8
QuizMultiple Choice

Other Sampling Methods

Question 8 • VA-Probability and Statistics

A teacher is interested in students’ opinions about an upcoming school dance. Which of the following techniques uses systematic random sampling?

Answer
A
Survey the first 10 students who arrive.
B
Survey every 10th classroom as the teacher walks down the hallway.
C
Survey the 10th student arriving at school (with the number 10 being randomly chosen), then survey every 12th student after that.
D
Survey the 10th student arriving at school (with the number 10 being randomly chosen), then survey every other boy and every other girl after that.

Explanation

Systematic random sampling starts with a randomly chosen starting point, then selects people at a regular interval. In choice C, the teacher randomly selects the 10th student as the starting point and then surveys every 12th student. Choice A has no random selection or regular interval, and choice B does not specify a random start.

AI-written and checked against the verified answer.

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