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(Solved): 25. Best Paying College Degrees. Each year America.EDU ranks the best paying college degrees in Ame ...
25. Best Paying College Degrees. Each year America.EDU ranks the best paying college degrees in America. The following data show the median starting salary, the mid-career salary, and the percentage increase from starting salary to mid-career salary for the 20 college degrees with the hi ghest mid-career salary (America.EDU website). a. Using a class width of 10 , construct a histogram for the percentage increase in the starting salary. b. Comment on the shape of the distribution. c. Develop a stem-and-leaf display for the percentage increase in the starting salary. d. What are the primary advantages of the stem-and-leaf display as compared to the histogram? \begin{tabular}{|l|l|l|l|} \hline & A & B & C \\ \hline \( \mathbf{1} \) & Observation & x & \( y \) \\ \hline \( \mathbf{2} \) & 1 & \( \mathrm{~A} \) & 1 \\ \hline \( \mathbf{3} \) & 2 & \( \mathrm{~B} \) & 1 \\ \hline \( \mathbf{4} \) & 3 & \( \mathrm{~B} \) & 1 \\ \hline \( \mathbf{5} \) & \( \mathbf{4} \) & \( \mathrm{C} \) & 2 \\ \hline \( \mathbf{6} \) & 5 & \( \mathrm{~B} \) & 1 \\ \hline \( \mathbf{7} \) & 6 & \( \mathrm{C} \) & 2 \\ \hline \( \mathbf{8} \) & 7 & \( \mathrm{~B} \) & 1 \\ \hline \( \mathbf{9} \) & 8 & \( \mathrm{C} \) & 2 \\ \hline \( \mathbf{1 0} \) & 9 & \( \mathrm{~A} \) & 1 \\ \hline \( \mathbf{1 1} \) & 10 & \( \mathrm{~B} \) & 1 \\ \hline \( \mathbf{1 2} \) & 11 & \( \mathrm{~A} \) & 1 \\ \hline \( \mathbf{1 3} \) & \( \mathbf{1 2} \) & \( \mathrm{B} \) & 1 \\ \hline \( \mathbf{1 4} \) & 13 & \( \mathrm{C} \) & 2 \\ \hline \( \mathbf{1 5} \) & 14 & \( \mathrm{C} \) & 2 \\ \hline \( \mathbf{1 6} \) & 15 & \( \mathrm{C} \) & 2 \\ \hline \( \mathbf{1 7} \) & 16 & \( \mathrm{~B} \) & 2 \\ \hline \( \mathbf{1 8} \) & 17 & \( \mathrm{C} \) & 1 \\ \hline \( \mathbf{1 9} \) & 18 & \( \mathrm{~B} \) & 1 \\ \hline \( \mathbf{2 0} \) & 19 & \( \mathrm{C} \) & 1 \\ \hline \( \mathbf{2 1} \) & 20 & \( \mathrm{~B} \) & 1 \\ \hline \( \mathbf{2 2} \) & 21 & \( \mathrm{C} \) & 2 \\ \hline \( \mathbf{2 3} \) & 22 & \( \mathrm{~B} \) & 1 \\ \hline \( \mathbf{2 4} \) & 23 & \( \mathrm{C} \) & 2 \\ \hline \( \mathbf{2 5} \) & 24 & \( \mathrm{~A} \) & 1 \\ \hline \( \mathbf{2 6} \) & 25 & \( \mathrm{~B} \) & 1 \\ \hline \( \mathbf{2 7} \) & \( \mathbf{2 6} \) & \( \mathrm{C} \) & 2 \\ \hline \( \mathbf{2 8} \) & 27 & \( \mathrm{C} \) & 2 \\ \hline \( \mathbf{2 9} \) & 28 & \( \mathrm{~A} \) & 1 \\ \hline \( \mathbf{3 0} \) & 29 & \( \mathrm{~B} \) & 1 \\ \hline \( \mathbf{3 1} \) & 30 & \( \mathrm{~B} \) & 2 \\ \hline \( \mathbf{3 9} \) & & & \end{tabular} - Page 56, problems 25 (for part c, you would manually construct the stem-andleaf display)
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The concepts of frequency distribution, histogram, stemplot can be used to answer the given questions.
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