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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

___________