7. There are two mathematical operations used when calculating a Z-score: a. First, we take each score, and the mean (re

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7 There Are Two Mathematical Operations Used When Calculating A Z Score A First We Take Each Score And The Mean Re 1 (56.01 KiB) Viewed 54 times

7. There are two mathematical operations used when calculating a Z-score: a. First, we take each score, and the mean (remember the mean was 80). Fill in the table and then make a dotplot for each. SCORE 61 65 65 73 75 77 78 78 79 80 80 80 80 81 81 88 89 93 98 99 SCORE - MEAN Dotplot for SCORE Dotplot for SCORE - MEAN 60 90 0 20 HH HHHHHH 70 80 100-20 -10 10 What happens to the shape, center, and variability when you subtract the mean from each score? b. Second, we take the SCORE - MEAN and by the standard deviation (remember the standard deviation is 10). Fill in the table and then make a dotplot for each SCORE - MEAN -19-15-15-7 -5 -3 -2 -2 -1 0 0 0 0 1 1 8 9 13 18 19 SCORE - MEAN SD Dotplot for SCORE- MEAN SD -2 -1 0 2 What happens to the shape, center, and variability when you divide by the standard deviation for each value? 8. Summarize: What happens to the shape, center and variability of a distribution when you ...add or subtract the same value a from each value? ...multiply or divide by the same value b from each value? 9. What is the mean and standard deviation of the distribution of Z-scores? Will this be true for any distribution of Z-scores? Explain.