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Individual Rounds in the Math Masters Competitions are timed (10 minutes), and calculators are allowed.

Note: Test Preparation Packets containing hundreds of problems (fact drills, individual and team) from previous years' competitions can be ordered from Math Masters of Minnesota.

The following table shows the number of portable television sets in a random sample of 50 households.

Use the above information to answer questions 1-3.

1. What is the average number of television sets per household?

2. Find the median number of television sets for the 50 households.

3. What percent of households had more than 3 television sets each?

Congratulations! You have won one of the following prizes:

• a new car worth $11,000
• a diamond ring worth $5,000
• a camera worth $50

The fine print in the letter goes on to state:
The probability of winning the car is 3:2,000,000
The probability of winning the ring is 17:200,000
The probability of winning the camera is 1:1,000

Use the above information to answer questions 4-6.

4. Which prize is Henri most likely to receive?

5. If 2,000,000 such letters were mailed, we can assume that 3 cars are being given away. How many rings can we assume thay are giving away?

6. What is the total worth of the giveaway if we assume that every prize is claimed?

10,

2y,

3,

5y,

15y,

27

Note: 2y means 2 times y.

Use the above information to answer questions 7 and 8.

7. What is the value of y?

8. Find the median of the six numbers.