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HIGHLINE SCHOOL DISTRICT   School:  __________________

FIRST YEAR MATH OLYMPIAD  March 21, 1998

                                                                                                                               Grade:  _________

Probability and Statistics

                                                                                                                Team Number:  _________

 

1.         The scores of a class of 11 students on a math quiz are as follows:

 

            88,   91,   70,   75,   95,   100,   85,   75,   88,   92,   75

 

            What are the mean, mode, median and range of these scores?  Round the mean to the nearest tenth. 

 

 

 

                                     mean ___________                                                mode ___________

 

                                 median ___________                                                range ___________

 

2.         What is the probability of rolling a sum of 10 or higher with 2 standard dice? (Express your answer as a fraction reduced to lowest terms.)

 

 

 

                                                                                                                                         ___________

 

3.         The average of five numbers is 6.  If one of the five numbers is removed, the average of the four remaining numbers is 7.  What is the value of the number that was removed?

 

 

 

                                                                                                                                         ___________

 

4.         In his first 4 basketball games, Dunking Dan Dorfman scored 19, 31, 12, and 9 points.  How many points must he score in his fifth game to have an average of exactly 20 points per game?

 

 

 

                                                                                                                                         ___________

 

5.         What is the probability of drawing an ace of spades or a diamond out of a standard deck of 52 cards?  Express your answer as a fraction in reduced form

 

 

 

 

                                                                                                                                         ___________