99 employees in a factory earn a salary of $28,000 per year, while the CEO makes $766,000 annually. What are the mean and median salaries for all 100 people? Is the mean or the median the more appropriate measure of "center" in this case? Explain.

I have been working at this all evening and can not seem to feel comfortable with my solutions. Could some help me please and show me how the answer was found. Thank you!

To find the mean salary for all 100 people, we would add up all the individual salaries and divide by the total number of people. Similarly, to find the median salary, we would arrange all the salaries in order and find the middle value.

Let's start with the mean salary calculation:
- First, we need to calculate the total salaries earned by all employees. For the 99 employees earning $28,000 per year, the total salary earned by them would be 99 x $28,000 = $2,772,000.
- Adding the CEO's salary of $766,000, the total salary for all 100 people would be $2,772,000 + $766,000 = $3,538,000.
- To find the mean, we divide the total salary by the number of people: $3,538,000 / 100 = $35,380.

Therefore, the mean (or average) salary for all 100 people is $35,380.

Now let's calculate the median salary:
- We have a total of 100 people, and to find the median, we need to arrange all the salaries in order from lowest to highest.
- Since all 99 employees earn $28,000 each, we can consider all of their salaries as equal. Therefore, we have 99 employees earning $28,000 and one CEO earning $766,000.
- If we arrange the salaries in order, we would have 99 times $28,000 followed by $766,000.
- The median would be the middle value, which in this case is the 50th value. Since all 99 employees earn the same salary, the 50th value would also be $28,000.

Therefore, the median salary for all 100 people is $28,000.

In this case, the median salary of $28,000 is the more appropriate measure of "center" or typical salary because it is not influenced by the extreme value of the CEO's salary. The mean salary of $35,380 is heavily influenced by the CEO's high salary and may not provide a representative value of the salaries earned by the majority of employees. The median provides a clearer reflection of the typical salary earned by the employees in the factory.