Marcus wants to perdict the next student council president.He polls every fourth person from each grade level as they exit the cafeteria.In his poll, 65% chose Sophia.So, Marcus perdicts Sophia will win the election.what type of sample was taken
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The type of sample that Marcus used in this situation is called a systematic sampling. In systematic sampling, you select every kth element from a population, where k is a constant. In this case, Marcus chose to poll every fourth person from each grade level as they exit the cafeteria. This means that he had a fixed pattern of selecting students to participate in the poll.
By polling every fourth person, Marcus created a systematic sample that represents a subset of the population. He used this sample to make predictions about the entire population of students and concluded that Sophia is likely to win the election, based on the results of his poll.