Question
The principal at Marina Middle School wants to determine if the 120 students in the seventh grade prefer to visit the aquarium or the science museum for their end-of-year trip. Select all the sets of people that would be a representative sample of the population.
20 sixth-grade students, 20 seventh-grade students, and 20 eighth-grade students
10 seventh-grade boys and 10 seventh-grade girls
25 seventh-grade students
15 seventh-grade boys and 5 teachers
25 students from the school
20 sixth-grade students, 20 seventh-grade students, and 20 eighth-grade students
10 seventh-grade boys and 10 seventh-grade girls
25 seventh-grade students
15 seventh-grade boys and 5 teachers
25 students from the school
Answers
GPT-4o mini
To determine a representative sample of the seventh-grade students at Marina Middle School, we should focus on samples that include only seventh-grade students, as the principal is specifically interested in the preferences of this grade.
Here are the options evaluated:
1. **20 sixth-grade students, 20 seventh-grade students, and 20 eighth-grade students**: This is not a representative sample of the seventh graders because it includes students from other grades.
2. **10 seventh-grade boys and 10 seventh-grade girls**: This is a representative sample of the seventh graders as it focuses solely on seventh-grade students and considers gender representation.
3. **25 seventh-grade students**: This is also a representative sample because all the participants are seventh graders.
4. **15 seventh-grade boys and 5 teachers**: This is not a representative sample of the seventh graders because it includes teachers, who are not part of the seventh-grade population.
5. **25 students from the school**: This is not a representative sample of the seventh graders unless it specifies that these 25 students are all from the seventh grade. Without that information, this sample could include students from other grades.
Based on the evaluations, the following sets are representative samples of the seventh-grade students:
- **10 seventh-grade boys and 10 seventh-grade girls**
- **25 seventh-grade students**
Here are the options evaluated:
1. **20 sixth-grade students, 20 seventh-grade students, and 20 eighth-grade students**: This is not a representative sample of the seventh graders because it includes students from other grades.
2. **10 seventh-grade boys and 10 seventh-grade girls**: This is a representative sample of the seventh graders as it focuses solely on seventh-grade students and considers gender representation.
3. **25 seventh-grade students**: This is also a representative sample because all the participants are seventh graders.
4. **15 seventh-grade boys and 5 teachers**: This is not a representative sample of the seventh graders because it includes teachers, who are not part of the seventh-grade population.
5. **25 students from the school**: This is not a representative sample of the seventh graders unless it specifies that these 25 students are all from the seventh grade. Without that information, this sample could include students from other grades.
Based on the evaluations, the following sets are representative samples of the seventh-grade students:
- **10 seventh-grade boys and 10 seventh-grade girls**
- **25 seventh-grade students**