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]