HIGHLINE SCHOOL DISTRICT                                                      School:   _________________

SECOND YEAR MATH OLYMPIAD March 25, 2000

2

 
                                                                                                               Team Number:  ___________

Probability and Statistics

                                                                                                              

 

1.         If you draw four cards from a standard deck of 52 cards, what is the probability that they will all be face cards?

 

 

 

_________________

 

2.         Find the mean, mode, median, and range of this data set.

            40, 15, 18, 26, 15, 42, 18, 15, 9

 

 

 

mean  _________________          mode  _________________

 

median  _________________       range  _________________

 

3.         Four CD’s were hurriedly put into the cases without making sure they were put into the correct cases.  What is the probability that they are all put into the correct cases?

 

 

 

_________________

 

4.         An election has the nominees shown.  Assuming one vote for each position, how many different ways can a ballot be filled out?

PRESIDENT

VICE-PRESIDENT

SECRETARY

Anne

Dave

Amy

Bart

Ellen

Jost

Ashley

Tim

 

 

 

_________________

 

5.         Twelve people are at a gathering.  If each shakes hands with each other person, how many handshakes take place?

 

 

 

_________________