Question

which sample fairly represents the population? select two options. measuring the height of every fiftieth person on the school roster to determine the average height of the boys in the school calling every third person on the soccer teams roster to determine how many of the team members have completed their fundraising assignment observing every person walking down main street at 5 p m. one evening to determine the percentage of people who wear glasses sending a confidential e-mail survey to every one-hundredth parent in the school district to determine the overall satisfaction of the residents of the town taking a poll in the lunch room (where all students currently have to eat lunch) to determine the number of students who want to be able to leave campus during lunch

Explanation:

• For the first option, measuring the height of every fiftieth person on the school roster to determine the average height of the boys in the school: This is a form of systematic sampling. If the school roster is comprehensive and the sampling interval is appropriate, it can give a representative sample of the boys in the school.
• For the second option, calling every third person on the soccer team's roster to determine how many of the team members have completed their fundraising assignment: The population here is the soccer - team members. Since the sampling is done from the entire soccer - team roster (assuming it is a complete list of team members) using a systematic sampling method (every third person), it can represent the soccer - team population.
• For the third option, observing every person walking down Main Street at 5 p.m. one evening to determine the percentage of people who wear glasses: The population is all people (in a general sense). However, people walking down Main Street at 5 p.m. on a single evening may not represent all people. For example, it excludes people who are at home, at work (in non - street - facing jobs), etc.
• For the fourth option, sending a confidential e - mail survey to every one - hundredth parent in the school district to determine the overall satisfaction of the residents of the town: The population is the residents of the town. But parents in the school district are only a subset of the town's residents. Non - parents (e.g., single young adults, elderly without children in the school system) are excluded, so it does not represent the entire town's residents.
• For the fifth option, taking a poll in the lunch room (where all students currently have to eat lunch) to determine the number of students who want to be able to leave campus during lunch: Since all students have to eat lunch in the lunch room, the sample (students in the lunch room) is the entire population of students (for the context of this question). So it is a census (a special case of a sample that is the whole population) and can represent the student population.

Answer:

• B. calling every third person on the soccer team's roster to determine how many of the team members have completed their fundraising assignment
• E. taking a poll in the lunch room (where all students currently have to eat lunch) to determine the number of students who want to be able to leave campus during lunch