7
QuizMultiple Choice

Sampling Methods — Quiz

Question 7 • Grade 7 Mathematics

Kari plans to sample 20 people of a population that contains 100 students. She wants to determine how many people wake up before 6 a.m. Which sample is the most random?

Answer
A
the last 20 people in line for breakfast in the cafeteria
B
the first 20 students who arrive at school in the morning
C
5 students out of each of the 4 homeroom classes
D
all 20 boys on the swim team

Explanation

Taking 5 students from each of the 4 homeroom classes includes students from across the population, rather than selecting a group based on a trait that may relate to waking early. The other choices could be biased: breakfast-line and early-arriving students may be more likely to wake early, and swim-team members are a specific group. So the most random sample is 5 students from each homeroom class.

AI-written and checked against the verified answer.

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