Question

A weight-loss clinic advertised that last month its patients, on average, lost 8lb. Assuming that average refers to the mean, which of the following claims must be true based on this information?

Note: More than one statement could be true. If none of the statements are true, mark the appropriate box.

(A) Two months ago some of their patients lost at least 8lb
(B) Last month at least one of their patients lost more than 2lb
(C) Last month at least one of their patients lost exactly 8lb
(D) Last month some of their patients lost 8lb or more.
(E) Last month, the number of their clients who lost 8lb or more was equal to the number of their clients who lost 8lb or less.
(F) None of the above statements are true.

Answer 1

B, D

Explanation:

A: I'm struggling because its telling us that the patients from two months ago but not last month.

B: Yes, there must be some patients lost more than 8lb for the calculation of average.

C: No, the average could be the middle number of two data, some patients may lost exactly 8lb but not absolutely.

D: Yes, like what's on choice B, there must be some patients lost more than 8lb to ensure the average data is equal to 8lb, unless everyone is losing 8lb exactly.

E: No, the data and the number of patients are not exactly the same, for example if two patients are losing 1lb and another patients is losing 22lb, the average is still 8lb.

F: Definitely not ture, we already found two choices correct.