution in  any way.
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