If the median annual salary for 4 employees is $60,000, then which of the following must be true?
A. 2 people earn $60,000 a year or less, and 2 people earn $60,000 a year or more.
B. 2 people earn less than $60,000 a year, and 2 people earn more than $60,000 a year.
C. At least one person earns exactly $60,000 a year.
D. The mean and mode are also $60,000.

Respuesta :

Answer:

A. 2 people earn $60,000 a year or less, and 2 people earn $60,000 a year or more.

Step-by-step explanation:

When a data set has an even number of values, the median is the average or mean of the two middle values. In this case, the median is $60,000. The two middle salaries could be equal (both could be exactly $60,000). This eliminates answer choice B. On the other hand, it is possible that none of the employees have a salary of exactly $60,000. (For example, salaries of $20,000, $40,000, $80,000, and $90,000 would give you a median of $60,000.) That example eliminates answer choices C and D. So, the answer must be A. In general, the median divides a data set into two groups: values that are less than or equal to the median value, and values that are greater than or equal to the median value.