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Z-Scores_Sp08_BB

# Z-Scores_Sp08_BB - Lecture Outline The Normal Distribution...

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Comparing a score to the population Lecture Outline • The Normal Distribution • The Standard Normal Distribution and Z- Scores The Normal Distribution A Normal Distribution: Example

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The Normal Distribution • Unimodal & Continuous (from – to + infinity) • Symmetrical • Most of the scores fall near the center • Area under the curve is equal to 1. • Defined by the mean and standard deviation of the distribution – Saw for IQ that the mean was 100 & standard deviation was 15 The Standard Normal Curve - + Lecture Outline • The Normal Distribution • The Standard Normal Distribution and Z- Scores Z-scores • Describe where a given score fits in a distribution of scores • Describes a score in terms of how much above or below the average it is – The mean of a Z-distribution is 0 – The standard deviation of a Z-distribution is 1. - +
Example • Jerome rates himself a 5 on a 1-7 scale of morning-person-ness – 5 is Jerome’s raw score. • What if we know that, for students in general, the mean is 3.40 and the standard deviation 1.47 Z scores • A z score is the number of standard deviations the actual score is above or below the mean – If the score is above the mean, the z score is + – If the score is below the mean, the z score is – • Jerome’s score is 1.60 units above the mean of 3.40 • One standard deviation is 1.47 units, so

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Z-Scores_Sp08_BB - Lecture Outline The Normal Distribution...

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