Assuming that average refers to the mean, which of the following claims must be

ID: 3379969 • Letter: A

Question

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.

Last year at least one of their clients had a starting salary of at least $39,000.

Last year some of their clients had a starting salary of more than $36,000.

Last year some of their clients had a starting salary of exactly $39,000.

This year at least one of their clients will have a starting salary of at least $39,000

None of the above statements is true.

A job placement agency advertised that last year its clients, on average, had a starting salary of $39,000.

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.

Last year fewer than half of their clients had a starting salary of $39,000 or less. [FALSE, we cannot say this unless we know the distirbution]

Last year at least one of their clients had a starting salary of at least $39,000. [TRUE]

Last year some of their clients had a starting salary of more than $36,000. [TRUE, as the mean is already greater than 36000]

Last year some of their clients had a starting salary of exactly $39,000. [FALSE, the mean need not be an observed value.]

This year at least one of their clients will have a starting salary of at least $39,000 [FALSE. we cannot say for sure what will happen next year.]