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Question
determine whether the data set is a population or a sample. explain your reasoning. the salary of each teacher in a school. choose the correct answer below. a. sample, because it is a collection of salaries for some teachers in the school. b. population, because it is a collection of salaries for all teachers in the school. c. sample, because it is a collection of salaries for all teachers in the school, but there are other schools. d. population, because it is a subset of all schools in the city.
To determine if the data set is a population or a sample, we recall the definitions: a population is the entire set of individuals or data points we are interested in, while a sample is a subset of the population. Here, the data set includes the salary of each teacher in a school, meaning it includes all teachers (the entire group of interest for this specific context, which is the teachers in this school). Option A is incorrect as it's not "some" teachers. Option C is incorrect because the definition of population here is about the teachers in this school, not other schools. Option D is incorrect as the data set is about teachers in one school, not a subset of all schools. Option B correctly identifies it as a population because it includes all teachers' salaries in the school.
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B. Population, because it is a collection of salaries for all teachers in the school.