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.
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.
A - 50% of computer technicians earn more than $72,000 annually. This is a valid inference because the given information states that the annual median salary for a computer technician is $72,000. The median salary represents the middle value, so 50% of computer technicians would earn more than this amount.
C - Most computer technicians earn at least $72,000 annually. This is a valid inference because the median salary of $72,000 represents the middle value, so it can be inferred that more than 50% of computer technicians earn at least this amount.