Grade 12 Math: Sampling Methods Worksheet

Grade 12 Math: Sampling Methods

Read each question carefully and provide the best answer. Show all your work for short-answer questions.

1. A researcher wants to study the average height of students in a large university. They decide to select every 50th student from an alphabetical list of all enrolled students. What type of sampling method is this?

2. Which of the following sampling methods is most likely to introduce bias if specific groups within the population are intentionally over- or under-represented?

3. In a  , the population is divided into homogeneous subgroups, and then a simple random sample is drawn from each subgroup.

4. A   occurs when every member of the population has an equal chance of being selected for the sample.

5. When a sample is chosen based on ease of access and proximity to the researcher, it is called a  .

6. A larger sample size always guarantees a more accurate representation of the population.

7. In cluster sampling, the population is divided into groups, and then a random sample of these groups is selected, with all individuals within the selected groups being included in the sample.

8. A school principal wants to survey student opinions on a new lunch menu. Describe how she could use a stratified random sampling method to ensure opinions from all grade levels (9-12) are adequately represented.

9. Explain the difference between voluntary response bias and nonresponse bias in surveys. Provide an example of each.

Match each sampling method with its description.