Chapter 5: zScores • Location of Scores and Standardized Distributions

Introduction
 What is a zScore?

Location of Scores
 Where is a Score Located Within its Distribution?
 Example  Identifying zScores
 Example  Location of a Raw Score
 Example  Convert a Raw Score (x) to a zScore
 Example  Convert a zScore to a Raw Score (x)

The zScore Formula
 The zScore Formula
 Convert a Raw Score (x) to a zScore ...with the zScore Formula
 Convert a zScore to a Raw Score (x) ...with the zScore Formula
 Using the zScore Formula to Find the Standard Deviation
 Using the zScore Formula to Find the Mean

Standardizing a Distribution with zScores
 Using zScores to Standardize a Distribution
 The Shape of a Distribution of zScores
 The Mean of a Distribution of zScores
 The Standard Deviation of a z Distribution

Why Use zScores?
 Comparing Scores From Different Distributions
 Transforming the Mean and Standard Deviation of a Distribution

zScores and Samples
 Converting a Sample Raw Score (x) to a zScore
 Converting a zScore to a Sample Raw Score (x)
 Finding the Sample Mean From a zScore
 Finding the Sample Standard Deviation From a zScore
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