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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?

(4 Points)

Survey all students in the cafeteria on one day.

Ask 50 students in one 7th-grade class about their favorite lunch.

Randomly select 100 students from different grade levels and survey them.

Ask only the students who buy lunch every day about their favorite meal.
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(7.SP.A.1) A company wants to determine how many people prefer its new sports drink. They set up a sampling booth at a gym and survey 200 gym members. What is the main issue with this sampling method?
(4 Points)

The sample size is too small.

Only people who like sports drinks are surveyed.

The survey did not include a question about other drinks.

The results will not apply to other gyms.

1 answer

  1. Method for Obtaining a Representative Sample:

The best method for obtaining a representative sample of the 500 students is:

Randomly select 100 students from different grade levels and survey them.

This approach ensures diversity in the sample and minimizes bias, providing a better representation of all students' preferences.

  1. Main Issue with Sampling Method for the Sports Drink Survey:

The main issue with the sampling method is:

Only people who like sports drinks are surveyed.

This is a potential bias because it only includes gym members, who may have a preference for sports drinks, rather than representing the general population's preferences, including those who do not go to the gym or do not prefer the drink.