Suppose you are looking for a job. You interview with a company that has 10 general employees each make $100 per day, 7 assistants each make $400 per day, 3 managers each make $900 per day, and the owner who makes $1900 per day. The interviewer tells you that the average salary and median is $400 per day. This Company is offering you a job at $110 per day.

From what you have learned so far in calculating central tendency, which method would you use to make your decision and why?

To make your decision, you can use the median as a measure of central tendency. The median is the middle value in a data set when it is arranged in ascending or descending order. In this case, the median salary is $400 per day.

By comparing the offered salary of $110 per day to the median salary of $400 per day, you can determine that the offered salary is significantly lower than the median. This suggests that the offered salary may not be competitive or in line with the salaries of other employees in the company.

Therefore, based on the median salary, it would be advisable to carefully consider whether the offered salary of $110 per day is reasonable and meets your financial expectations.

To make your decision, you can use either the average salary or the median salary as a measure of central tendency. Let's understand how each method can be helpful in this situation:

1. Average Salary: The average salary, also known as the mean, can be calculated by summing up all the salaries and dividing it by the total number of employees. In this case, the interviewer stated that the average salary is $400 per day.

To calculate the average salary, you would need to multiply the number of employees in each category by their respective salaries, add up all the individual salaries, and then divide by the total number of employees.

2. Median Salary: The median salary is the middle value in a set of salaries when they are arranged in ascending or descending order. In this scenario, the interviewer mentioned that the median salary is also $400 per day.

To determine the median salary, you would need to sort the salaries in ascending order and find the middle value. If there is an even number of salaries, you would take the average of the two middle values.

Considering the given information, both the average and median salaries are $400 per day. However, it's important to note that the offered job comes with a salary of $110 per day, which is considerably lower than the average or median. Therefore, using either the average or median salary would indicate that the job offer is below the expected salary range for the company.

Based on this information, you may need to consider negotiating a higher salary or exploring other job opportunities that provide a more competitive compensation package.