You want to estimate the number of students who bring their lunch to school every day. Which of the following is the best sample for this situation?

Responses

80 students selected at random during lunch

45 first-year students selected at random

all members of the Math Club

50 female students selected at random

Option 1: 80 students selected at random during lunch would be a good sample if you wanted to estimate the total number of students at lunch in general, but it may not be the best sample for estimating the number of students who bring their lunch to school every day.

Option 2: 45 first-year students selected at random would not be a good sample for estimating the number of students who bring their lunch to school every day because it only includes first-year students and may not be representative of the entire student population.

Option 3: All members of the Math Club would not be a good sample for estimating the number of students who bring their lunch to school every day because it is a specific group of students with a shared interest, which may not be representative of the entire student population.

Option 4: 50 female students selected at random may provide a more representative sample for estimating the number of students who bring their lunch to school every day, as it includes a diverse range of students and is not limited to a specific group or time of day. Therefore, option 4 is the best sample for this situation.

The best sample for estimating the number of students who bring their lunch to school every day would be "80 students selected at random during lunch." This sample includes a diverse group of students who are likely to represent the entire student population.