Question
The basketball players at Rafael’s middle school are selling T-shirts, and he wants to determine the average number of shirts that have been sold. First he surveyed five members of the 7th-grade boys basketball team. Then he surveyed every third basketball player on the boys and girls 6th- through 8th-grade basketball teams. Which sampling technique should produce a more representative sample?
The first sampling method (7th graders) is the most representative.
The second sampling method (6th–8th graders) is the most representative.
Both samples should be exactly the same.
Neither sample will be representative.
The first sampling method (7th graders) is the most representative.
The second sampling method (6th–8th graders) is the most representative.
Both samples should be exactly the same.
Neither sample will be representative.
Answers
GPT-4o mini
The second sampling method (surveying every third basketball player on the boys and girls 6th- through 8th-grade basketball teams) is the most representative.
This is because it includes a broader range of students from multiple grades (6th, 7th, and 8th) and both boys and girls teams, which helps to capture a more diverse perspective regarding the average number of T-shirts sold. The first method (surveying only five members of the 7th-grade boys basketball team) is limited in scope and does not reflect the entire basketball population at the school.
Therefore, the more representative sample would come from the second sampling method.
This is because it includes a broader range of students from multiple grades (6th, 7th, and 8th) and both boys and girls teams, which helps to capture a more diverse perspective regarding the average number of T-shirts sold. The first method (surveying only five members of the 7th-grade boys basketball team) is limited in scope and does not reflect the entire basketball population at the school.
Therefore, the more representative sample would come from the second sampling method.