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?
___________
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?
___________
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.)
___________
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?
___________
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 |
___________