Stats Doesnt Suck

5: z-Scores / Normal Distribution

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Chapter Content

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