Eli is exploring career choices. After randomly surveying 40 companies, he determines that the annual median salary for a computer technician is $72,000. Which two statements are valid inferences for this situation?

Responses

A 50% of computer technicians earn more than $72,000 annually.50% of computer technicians earn more than $72,000 annually.

B 50% of computer technicians earn exactly $72,000 annually.50% of computer technicians earn exactly $72,000 annually.

C Most computer technicians earn at least $72,000 annually.Most computer technicians earn at least $72,000 annually.

D 50% of computer technicians earn less than $72,000 annually. 50% of computer technicians earn less than $72,000 annually.

E No computer technician earns more than $72,000 annually.No computer technician earns more than $72,000 annually.

3 answers

A and D are valid inferences for this situation.
why
A is a valid inference because the median salary is the value that separates the top and bottom 50% of salaries. Therefore, 50% of computer technicians earn more than $72,000 annually, and 50% earn less than $72,000 annually.

D is also a valid inference because if 50% of computer technicians earn more than $72,000 annually, then the other 50% must earn less than $72,000 annually.