Assuming that average refers to the mean which of the follow

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 less than $45,000.

Last year at least one of their clients had a starting salary of exactly $40,000.

Last year more than half of their clients had a starting salary of at least $40,000.

This year some of their clients will have a starting salary of at least $40,000.

None of the above statements is true.

Solution

A job placement agency advertised that last year its clients, on average, had a starting salary of $40,000.

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 all of their clients had a starting salary of at least $40,000.

Last year at least one of their clients had a starting salary of less than $45,000.

Last year at least one of their clients had a starting salary of exactly $40,000.

Last year more than half of their clients had a starting salary of at least $40,000.

This year some of their clients will have a starting salary of at least $40,000.

None of the above statements is true.

The mean is the average of the numbers. All the numbers are not possible at least or above the mean. Half the observations above or below median not the mean. From last year salary, we cannot comment on this year salary. So answer is None of the above statements is true