## Chapter 5: z-Scores • Location of Scores and Standardized Distributions

### Introduction

- What is a z-Score?
### Location of Scores

- Where is a Score Located Within its Distribution?
- Example | Identifying z-Scores
- Example | Location of a Raw Score
- Example | Convert a Raw Score (x) to a z-Score
- Example | Convert a z-Score to a Raw Score (x)
### The z-Score Formula

- The z-Score Formula
- Convert a Raw Score (x) to a z-Score ...with the z-Score Formula
- Convert a z-Score to a Raw Score (x) ...with the z-Score Formula
- Using the z-Score Formula to Find the Standard Deviation
- Using the z-Score Formula to Find the Mean
### Standardizing a Distribution with z-Scores

- Using z-Scores to Standardize a Distribution
- The Shape of a Distribution of z-Scores
- The Mean of a Distribution of z-Scores
- The Standard Deviation of a z Distribution
### Why Use z-Scores?

- Comparing Scores From Different Distributions
- Transforming the Mean and Standard Deviation of a Distribution
### z-Scores and Samples

- Converting a Sample Raw Score (x) to a z-Score
- Converting a z-Score to a Sample Raw Score (x)
- Finding the Sample Mean From a z-Score
- Finding the Sample Standard Deviation From a z-Score

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