18. A random sample of 40 college professors is selected from all professors at a university. The following li gives their ages. 64, 41, 46, 43, 38, 58, 44, 43, 49, 28, 59, 68, 50, 42, 66, 61, 53, 45, 56, 21, 30, 61, 48, 46, 36, 33, 41, 33, 25, 47, 69, 36, 35, 46, 20, 32, 42, 33, 38, 52. Construct a stem-and-leaf plot for the data. Complete parts a. and b. a. Determine the leaves for each corresponding stem. Complete the table below. (Use ascending order.) Stem 2 3 4 5 6 Leaves b. What does the shape of the display reveal about the ages of the professors? A. The greatest number of college professors are in their 40s. B. If you are younger than 30, you cannot be a college professor. C. None of the college professors live to be 70 years old. D. None of the above.

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### Stem-and-Leaf Plot Exercise

#### Problem Statement:
A random sample of 40 college professors is selected from all professors at a university. The following list gives their ages:

64, 41, 46, 43, 38, 58, 44, 43, 49, 28, 59, 68, 50, 42, 66, 61, 53, 45, 56, 21, 30, 61, 48, 46, 36, 33, 41, 33, 25, 47, 69, 36, 35, 46, 20, 32, 42, 33, 38, 52.

#### Task:
Construct a stem-and-leaf plot for the data. Complete parts a. and b.

**a. Determine the leaves for each corresponding stem. Complete the table below.**

*(Use ascending order.)*

| Stem | Leaves      |
|------|-------------|
| 2    |             |
| 3    |             |
| 4    |             |
| 5    |             |
| 6    |             |

**b. What does the shape of the display reveal about the ages of the professors?**

- A. The greatest number of college professors are in their 40s.
- B. If you are younger than 30, you cannot be a college professor.
- C. None of the college professors live to be 70 years old.
- D. None of the above.

#### Analysis:

- **Stem-and-Leaf Plot Explanation:** 
  - In a stem-and-leaf plot, the "stem" represents the tens digit(s) of the data and the "leaf" represents the units digit.
  - This plot is useful for displaying the distribution of numerical data.

**Note:** As per the educational nature of this content, users should fill out the table and analyze the data according to the given instructions.
Transcribed Image Text:### Stem-and-Leaf Plot Exercise #### Problem Statement: A random sample of 40 college professors is selected from all professors at a university. The following list gives their ages: 64, 41, 46, 43, 38, 58, 44, 43, 49, 28, 59, 68, 50, 42, 66, 61, 53, 45, 56, 21, 30, 61, 48, 46, 36, 33, 41, 33, 25, 47, 69, 36, 35, 46, 20, 32, 42, 33, 38, 52. #### Task: Construct a stem-and-leaf plot for the data. Complete parts a. and b. **a. Determine the leaves for each corresponding stem. Complete the table below.** *(Use ascending order.)* | Stem | Leaves | |------|-------------| | 2 | | | 3 | | | 4 | | | 5 | | | 6 | | **b. What does the shape of the display reveal about the ages of the professors?** - A. The greatest number of college professors are in their 40s. - B. If you are younger than 30, you cannot be a college professor. - C. None of the college professors live to be 70 years old. - D. None of the above. #### Analysis: - **Stem-and-Leaf Plot Explanation:** - In a stem-and-leaf plot, the "stem" represents the tens digit(s) of the data and the "leaf" represents the units digit. - This plot is useful for displaying the distribution of numerical data. **Note:** As per the educational nature of this content, users should fill out the table and analyze the data according to the given instructions.
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