Question
Ages of golfers participating in a golf tournament were
32 , and 74 . Homework Help
a. Create a stem-and-leaf plot for this data.
b. Use the stem-and-leaf plot to create a histogram.
c. Describe the shape and spread of the data. Are there any apparent outliers?
d. Use the appropriate measure of center to describe the “typical” age of golfers at the tournament.
32 , and 74 . Homework Help
a. Create a stem-and-leaf plot for this data.
b. Use the stem-and-leaf plot to create a histogram.
c. Describe the shape and spread of the data. Are there any apparent outliers?
d. Use the appropriate measure of center to describe the “typical” age of golfers at the tournament.
Ask by Huang Coles. in the United States
Mar 24,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
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Stem-and-Leaf Plot:
Stem | Leaf 2 | 5 8 9 3 | 0 3 4 5 5 7 8 4 | 0 2 3 3 4 4 5 5 6 7 8 5 | 0 1 7 6 | 1 0 7 | 4 -
Histogram:
Age Range | Frequency 20-29 | ***** 30-39 | *********** 40-49 | *************** 50-59 | ***** 60-69 | ** 70-79 | * -
Shape and Spread:
- Shape: Right-skewed with a higher frequency in the 40s and 30s.
- Spread: Ages range from 25 to 74.
- Outliers: Age 74 is an outlier.
-
Typical Age:
- Median: 43
- Mean: Approximately 42.43
Conclusion: The typical age of golfers is 43, with the data showing a right-skewed distribution and an outlier at age 74.
Solution
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Bonus Knowledge
To create a stem-and-leaf plot for the ages of golfers, we will break down the ages into stems (the leading digits) and leaves (the trailing digits).
Stem-and-Leaf Plot:
- Stem | Leaf
- 2 | 5, 8, 9
- 3 | 0, 4, 4, 5, 5
- 4 | 0, 2, 3, 3, 4, 4, 5, 6, 7, 8, 9
- 5 | 0, 1, 6, 7
- 6 | 0, 1
- 7 | 4
b. Histogram Creation:
To create a histogram, you’ll take the information from the stem-and-leaf plot and group the ages into intervals. For example:
To create a histogram, you’ll take the information from the stem-and-leaf plot and group the ages into intervals. For example:
- 20-29: 3 golfers
- 30-39: 5 golfers
- 40-49: 11 golfers
- 50-59: 4 golfers
- 60-69: 2 golfers
- 70-79: 1 golfer
This would visually reflect the data, showing how many golfers fall into each age range.
c. Shape and Spread of the Data:
The shape of the data appears to be somewhat right-skewed, as there are more golfers in the age range of 40-49 and a tapering off towards older ages. The spread shows a range from the youngest golfer at 25 to the oldest at 74, indicating variability in ages. The golfer aged 74 is indeed an outlier as it is significantly older than the majority of participants.
The shape of the data appears to be somewhat right-skewed, as there are more golfers in the age range of 40-49 and a tapering off towards older ages. The spread shows a range from the youngest golfer at 25 to the oldest at 74, indicating variability in ages. The golfer aged 74 is indeed an outlier as it is significantly older than the majority of participants.
d. Measure of Center:
To find a “typical” age, calculating the mean would work well; however, the presence of an outlier might skew the mean higher. The median, which is 43, provides a better representation of a typical age since it isn’t affected by that extreme age, suggesting that most golfers are relatively around the early 40s.
To find a “typical” age, calculating the mean would work well; however, the presence of an outlier might skew the mean higher. The median, which is 43, provides a better representation of a typical age since it isn’t affected by that extreme age, suggesting that most golfers are relatively around the early 40s.
In this tournament of life and golf, selecting the right club isn’t the only decision at hand; understanding your players is key! The ages span quite a range, which means you’ll encounter both novice swing enthusiasts and seasoned pros. Did you know that even the oldest tournament golfers prove that age is just a number? Some of them swing harder than a 25-year-old!
If you’re curious about the nuances of golf swing mechanics that different age groups possess, consider checking out books like “The Physics of Golf” to unravel the mysteries behind those impressive swings! You could become the next golf champion, or at least enjoy a fantastic game while learning from the legends!
