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Descriptive Statistics and Psychological Testing

Descriptive Statistics and Psychological Testing By Stephen E. Brock, , NCSP California State University, Sacramento ..13% .13% -3sd -2sd -1sd Mean (Median & Mode) +1sd +2sd +3sd Below Average Low Average Average High Average Above Average Z- Score -3 -2 -1 0 +1 +2 +3 Z- Score IQ Score 55 70 85 100 115 130 145 IQ Score T- Score 20 30 40 50 60 70 90 T- Score Scaled Score 2 4 7 10 13 16 19

the standard deviation of scores obtained by the standardization sample (sd). Z-scores have a mean of 0 and a standard deviation of 1. A score that is one standard deviation below the mean has a Z-score of -1. A score that is at the mean would have a Z-score of 0. The formula for transforming a raw score into a Z-score is a follows:

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