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Lesson 12

Larger populations

Unit 8

Probability and Sampling

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12.1: First Name versus Last Name

Consider the question: In general, do the students at this school have more letters in their first name or last name? How many more letters?

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Learning Targets

  • Today I will learn about the population of data samples.

  • I can explain why it may be useful to gather data on a sample of a population.
  • When I read or hear a statistical question, I can name the population of interest and give an example of a sample for that population.

Success Criteria

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12.2: John Jacobjingleheimerschmidt

Continue to consider the question from the warm-up: In general, do the students at this school have more letters in their first name or last name? How many more letters?

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12.2: John Jacobjingleheimerschmidt

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12.3: Siblings and Pets

Consider the question: Do people who are the only child have more pets?

1. Earlier, we used information about the people in your class to answer a question about the entire school. Would surveying only the people in your class give you enough information to answer this new question? Explain your reasoning.

2. If you had to have an answer to this question by the end of class today, how would you gather data to answer the question?

3. If you could come back tomorrow with your answer to this question, how would you gather data to answer the question?

4. If someone else in the class came back tomorrow with an answer that was different than yours, what would that mean? How would you determine which answer was better?

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12.4: Sampling the Population

1. What is the mean number of pages for novels that were on the best-seller list in the 1990s?

2. What fraction of new cars sold between August 2010 and October 2016 were built in the United States?

3. What is the median income for teachers in North America?

4. What is the average lifespan of Tasmanian devils?

For each question, identify the population and a possible sample.

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Are you ready for more?

Political parties often use samples to poll people about important issues. One common method is to call people and ask their opinions. In most places, though, they are not allowed to call cell phones. Explain how this restriction might lead to inaccurate samples of the population.

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Lesson Summary

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12.5 Cool Down: How Many Games?

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Reflections

  • Can you explain why it may be useful to gather data on a sample of a population?
  • When I read or hear a statistical question, can you name the population of interest and give an example of a sample for that population?

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Practice Problems

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Lesson Video

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