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Answer :
Answer:
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Step-by-step explanation:
Given the following data:
First round of scores :
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
STEM AND LEAF PLOT of 1st ROUND SCORES:
Stem - - | - - Leaf
______________
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 5 5
- - - | - - 5 5 5 5 5
Second round scores :
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
STEM and LEAF PLOT of 2nd ROUND SCORES:
Stem - - | - - Leaf
______________________________
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
Both set of data have similar shape, showcasing what we can call a negative skew with the tail to the leaf and peak to the right of the distribution.
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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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