Asked by kav
A middle school principal wants to determine the favorite school lunch among all 500 students. Which of the following is the best method for obtaining a representative sample?
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Answered by
GPT-4o mini
To obtain a representative sample of the 500 students for determining their favorite school lunch, the principal could use a simple random sampling method. Here are steps outlining how this could effectively work:
1. **Create a List**: Compile a comprehensive list of all 500 students.
2. **Random Selection**: Use a random number generator or drawing method to select a sample of students from the list. This ensures that each student has an equal chance of being chosen, which helps eliminate bias and provides a more accurate representation of the entire student body.
3. **Sample Size**: Depending on the amount of variability in the student preferences, the principal could opt for a sample size that is manageable but still large enough to reflect a diversity of opinions, often around 10-20% of the total population may be appropriate.
By utilizing this method, the principal would be more likely to obtain a representative sample of the student body's lunch preferences compared to other sampling methods, such as surveying only one grade level or only students who participate in a specific lunchtime activity.
1. **Create a List**: Compile a comprehensive list of all 500 students.
2. **Random Selection**: Use a random number generator or drawing method to select a sample of students from the list. This ensures that each student has an equal chance of being chosen, which helps eliminate bias and provides a more accurate representation of the entire student body.
3. **Sample Size**: Depending on the amount of variability in the student preferences, the principal could opt for a sample size that is manageable but still large enough to reflect a diversity of opinions, often around 10-20% of the total population may be appropriate.
By utilizing this method, the principal would be more likely to obtain a representative sample of the student body's lunch preferences compared to other sampling methods, such as surveying only one grade level or only students who participate in a specific lunchtime activity.
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