The U.S. Open Golf Tournament was played at Congressional Country Club, Bethesda
ID: 3366448 • Letter: T
Question
The U.S. Open Golf Tournament was played at Congressional Country Club, Bethesda, Maryland, with prizes ranging from $465,000 for first place to $5000. Par for the course is 70. The tournament consists of four rounds played on different days. The scores for each round of the 32 players who placed in the money (more than $17,000) are given. The scores for the first round were as follows. 1 65 67 73 74 73 71 71 74 73 71 70 75 71 72 71 75 75 71 71 74 75 66 75 75 75 71 72 72 73 71 67 The scores for the fourth round for these players were as follows. 69 69 73 74 72 72 70 71 71 70 72 73 73 72 71 71 71 69 70 71 72 73 74 72 71 68 69 70 69 71 73 74 (a) Make a stem-and-leaf display for the first-round scores. Use two lines per stem. (Enter your answers from smallest to largest separated by spaces. Enter NONE for stems with no leaves.) First-Round Scores (b) Make a stem-and-leaf display for the fourth-round scores. Use two lines per stem. (Enter your answers from smallest to largest separated by spaces. Enter NONE for stems with no leaves.) Fourth-Round Scores (c) Compare the two distributions. How do the highest scores compare? How do the lowest scores compare? (Select all that apply.) Scores are higher in the fourth round. In the fourth round, both the low and high scores were more extreme than in the first round O In the first round, both the low and high scores were more extreme than in the fourth round Scores are higher in the first round.Explanation / Answer
Solution :
(a) Given that The scores for the first round is
71,65,67,73,74,73,71,71,74,73,71,70,75,71,72,71,75,75,71,71,74,75,66,75,75,75,71,72,72,73,71,67
=> to ordering form is 65,66,67,67,70,71,71,71,71,71,71,71,71,71,71,72,72,72,73,73,73,73,74,74,74,75,75,75,75,75,75,75
stem | Leaf
-------------------------------------
6 | None
6 | 5 6 7 7
7 | 0 1 1 1 1 1 1 1 1 1 1 2 2 2 3 3 3 3 4 4 4
7 | 5 5 5 5
(b) Given that the scores of fourth round is
69,69,73,74,72,72,70,71,71,70,72,73,73,72,71,71,71,69,70,71,72,73,74,72,71,68,69,70,69,71,73,74
To ordering form is 68,69,69,69,69,69,70,70,70,70,71,71,71,71,71,71,71,71,72,72,72,72,72,72,73,73,73,73,73,74,74,74
stem | Leaf
------------------------------------
6 | None
6 | 8 9 9 9 9 9
7 | 0 0 0 0 1 1 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 4 4 4
7 | None
(c) Option d. Scores are higher in the first round
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