Final answer:
The correct frequency distribution of favorite sports among 50 people surveyed is F-16, C-8, B-12, A-14, which shows most people prefer professional football and least prefer college football.
Step-by-step explanation:
To answer the student's question about their assignment on frequency distribution, we will analyze the given options for the frequency distribution of 50 people's favorite sports. Fifty people were asked to identify their favorite sport. Their responses were F = professional football, C = College football, B = Baseball, and A = Auto racing.
Let's look at the options provided:
- a. Frequency Distribution for the data is: F-12, C-8, B-16, A-14. Most data values are in Class B (Baseball), and fewest data values are in Class C (College football).
- b. Frequency Distribution for the data is: F-16, C-8, B-12, A-14. Most data values are in Class F (professional football), and fewest data values are in Class C (College football).
- c. Frequency Distribution for the data is: F-12, C-16, B-8, A-14. Most data values are in Class A (Auto racing), and fewest data values are in Class B (Baseball).
- d. Frequency Distribution for the data is: F-8, C-16, B-14, A-12. Most data values are in Class C (College football), and fewest data values are in Class F (professional football).
Now, considering the total number of responses should equal 50 since that is the number of people surveyed, we look for the distribution with numbers that add up to 50. Option b gives us F-16, C-8, B-12, A-14 which adds up to 50. Therefore, the correct frequency distribution is Option b: F-16, C-8, B-12, A-14 with the most data values in Class F (professional football) and the fewest in Class C (College football).