Question

A weight-loss clinic advertised that last month its patients, on average, lost 7 lb. 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 is true, mark the appropriate box.Two months ago at least one of their patients lost at least 7 lb.Last month at least one of their patients lost more than 3lb.Last month some of their patients lost exactly 7lb.Last month all of their patients lost at least 7 lb.Last month, the number of their clients who lost 7 lb or less was equal to the number of their clients who lost 7 lb or more.None of the above statements are true.

Answer 1

Given:

A weight-loss clinic advertised that last month its patients, on average, lost 7 lb.

The mean of the data summarizes an entire dataset with a single number representing the data centre point.

a) According to the definition of mean, as the average is 7 lb that means there are some patients who have lost more than 7 lb.

So, the first statement is not true.

b) This statement is true. it is possible that some patients lost more than 3 lb.

c) This statement is not true.

d) This statement is true.

Answer: option b) and d)