Other Sampling Methods — Quiz

Question 4 • Statistics and Probability

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.

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.

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.

Explanation

Cluster sampling selects entire groups (clusters) at random and surveys everyone in the chosen group. In D, the teacher randomly picks one row and surveys every student in it, so the row is the cluster. The other choices select individual students or parts of groups rather than surveying a whole randomly selected group.

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