9
QuizMultiple Choice

Sampling Methods — Quiz

Question 9 • Grade 7 Mathematics

Nathan and Jordan design surveys to determine the average amount of time bicyclists in a race spend training each week. Nathan surveys every fifth bicyclist crossing the finish line after a race. Jordan surveys the first five bicyclists to finish the race. Which best explains which sample is likely to be the most valid?

Answer
A
Jordan’s because his sample contained elements of the population
B
Nathan’s because his sample contained elements of the population
C
Jordan’s because his sample was more random
D
Nathan’s because his sample was more random

Explanation

Nathan’s method selects every fifth bicyclist crossing the finish line, which is a systematic sampling method and is more likely to include a range of racers. Jordan surveys only the first five finishers, who may train differently from other bicyclists, so his sample could be biased. Both samples contain members of the population, so that does not distinguish them. The best choice is Nathan’s because his sample was more random.

AI-written and checked against the verified answer.

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