Sampling and Experimentation — Test

Question 4 • Statistics

A teacher has 36 students who are sitting in 6 rows of 6 desks. He wants to survey the students about the homework policy. Which of the following uses cluster sampling?

Answer

List all of the students alphabetically. Survey the 2nd person (with the number 2 being randomly chosen), then survey every 5th student after that.

Randomly assign the students to desks. Number the rows 1 to 6. Use a random number table to select a number from 1 to 6, then survey every student in that row.

Randomly assign the students to desks, and number the students 01–36. Use a random number table to generate a sample of students.

List all of the students alphabetically. Survey 1 randomly chosen student whose last name begins with A , then continue the process through the alphabet.

Explanation

Cluster sampling divides the population into groups, randomly selects one or more groups, and surveys everyone in the selected group. In choice B, the teacher randomly selects a row and surveys all 6 students in that row. Choice A is systematic sampling, while choice C selects individual students at random.

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