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For Exercises 1–6, refer to the table. The table shows the ages of actors who starred in a successful television series.

Ages of Actors (yr)

44 10 24 35 29

28 29 18 50 23

24 26 8 34 20

24 25 29 15 30

1. Find the measures of center of the data.

2. Determine the appropriate measure of center a middle-aged actor could use to help convince a television show producer to hire him.

3. Find the measures of variability and any outliers for the data.

4. Explain what the measures of variability tell you about the data.

5. Find the mean absolute deviation for the data set. Round to the nearest tenth.

6. Describe what the mean absolute deviation represents.

For Exercises 7 and 8, use the double box plot that shows student test scores for two classrooms.

40 50 60 70 80 10090

Room 14

Room 12

Test Scores

7. Which class had a greater range of scores?

8. Write an inference you can make about the populations.

9. The manager of a recycling center wants to know how many of his customers recycle their batteries. After calling and surveying every fifteenth customer listed in his files, he finds that 46% of them recycle their batteries. He concludes that about half of his customers recycle their batteries. Is this conclusion valid? Justify your answer.

Test, Form 3B

1.

2.

3.

4.

5.

6.

7.

8.

9.

mean: 26.25; median: 25.5; mode: 24 and 29

none of them

R: 42; M: 25.5; Q1: 21.5; Q3: 29.5; IR: 8; outliers: 8, 44, 50

See Answer Key.

7.2

Sample answer: The average distance between the mean age of a TV series actor and the actual age is about 7 years.

Room 12

See Answer Key.

yes; Sample answer: The conclusion is valid since he used an unbiased random sample.

Program: Pre-Algebra

Vendor: Aptara

Component: C10_CT

Grade: AMPDF_Pages

254 Math Accelerated • Chapter 10 Statistics and Probability

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.Test, Form 3B (continued)

10. A survey in one middle school showed that 2 out of 9 students helpcook meals at home. Predict the number of students that help cook meals at home if there are 774 students in the school.

11. One of the five equal sections of a spinner is blue. The spinner landed on the blue section 20 of the 85 times that it was spun. Compare the theoretical probability of the spinner landing on blue to the experimental probability.

12. A co-ed softball team consists of 5 males and 9 females. How many males should be added to the team so that the probability of randomly choosing a male player from the team is about 65%?

13. An interior decorator needs to buy bedroom furniture for a model home. She plans to select one item each from 7 dressers, 4 beds, 6 lamps, and 9 night tables. Find the total number of outcomes.

14. A basket contains red, green, and yellow peppers. A pepper is selected at random. If P(red) = 3 − 5 and P(yellow) = 1 − 4 , what is P(green)?

15. The experimental probability of a quarter landing on heads is 3 − 5 . If the quarter landed on tails 36 times, how many times was the coin tossed?

16. An auto dealership is handing out one coupon per customer worth 5%, 10%, or 20% off the purchase of a new car. Each coupon is equally likely to be handed out. Describe a model that could be used to simulate this situation.

10.

11.

12.

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15.

16.

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theoretical probability (20%) < experimental probability (24%)

12 males

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See students’ work.

Program: Pre-Algebra

Vendor: Aptara

Component: C10_CT

Grade: AMPDF_Pages

Math Accelerated • Chapter 10 Statistics and Probability 255

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