Here are boxplots of the points scored during the first 10 games of the basketball season for both Caroline and Alexandra. Summarize the similarities and differences in their performance so far.
◦ Both girls have a median score of about 18 points per game. Alexandra is much more consistent, because her IQR is about 15 points, while Caroline's is over 3. In other words, Alexandra has less variation in her scores than does Caroline. The distribution of scores for both women is symmetric.
◦ The girls have a different average score per game. Caroline is much more consistent, because her IQR is about 4 points, while Alexandra's is over 15. In other words, Alexandra has more variation in her scores than does Caroline. The distribution of scores for Caroline is symmetric, while the distribution of scores for Alexandra is left-skewed.
◦ Both girls have a median score of about 18 points per game. Caroline is much more consistent, because her IQR is about 6 points, while Alexandra's is over 20. In other words, Alexandra has more variation in her scores than does Caroline. The distribution of scores for Caroline is right skewed, while the distribution of scores for Alexandra is bell-shaped.
◦ Both girls have a median score of about 18 points per game. Caroline is much more consistent, because her IQR is about 4 points, while Alexandra's is over 15. In other words, Alexandra has more variation in her scores than does Caroline. The distribution of scores for both women is symmetric.
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