Name Date Class s6

Name Date Class

1.2 Practice B

Data Gathering

Decide whether the sampling method could result in a biased sample. Explain your reasoning.

1. A survey at a school is conducted by asking 100 students chosen randomly from the school population how many times a week they eat in the school cafeteria.

2. A survey of the community is conducted by asking the first 25 persons passing through the entrance gate to the football field if the school should drop the sports programs.

3. A survey is conducted by asking every fifth person boarding a commuter train for one day how many times per week they use public transportation to get to work.

Decide whether the results of the survey are likely to be representative of the population. Explain.

4. The manager of a store that sells DVDs wants to know which types of movies teenagers like to buy. He asks the first 25 teenagers who come into his store to rate comedies, drama, action, and thriller movies on a scale of 1 to 10.

5. A national health and nutrition store chain wants to know if a new line of vitamins would be bought by adults over the age of 21. It takes a survey of 1000 families randomly selected from a nation-wide telephone directory.

6. The campaign manager for a state senator wants to know how many voters are likely to vote for his candidate. He programs the computer to make 100 random phone calls to constituents and asks them to name their choice for senator.

One hundred students out of 1200 at a school have been surveyed. The results are recorded in each problem below. Predict the number of students in the population that would answer similarly.

7. Forty said they attended one sporting event per week.

8. Seventy-five said they ate lunch in the cafeteria.

9. Fourteen said they had an after-school job.

10. Eighty-four said they planned to study math for four years.

Holt McDougal Advanced Algebra

Name Date Class

1.2 Problem Solving

One hundred students out of 1100 at a school were surveyed. The results are recorded in each problem below. For Exercises 1–4, predict the number of students in the population that would answer similarly.

1. Eighty-two students said they would take a study hall
or resource period if it were offered. ______

2. Twelve students said they were members of the after-
school music program. ______

3. Ninety-four students said they used the Internet for
their homework. ______

4. Thirty-two students said they drove to school. ______

5. The principal wanted to know if he should allow cell phones in the classroom. He surveyed the students in Algebra 2 class. Decide whether the sampling method could result in a biased sample. Explain your reasoning.

6. A discount store chain wants to know how often families in a certain area would shop regularly at a discount store. Their representative surveys 100 people at a mall in the same area. Are his results likely to be representative of the population? Explain.

Select the best answer.

Holt McDougal Advanced Algebra

Name Date Class

7. The director of the Glee Club would like to know if her Booster Club parents would do a fundraiser. Which sampling method is most likely to yield an accurate prediction of the population?

A Survey every 3rd Booster Club parent who comes to a fundraiser meeting.

B Survey every 10th Booster Club parent who comes to a fundraiser meeting.

C Survey only the parents who respond to a letter from the director.

D Survey only the parents who run the Booster Club.

8. The principal of the school would like to determine if the cafeteria should sell snacks during non-lunch hour periods. Which sampling method is most likely to yield an accurate prediction of the population?

F Survey every 20th student who enters the cafeteria during lunch hour.

G Survey 50 random students each from the 9th, 10th, 11th, and 12th grades.

H Survey the first 25 students that walk into the school.

J Survey the entire 12th grade class.

Holt McDougal Advanced Algebra