A researcher measures students interest in statistucs on a scale from 1-20 the d

Question

A researcher measures students interest in statistucs on a scale from 1-20 the data is presented below in the table. Use the data to compute (1) the mean and standard deviation. then (2) compute the Z score for each individual and (3) the percent of scores that are above and below that score. Finally, (4) select Z score that is below the mean and above the mean and interperate the Z score for each. Your answers should be in the table

X x-m (X-M)^2 Z % between (optional) % Above % Below 9 12 16 6 10 13

Explanation / Answer

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X X-M (X-M)^2 Z-Score % Above % Below 9 -2 4 -0.58 0.719 0.281 12 1 1 0.29 0.3859 0.6141 16 5 25 1.44 0.0749 0.9251 6 -5 25 -1.44 0.9251 0.0749 10 -1 1 -0.29 0.6141 0.3859 13 2 4 0.58 0.281 0.719 Mean, M 11 Sample Variance 12 Sample SD 3.464101615

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