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) 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 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

Required:
a. Make a stem-and-leaf display for the first-round scores.
b. Make a stem-and-leaf display for the fourth-round scores.
c. Describe how the two plots' overall shapes differ.

The first-round scores show a tighter cluster around the 70-74 range with fewer extreme values, while the fourth-round scores have a slightly wider distribution with scores spanning a larger range.

To create stem-and-leaf displays for the first-round and fourth-round scores of the U.S. Open Golf Tournament, we will organize the data in a tabular format. A stem-and-leaf display helps to visualize the distribution of data while retaining the individual data points. Each data point is split into a stem (leftmost digits) and a leaf (rightmost digit).

a. Stem-and-Leaf Display for First-Round Scores:

Stem Leaves

6 5

6 5 6 7 9 9

7 0 0 0 1 1 1 1 1 1 1 1 2 2 3 3 3 3 3 4 4 4 5 5 5 5

b. Stem-and-Leaf Display for Fourth-Round Scores:

stem Leaves

6 8 9 9

7 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 2 2 2 3 3 3 4 4 4

c. Comparison of the Two Plots:

The stem-and-leaf displays for the first-round and fourth-round scores reveal some differences in the distributions of scores. Here's a comparison:

Center: The center of the first-round scores appears to be slightly higher than that of the fourth-round scores. In the first round, there is a cluster of scores in the 70-74 range, while the fourth round shows a wider distribution with more scores in the 68-74 range.

Spread: The spread of scores in the fourth round seems to be slightly wider, with some scores as low as 68 and as high as 74, while the first-round scores are more concentrated in the 70-75 range.

Skewness: The first-round scores exhibit a slight negative skewness (left-skewed) with more scores on the higher end, while the fourth-round scores appear to be more symmetric.

For more such question on extreme values visit:

https://brainly.com/question/30760554

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