Question

Use the data below to answer a, b, & c below (use the insert table function to construct the 2 stem and leaf displays). Don't forget to use a titles and keys. Split Stem: Golf The U.S. Open Golf Tournament was played at Congressional Country Club, Bethesda, Maryland, with prizes ranging from $465,000 for 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) were given on the website. 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 the same 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 as explained in 2.3 notes. b. Make a stem and leaf display for the fourth-round scores. Use two lines per stem as explained in 2.3 notes. c. Describe how the 2 plots overall shapes differ.

Answer 1

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

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.

Answer 2

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

a. Make a stem and leaf display for the first-round scores. Use two lines per stem

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

The scores for the fourth round for the same 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

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

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 |