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Chapter 5: Z-Scores - Coggle Diagram
Chapter 5: Z-Scores
Using Z-Scores
You can find a raw score from a Z-Score if you know the standard deviation and the mean by multiplying the z-score by the standard deviation and then adding the mean.
Further, if you know any three of the required elements of the z-score formula (raw score, z-score, standard deviation, or mean) you can find the missing element by solving the formula for that element!
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Z-Scores communicate distance from the mean, which can be helpful to identify outlying scores across multiple distributions
Z-Score: A measure of a score's location in a distribution based on its distance from the mean in standard deviations. Indicated if it is below or above the mean by a positive or negative value
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Creating Z-Scores
Formula: Score minus mean, divided by the standard deviation
Deviation Score: The "score minus mean" portion of the formula which measures the distance between the score and the mean
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The deviation score is divided by the standard deviation to convert it to standard deviations as a unit of measurement
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Raw Scores: Original scores before any transformation is done to them to make them more reportable, such as converting to z-scores.
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