Problem-Solving and Data AnalysisEasy–MediumThe population a random sample can speak for
Problem-Solving and Data Analysis practice question
A survey of 200 students selected at random from all students at Northfield High School found that 45% of them walk to school. Which of the following is the largest group to which the 45% estimate can reasonably be generalised?
- A. All students at Northfield High School.Correct
- B. All high-school students in the country.
- C. Only the 200 students who were surveyed.
- D. All residents of the town where the school is located.
Answer: A. All students at Northfield High School.
The sample was drawn at random from Northfield's students, so it represents that population. It says nothing reliable about other schools or non-students.
Why the other answers are wrong
- B. All high-school students in the country.
- Students at other schools were never in the population sampled; walking rates could differ greatly elsewhere.
- C. Only the 200 students who were surveyed.
- Because the sample was random, it supports an estimate for the whole school, not just the 200 asked.
- D. All residents of the town where the school is located.
- Town residents who aren't Northfield students weren't sampled at all.
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