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.
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 |
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.)
-In the fourth round, both the low and high scores were more extreme than in the first round.Scores are higher in the first round.In the first round, both the low and high scores were more extreme than in the fourth round.Scores are higher in the fourth round
-Scores are higher in the first round
-In the first round, both the low and high scores were more extreme than in the fourth round.
-Scores are higher in the fourth round
SOLUTION:
Given the 32 scores of player in first round are as below.
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 |
Given the 32 scores of players in fourth round are 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)
Now consider from the data given for first round scores , the stem-and-leaf plot is as below:-
First Round scores.
Stem | Leaf |
6 | 6,7,7 |
7 | 0,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,3,3,4,4,4,5,5,5,5,5,5,5,5 |
8 | 5 |
(b)
Now consider from the data given for fourth round scores , the stem-and-leaf plot is as below ;-
Stem | leaf |
6 | 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 |
8 | 8,9,9 |
(c)
From part (a) and part (b) it is observed that,
Scores are higher in fourth round.
PLEASE KINDLY GIVE ME LIKE
option (c) is correct.
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