The mean salary of 8 employees is $36000 and the median is $32000. This highest-paid employee gets a $2000 raise.

What is the new mean salary of the 8 employees?

median doesn't change. I just can't figure out the mean. I tried (36000+8000/8) but it wasn't right.

Mean: (36000+2000/8)

To find the new mean salary of the 8 employees after the highest-paid employee gets a $2000 raise, we need to determine the total salary of all 8 employees before and after the raise.

Here's how you can calculate it step by step:

1. Start with the given mean salary of $36000 for the 8 employees.
- Mean = Total Sum of Salaries / Number of Employees

2. Multiply the mean salary by the number of employees to find the total sum of salaries.
- Total Sum of Salaries = Mean Salary x Number of Employees

In this case, the total sum of salaries before the raise is:
Total Sum of Salaries = $36000 x 8 = $288000

3. As the highest-paid employee gets a $2000 raise, their salary increases by $2000.
- Let's denote the highest-paid employee's initial salary as X.
- X + $2000 = New salary of the highest-paid employee

4. Subtract the initial salary of the highest-paid employee from the total sum of salaries before the raise to find the sum of salaries for the remaining 7 employees.
- Sum of Salaries for the Remaining 7 Employees = Total Sum of Salaries - X

5. Add the new salary of the highest-paid employee to the sum of salaries for the remaining 7 employees to find the total sum of salaries after the raise.
- Total Sum of Salaries after the Raise = Sum of Salaries for the Remaining 7 Employees + (X + $2000)

6. Divide the total sum of salaries after the raise by the number of employees to calculate the new mean salary.
- New Mean Salary = Total Sum of Salaries after the Raise / Number of Employees

Let's plug in the numbers to find the new mean salary:

Total Sum of Salaries = $288000 (from step 2)
X = $32000 (median salary, which is the highest-paid employee's initial salary)

Sum of Salaries for the Remaining 7 Employees = $288000 - $32000 = $256000 (from step 4)

Total Sum of Salaries after the Raise = $256000 + ($32000 + $2000) = $288000 (from step 5)

New Mean Salary = $288000 / 8 = $36000

Therefore, the new mean salary of the 8 employees after the highest-paid employee gets a $2000 raise is $36000.