11. In 2017 the state University’s men’s basketball team finished the season ranked 43 out
of 143 men’s teams.  The women’ basketball team finished 20th out of 50 women’s
teams.    
 
a. Which team had a higher percentile ranking in 2017?  Show all your calculations
to support your answer.  
b. If you had the data on the total number of points scored by the state University
women’s team in each of their games in 2017, what would the mean and the
median each tell you and how would you compute each measure?

11. A city council consists of ten members.  Four are Democrats and six are Republicans.  
A committee of five to study transportation issues will be randomly selected.    
a. If one person on the council is chosen at random to draw the names out of a hat,
what is the probability that the person drawing the names is a Democrat?  
b. How many ways can the committee be formed if there are no restrictions on
composition?  
c. How many ways can 3 Republicans be chosen?  
d. How many ways can 2 Democrats be chosen?  
e. What is the probability that the random selection of the five–person committee
will result in 3 Republicans and 2 Democrats?

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