Here are the summary statistics for mathematics scores for one high-school graduating class, and the parallel boxplots comparing the scores of male and female students. Write a brief report on these results. Be sure to discuss center and variation.
◦ Median score by females at 66 points is 3 points higher than that by males. The middle 50% for both group is close with a IQR at 30 for the males and 26 for the females. The males have a smaller range from 36 to 98. The distribution is right-skewed for the males and symmetric for the females.
◦ Median score by females at 66 points is 3 points higher than that by males. The middle 50% for both group is close with a IQR at 26 for the males and 30 for the females. The males have a larger range from 30 to 100. Both distributions are right-skewed.
◦ Median score by females at 66 points is 3 points higher than that by males. The middle 50% for both group is close with a IQR at 26 for the males and 30 for the females. The males have a smaller range from 36 to 98. Both distributions are left-skewed.
◦ Median score by females at 66 points is 3 points higher than that by males. The middle 50% for both group is close with a IQR at 26 for the males and 30 for the females. The males have a larger range from 30 to 100. The distribution is slightly right-skewed for the males and symmetric for the females.
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. In which distribution is the mean more “typical” of all scores?
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