Mr. Wilson is giving his students a vocabulary test tomorrow over all the terms they have learned from this semester. Today, he
wants to determine how prepared the students are for the test. So, he writes each term on a note card and puts all the note cards in a paper bag. Then, he asks each student to come to his desk, select five note cards out of the bag, define those five terms, and then put the note cards back in the bag. He records the number of terms each student is correctly able to define. What is the population in this situation? What is the sample? Use complete sentences in your answer.
Do you think the data from the sample Mr. Wilson is collecting is representative of the population? Explain your reasoning using complete sentences.
The population in this situation is all the terms that the teacher taught this semester and that are represented in the note cards and put in the paper bag.
<h3>Further explanation
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Mr. Wilson is giving his students a vocabulary test tomorrow over all the terms they have learned from this semester. Today, he wants to determine how prepared the students are for the test. So, he writes each term on a note card and puts all the note cards in a paper bag. Then, he asks each student to come to his desk, select five note cards out of the bag, define those five terms, and then put the note cards back in the bag. He records the number of terms each student is correctly able to define.
What is the population in this situation? The population in this situation is all the terms that the teacher taught this semester and that are represented in the note cards and put in the paper bag.
What is the sample? The sample is every set of 5 note cards that is selected by the students
Do you think the data from the sample Mr. Wilson is collecting is representative of the population? The data is representative of the population because they are selected randomly without bias. Every of term has the same probability of being selected. Also it given that the cards are replaced every time, so all the students will face the same population when they are going to select a sample.
