The annual salaries of six staff members at a local college are ​$29 comma 800​, ​$30 comma 500​, ​$39 comma 600​, ​$36 comma 000​, ​$43 comma 750​, and ​$31 comma 600. Find the median salary.

Answer 1

To find the median salary of the six staff members, you'll need to follow these steps:

1. List the salaries in ascending order.
2. Determine the median. Since there is an even number of salaries (six in this case), the median will be the average of the two middle numbers.

Let's start with the ascending order:

$29,800, $30,500, $31,600, $36,000, $39,600, $43,750

Next, find the two middle numbers. For six numbers, the middle numbers are the third and fourth numbers:

$31,600 and $36,000

To find the median, we calculate the average of these two middle numbers:

\[
\text{Median} = \frac{31,600 + 36,000}{2} = \frac{67,600}{2} = 33,800
\]

Therefore, the median salary is $33,800.