6 lbs . Assuming that average refers to the mean, which of the following claims

Question

6 lbs. Assuming thataverage 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.

Last month, the number of their clients who lost more than

6 lbs was equal to the number of their clients who lost less than 6 lbs.

Last month at least one of their patients lost exactly 6 lbs.

Two months ago some of their patients lost at least 6 lbs.

None of the above statements is true.

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

6 lbs. Assuming thataverage 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.

Explanation / Answer

It is given by the weight loss clinic on an average patients lose 6 lbs.

Last month at least one of their patients lost 6 lbs or more. This can be true as average is 6, some persons might have lost more than 6.

Last month some of their patients lost more than 9 lbs. -- This also may be true as though average is more than 6 lbs there may be some who lost more than 9 lbs.

Last month, the number of their clients who lost more than

6 lbs was equal to the number of their clients who lost less than 6 lbs.

-- Not true as in this case average = 6 lbs and not more than 6 lbs.

Last month at least one of their patients lost exactly 6 lbs

-- May be true.

Two months ago some of their patients lost at least 6 lbs.-- Cannot say as statement is given only for last month.

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