High School

Use the data below to answer parts (a), (b), and (c). Construct two stem-and-leaf displays using the insert table function. Don't forget to include titles and keys.

**Golf: The U.S. Open Golf Tournament**

The U.S. Open Golf Tournament was played at Congressional Country Club, Bethesda, Maryland, with prizes ranging from $465,000 for first place to $5,000. 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) were given on the website.

**Scores for the First Round:**

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

**Scores for the Fourth Round:**

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

Tasks:
a. Make a stem-and-leaf display for the first-round scores. Use two lines per stem as explained in the 2.3 notes.

b. Make a stem-and-leaf display for the fourth-round scores. Use two lines per stem as explained in the 2.3 notes.

c. Describe how the overall shapes of the two plots differ.

Answer :

Final answer:

The stem-and-leaf displays for the first and fourth round scores of the U.S. Open Golf Tournament depict the distribution of player scores. The displays show a difference in player scoring patterns, with the fourth round indicating improved golf performance.

Explanation:

First-Round Stem-and-Leaf Display

Title: First Round Scores at U.S. Open Golf Tournament

Key: 6 | 5 = 65

6 | 5 6 7 7
6 |
7 | 0 1 1 1 1 1 1 1 1 1
7 | 2 2 3 3 3 3 4 4 4 4 5 5 5 5 5
7 | 5

Fourth-Round Stem-and-Leaf Display

Title: Fourth Round Scores at U.S. Open Golf Tournament

Key: 6 | 8 = 68

6 | 8 9 9 9 9 9
6 |
7 | 0 0 0 1 1 1 1 1 1 1 1
7 | 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4
7 |

Comparison of the Plots

The overall shapes of the two stem-and-leaf displays show differences in distribution of scores. The first-round display has a concentration in the lower 70s range, with a relatively even spread of scores from 65 to 75.

In contrast, the fourth-round display shows a tighter clustering of scores around the par score of 70, with fewer high scores, indicating improved performance over the course of the tournament.

Answer:

a. First round

Stem | Leaf

6 |

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 5 5 5

b. Fourth round

Stem | Leaf

6 |

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 |

c. In the first plot the scores are more dispersed than in the second plot

Step-by-step explanation:

When two lines per stem are used, leafs from 0 to 4 goes in the first line of the stem, and leafs from 5 to 9 goes in the second line of the stem.