In the 2009-2010 academic year, many public universities in the United States raised tuition and fees due to a decrease in state subsidies. The change in the cost of tuition, a shared dormitory room, and the most popular meal plan from the 2008-2009 academic year for a sample of 10 public universities were as follows: $, 1589, $593, $1223, $869, $423, $1720, $708, $1425,$922,and $308.
1. What is the arithmetic mean and median change in the cost?
2. What is the geometric mean change in the cost?
3. What is the five number summary of the change in the cost?
4. what is the standard deviation of the change in the cost?
5. the middle 50% of the change in the cost is spread over what value?
6. what is the coefficient of variation of the change in cost?
7. What are the Z scores for each of the 10 universities' change in cost?
8. are the data skewed? if so, how?
9. are there any outliers in the change in cost?
10. construct a boxplot of this sample ( lable axis and the five-number summary.)