PSY 2106 Chapter Notes - Chapter 5: Standard Deviation

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You receive a score of x = 76 on an. You know the mean is = 70. Figure a shows a standard deviation of = 3. Your score is an extreme score (and the highest) o f x = 76 is in the tail of the distribution. Figure b shows a standard deviation of = 12. Your score of x = 76 in this case is just above the average. In a, a score of x = 76 would be transformed into z = +2. 00. The z value indicated that the score is located above the mean (+) by a distance equal to 2 standard deviations (6 points) In b, a score of x = 76 would be transformed into z = or z = +0. 50. The score is above the mean (+) by a distance of a standard deviation (6 points). Transforming these raw scores (scores that lack information) into values with more information is one use for z-scores.

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