Question

jordan wants to know if the students at his school like to eat school lunches. so, he plans to ask a small sample of them. pick all the ways of sampling the students that would produce a representative sample. jordan randomly chooses 10 students in each of the 3 lunch periods. then, he asks those students. jordan asks his principal for a list of the students in his school. then, he randomly picks 30 students to ask. jordan randomly picks a lunch period. during that period, he asks the first 30 students in the lunch line.

Explanation:

• For the first option: Randomly choosing students from each lunch period spreads the sample across different times, increasing representativeness.
• For the second option: Randomly picking from the whole school list gives every student an equal chance of being selected.
• For the third option: Randomly picking a lunch period and then the first 30 in line (though not a perfect random sample within the period, it still has some randomness in period selection) can provide a sample that may represent the student body regarding lunch preferences.

Answer:

All three options (the first, second, and third) are ways of sampling that could produce a representative sample.