HIGHLINE SCHOOL DISTRICT                                               School:  __________________

 2

SECOND YEAR MATH OLYMPIAD  March 21, 1998

Grade:  _________

Probability and Statistics

Team Number:  _________

1.         A baseball team has players that are 12, 9, 11, 8, 12, 9, 9, 8 and 12 years old.  What is the difference between the median and mean ages of the team?

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2.         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?

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3.         What is the probability of drawing 4 spades in a row out of a deck of 52 cards? (Express your answer as a fraction reduced to lowest terms.)

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4.         A baseball league has nine teams.  During the season, each of the nine teams plays exactly 3 games with each of the other teams.  What is the total number of games played?

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5.         An ice cream shop offers a two scoop sundae with the following choices.  How many combinations of sundae can be made?

 Container (choose 1) Ice cream flavor (choose 2) Toppings (choose 1) Sauce (choose 1) ·        Cup ·        Waffle cone ·        Sugar cone ·        Vanilla ·        Chocolate ·        Strawberry ·        Cherry ·        Nuts ·        Chocolate chip ·        Cherry ·        Granola ·        Fudge ·        Caramel ·        Butterscotch

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