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?

Answer 1

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.