PSY 201 Chapter Notes - Chapter 5: Statistical Inference, Xm Satellite Radio, Standard Deviation

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Chapter 5: z-scores: location of scores and standardized distributions. The purpose of z-scores, or standard scores, is to identify and describe the exact location of each score in a distribution. Raw scores - original, unchanged scores that are the direct result of measurement. They tell us the exact location of the original x value within the distribution. This allows us to compare distributions, even though they may have been quite different before standardization. The z-score transforms each x value into a signed number so that: The sign tells whether the score is located above (+) or below (-) the mean. The number tells the distance between the score and the mean in terms of the number of standard deviations. The z-score measures distance in terms of standard deviation units. Formula for transforming scores into z-scores: z = (x - )/ To determine a raw score (x) from a z-score, use the formula: x = +z.

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