Question

a random sample of 40 college professors is selected from all professors at a university. the following list giv 66, 48, 46, 42, 30, 51, 47, 44, 48, 21, 58, 62, 56, 44, 61, 68, 59, 49, 51, 28, 37, 68, 41, 45, 32, 39, 40, 31, 27, 44, 69, 31, 36, 41, 23, 34, 45, 33, 36, 54. construct a stem - and - leaf plot for the data. complete parts a. and b. b. what does the shape of the display reveal about the ages of the professors? ○ a. none of the college professors live to be 70 years old. ○ b. if you are younger than 30, you cannot be a college professor. ○ c. the greatest number of college professors are in their 40s. ○ d. none of the above.

Explanation:

• Analyze each option:
• Option A: Just because the sample doesn't have a 70 - year - old doesn't mean no college professor lives to 70. A sample is not the entire population.
• Option B: The data has professors in their 20s (e.g., 21, 23, 27, 28), so this statement is false.
• Option C: Count the leaves in the stem - and - leaf plot for stem 4 (40s). There are more leaves (representing data points) for stem 4 compared to other stems.

Answer:

C. The greatest number of college professors are in their 40s.