Sampling and Experimentation — Test

Question 2 • Statistics

Race organizers want to survey the participating runners on the quality of the running course. Which of the following uses systematic random sampling?

Answer

Select the first 15 finishers and the last 15 finishers to take the survey.

Select the 5th finisher (with the number 5 being randomly chosen) to survey, then survey every 15th finisher after that.

Sort all of the runners’ names alphabetically, then randomly choose 2 letters and survey all participants whose last name begins with one of those letters.

Randomly select 15 percent of the male participants and 15 percent of the female participants.

Explanation

Systematic random sampling starts at a randomly selected point and then selects participants at a fixed interval. Choice B randomly chooses the starting finisher and surveys every 15th finisher afterward, so it is systematic random sampling. The other choices use positions, name groups, or separate subgroups rather than a random start followed by a regular interval.

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