**WASHINGTON STATE MATHEMATICS COUNCIL**

**1997 MIDDLE SCHOOL MATH OLYMPIAD**

**FIFTH GRADE PROBABILITY & STATISTICS**

**SCHOOL ___________________________ TEAM_______ **

1). Find the mean, mode, median and range of this set of math test scores:
Express mean to the nearest tenth.

75, 92, 88, 75, 100, 96, 88, 90, 88, 78, 86

Mean:___________ Mode: __________

Median:_________ Range: _________

2). From a standard deck of 52 cards, what is the probability of randomly
drawing a diamond or a queen?

Answer:_________

3). A bag contains 5 red marbles, 3 green marbles, and 4 blue marbles.
How many green marbles must be added so that the probability of drawing
a green marble is 1/2?

Answer:_________

4). How many ways can a family of 5 be arranged in a straight line for
a family portrait?

Answer:_________

5). The field in the picture has shaded and unshaded regions. A helicopter
hovers over the field and drops a water balloon. What is the probability
that the balloon will land in a shaded area? Express your answer as a fraction
in simplest form.

Answer:_________