COLLEGE Measures of variation Who is the most consistent Basketball player?" Mike and Dave are the top players in a Basketball league. The table shows the number of points scored by Mike and Dave over the course of 20 games in the league. Game Mike Dave Game Mike |Dave 24 23 11 26 24 2 19 19 12 22 22 3 24 26 13 27 25 4 20 24 14 23 24 5 25 20 15 27 27 6 21 21 16 23 23 7 25 23 17 28 24 8 21 24 18 24 28 9 26 25 19 29 24 10 22 29 20 24 25 An award has to be given to the more consistent player of the two. The decision has to be made mathematically. As you remember we solved this problem in class making frequency tables and histograms. Notice that another way to solve this problem is measuring the variation of the scores for each player. Below are other ways that solve this problem! (1) Using the five-number summary: Give the five-number summary and draw a boxplot for each of the data sets. Mike's sorted scores: Dave's sorted scores: (a) Mike: (b) Dave: . Minimum = . Minimum . First quartile = First quartile Median = Median= . Third quartile = Third quartile = Maximum Maximum =