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10transandzs.student.2008

# 10transandzs.student.2008 - Psyc 305 Week 6 Transformations...

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Psyc 305 Week 6 Transformations and Z-scores

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Goals for Today’s Class At the end of the class you should: Understand the meaning of, computation of, and use of Z-scores. Know how adding, subtracting, multiplying, and dividing by a constant affects a distribution. Know how to transform a raw score into a z-score. Know how to transform a z-score into a raw score. Know how to compare scores from different distributions by using z-scores and how to interpret the results. Know when the use of z-scores is appropriate.
Descriptive Statistics (simplify, summarize, and organize data) 1. frequency distributions 2. graphical representations of data 3. summary statistics a. measures of central tendency b. measures of variability c. measures of relationship (2 + variables)

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Two Points To Review 1. How are means and standard deviations computed and what affects them? 2. What’s important about judging how high/low (“good/bad”) a score is?
Bring to Class What happens to -- if --: Mean? Median? Mode? Range? Variance? Standard Deviation? Add Constant Multiply by Constant

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Computing the Mean when Adding a Constant M = X / N Income 1 1 2 2 3 2 4 3 5 3 6 3 7 4 8 5 9 7 10 10 40 : 10 = 4 1 2 3 4 5 6 7 8 9 10 ? Bonus 2 2 2 2 2 2 2 2 2 2 Median? Mode?
Computing Standard Deviation when Adding a Constant SD = (X-M) 2 / N Income 1 1-4=-3 2 2-4=-2 3 2-4=-2 4 3-4=-2 5 3-4=-1 6 3-4=-1 7 4-4= 0 8 5-4= 1 9 7-4= 3 10 10 -4=6 40 Income + Bonus 2 3-6=-3 2 4-6=-2 2 4-6=-2 2 5-6=-1 2 5-6=-1 2 5-6=-1 2 6-6= 0 2 7-6= 1 2 9-6= 3 2 12 -6=6 60 1 2 3 4 5 6 7 8 9 10

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10transandzs.student.2008 - Psyc 305 Week 6 Transformations...

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