Question

GUIDED EXERCISE 4 STEM-AND-LEAF DISPLAY What does it take to win at sports? If you're talking about basketball, one sportswriter gave the answer. He listed th e winning scores of the conference championship games over the last 35 year. The scores for those games folow below. 132 118 124 109 104101 125 83 116 106 119 110 105 128 112 126 105 102 To make a stem-and-leaf display, we'll use the first two digits as the stems 131 98 125 97 106 112 92 120 103 117 (see Figure 2-16). Notice that the distribution of scores is fairly symmetrical. FIGURE 2-16 Winning Scores Use the first two digits as the stem.Then order the leaves. Provide a label that shows the mean- (a) 08 1 3 represents 083 or 83 points 08 3 09 27 89 10 1 2 345566 9 11 0 1 2 2 2 2677 89 12 0 4 556 8 13 1 25 14 3 ing and units of the first stem and first leaf (b) Looking at the distribution, would you say that itYes. Notice that stem 11 has the most data. is fairly symmetrical?

Answer 1

In order to get the stem leaf plot, you will first need to sort the data in ascending order.

So, you will get-

083, 092, 097, 098, 099, 101, 102, 103, 104, 105, 105, 106, 106, 109, 110, 111, 112, 112, 112, 112, 116, 117, 117, 118, 119, 120, 124, 125, 125, 126, 128, 131, 132, 135, 143.

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08	3, represents 83 points

08	3
09	2 7 8 9
10	1 2 3 4 5 5 6 6 9
11	0 1 2 2 2 2 6 7 7 8 9
12	0 4 5 5 6 8
13	1 2 5
14	3

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As we can see from the plot, the distribution is approximately symmetrical as the values are equally divided on both side of stem 11.