Other Sampling Methods

Question 9 • VA-Probability and Statistics

A teacher has 36 students who were randomly assigned to 6 rows of 6 desks. She wants to survey the students about the homework policy. Which of the following uses cluster sampling?

Answer

Roll a fair number cube. Use the number rolled to pick a row of students. Survey every student in that row.

List the students according to their grade in the class. Survey one A student, one B student, etc.

For each row, flip a coin. If it is heads, survey all the boys in that row. If it is tails, survey all the girls in that row.

Select a student by rolling a fair number cube twice. The first roll gives the row number, and the second roll gives the seat number. Then repeat.

Explanation

Cluster sampling means dividing the population into groups, randomly choosing one or more whole groups, and surveying everyone in the selected group. In choice A, the teacher randomly selects a row and surveys every student in it, so the row is the cluster. Choice D selects individual students, which is a different sampling method.

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