Question

a random sample of 40 college professors is selected from all professors at a university. the following list gives their ages.
65, 44, 46, 48, 31, 56, 48, 42, 44, 25, 58, 65, 56, 40, 63,
67, 52, 44, 54, 29, 36, 69, 44, 43, 32, 33, 47, 30, 28, 41,
67, 38, 37, 44, 28, 32, 48, 39, 34, 50.
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:

• Option A: The stem - leaf plot doesn't give information about the lifespan of college professors, so this is incorrect.
• Option B: The data includes ages like 25, 28, 30, etc., which are less than 30, so it is possible to be a college professor younger than 30, making this option incorrect.
• Option C: By looking at the stem - leaf plot (or the data set), we can count the number of professors in their 40s. The ages in the 40s are 44, 46, 48, 44, 43, 44, 41, 48, 44, etc. When we count them, we find that the number of professors in their 40s is relatively large compared to other age groups (visually from the stem - leaf plot or by counting the data points). So this statement "The greatest number of college professors are in their 40s" is correct.
• Option D: Since option C is correct, this is incorrect.

Answer:

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