Final answer:
Based on the claim of the diet plan that individuals lose an average of 2 pounds per week, following the diet for 4 weeks should result in an average weight loss of 8 pounds. The provided statements do not accurately reflect this claim, so the correct statement cannot be determined from the given options.
Step-by-step explanation:
If a diet plan claims that people following it will lose an average of 2 pounds per week, and this rate remains constant, then an individual who follows the diet for 4 weeks can expect to lose an average of 4 weeks × 2 pounds/week = 8 pounds in total. To address the given statements:
- Statement A suggests that one fourth of the members lost exactly two pounds. This statement does not align with the average weight loss of 2 pounds per week over 4 weeks.
- Statement B suggests that the middle 50 percent of the members lost between two and 8.5 pounds, but without additional information about the distribution of weight loss, this cannot be verified.
- Statement C notes that most people lost 3.5 to 4.5 pounds, yet according to the diet plan's claim, the average loss should be 8 pounds over 4 weeks.
- Statement D claims that all of the above choices are correct, which is not possible given their individual inaccuracies.
Therefore, based on the provided information, the correct statement cannot be determined from the options given because they do not correctly reflect the average change in weight according to the diet plan's claim.