Here Are the Summary Statistics for Mathematics Scores for One

question 34

Multiple Choice

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 shape,centre,and spread of the scores. $$\begin{array} { l | c | c | c | c | c | c | c | c } \mathbf { n } & \text { Mean } & \text { Median } & \text { SD } & \text { Min } & \text { Max } & \text { Q1 } & \text { Q3 } \\\hline \text { Male } & 17 & 60 & 63 & 18.6 & 30 & 100 & 52 & 78 \\\text { Female } & 18 & 65 & 66 & 17.7 & 36 & 98 & 50 & 80\end{array}$$

• A)Median score by females at 66 points is 3 points higher than that by males,and female mean is higher by 5.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 right-skewed for the females and symmetric for the males.
• B)Median score by females at 66 points is 3 points higher than that by males,and female mean is higher by 5.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.
• C)Median score by females at 66 points is 3 points higher than that by males,and female mean is higher by 5.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 right-skewed for the males and symmetric for the females.
• D)Median score by females at 66 points is 3 points higher than that by males,and male mean is higher by 5.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 larger range from 30 to 100.The distribution is right-skewed for the males and symmetric for the females.
• E)Median score by females at 66 points is 3 points higher than that by males,and female mean is higher by 5.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 30 to 100.Both distributions are left-skewed.

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