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.
Answers
Answer:
1) The population
Is the set of all the terms that the teacher taught this semester and which he wrote down on the note cards and put in the paper bag.
2) The sample is every set of five cards that is selected by each student.
3) I think the sample is representative because all ther terms have the same probability of being selected.
Further, given that the cards are replaced every time all the students will face the same population when they are going to select a sample.
Answer:
1. The population is the students and the sample is the vocabulary note cards
2. No, I do not think that the data from the sample Mr. Wilson is collecting is representative of the population. Mr. Wilson puts five of the terms given to a student back in the bag after giving it to them , which means that the amount of cards in the bag could be less , equal to or more than the amount of students.