1. One way of obtaining information from data is through measures of Central Tendency. Although there are several different words for average in mathematics (the course covered three} it is not always clear when either measure may not be appropriate in a situation. For this reason it is important to understand their basic differences. (a) Explain the difference between mean and median. {b} Give an example and explain when the use of mean would be inappropriate. 2. Consider the situation involving the employees of a particular company looking for a raise. The company pays its president $300,000. The vice-president gets paid $204,000. The foreman earns $50,000. The reaming 40 workers earn an average (mean) of approximately $37,000. All salaries are annually based. a. The union representative wants to negotiate new wages for the 40 workers of the company. In the negotiation should the representative emphasize the mean, median or mode of the 40 employees? Which one would most help their case? Must explain answer for full grade. b. The company's attorney is also part of the negotiations. Which of the three measures would the attorney stress in the negotiations to help their case? Must explain answer for full grade. c. An independent analyst is hired to offer counsel in the matter. If you are the independent analyst which of the three measures of Central Tendency would you recommend? Explain your answer with at least one reason as evidence