PSY 2106 Lecture 4: Z-Scores and The Standardized Distribution Probability

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Lecture 4 z-scores & the standardized distribution probability. We have described distributions, now we will look at a single score. A single score does not tell where that score stands relative to the entire distribution. Knowing the mean of the distribution allows you to tell whether a score is above or below the average in that distribution. Example: an individual has a score of 56 on a physics test. What was the average: if the on the test is 50, the person is above average compared to the others who have taken the test. Knowing the standard deviation of the distribution tells you how much above or below the mean a specific score is, in relation to the spread of scores in that particular distribution. Suppose is 70 and the standard deviation is 3. The person with a score of 76 is two standard deviations above the mean.

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