The annual salaries of the sales team at Pat's company are listed in the table below.

\begin{tabular}{|l|l|l|l|}
\hline
\[tex]$ 42,000 & \$[/tex] 80,000 & \[tex]$ 50,000 & \$[/tex] 56,000 \\
\hline
\[tex]$ 45,000 & \$[/tex] 63,000 & \[tex]$ 42,000 & \$[/tex] 70,000 \\
\hline
\end{tabular}

What is the mean salary of a salesperson at the company?

A. \[tex]$ 38,000
B. \$[/tex] 53,000
C. \[tex]$ 56,000
D. \$[/tex] 58,000



Answer :

To determine the mean salary of a salesperson at the company, we need to calculate the average of the given salaries. Here is the detailed, step-by-step solution:

1. List the given annual salaries:
[tex]\[ 42000, 80000, 50000, 56000, 45000, 63000, 42000, 70000 \][/tex]

2. Sum these salaries:
[tex]\[ 42000 + 80000 + 50000 + 56000 + 45000 + 63000 + 42000 + 70000 \][/tex]

3. Count the number of salaries to find the total number of salaries provided:
[tex]\[ \text{There are 8 salaries} \][/tex]

4. Calculate the mean salary by dividing the total sum of salaries by the number of salaries:
[tex]\[ \text{Mean Salary} = \frac{\text{Total Sum of Salaries}}{\text{Number of Salaries}} \][/tex]

Given the calculations have been performed correctly, the mean salary of a salesperson at the company is:
[tex]\[ \$ 56,000 \][/tex]

Thus, the correct answer is:
[tex]\[ \$ 56,000 \][/tex]