Question
a. What is the range of scores for Student A? For Student B? Based on this measure of dispersion, which distribution is more spread out?
a. What is the range of scores for Student A? For Student B? Based on this measure of dispersion, which distribution is more spread out?
b. What are the appropriate measures of central tendency for the distributions of scores for student A and student B? Calculate these
measuresseparatelyfor student A and Student B, and report each.
c. Why should we "beware of the mean"? Which distribution of scores above (student A or student B) is a good illustration of that warning? Calculate the adjusted mean to deal with this problem.
d. Calculate the standard deviation for student A and student B (using the regular, un-adjusted mean). Explain why these standard deviation calculations are different for student A as compared to student B.
e. Calculate the Z-score for the quiz score of 7 for student B. What does this Z score tell us about the score of 7 for student B? What percentage of scores fall above a score of 7 for student B?
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