Note: More than one statement could be true. If none of the statements is true,

Question

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

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

Two years ago 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 exactly $39,000.

Last year all of their clients had a starting salary of less than $43,000
.

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.

Explanation / Answer

As average salary >39000, though there may be some employees getting less than 39000, average should be >39000

Hence

Last year more than half of their clients had a starting salary of at least $39,000, is true.

Last year some of their clients had a starting salary of exactly $39,000.-- This may be true because average >39000, if other employees get more than 39000.

Last year all of their clients had a starting salary of less than $43,000 -- This also may be true as their salary may be between 39000 and 43000

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