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Unit 6 – Data Analysis and Probability

Unit 6 – Data Analysis and Probability. 6.4 – Select and draw conclusions from samples. Georgia Performance Standards. MM3D3 – Students will understand the differences between experimental and observational studies by posing questions and collecting, analyzing, and interpreting data. .

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Unit 6 – Data Analysis and Probability

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  1. Unit 6 – Data Analysis and Probability 6.4 – Select and draw conclusions from samples

  2. Georgia Performance Standards MM3D3 – Students will understand the differences between experimental and observational studies by posing questions and collecting, analyzing, and interpreting data.

  3. Vocabulary A population is a group of people or objects that you want information about. A sample is a subset of the population. An unbiased sample is representative of the population you want information about. A sample that over represents or underrepresents part of the population is a biased sample.

  4. Samples In a self-selected sample, members of a population can volunteer to be in the sample. In a systematic sample, a rule is used to select members of a population, such as selecting every other person. In a convenience sample, easy-to-reach members of a population are selected, such as those in the first row. In a random sample, each member of a population has an equal chance of being selected.

  5. Margin of Error The margin of errorgives a limit on how much the responses of a sample would differ from the responses of a population. When a random sample of size n is taken from a large population, the margin of error is approximated by this formula:

  6. Classifying Samples A teacher wants to find out how many hours students studied for a history quiz. Identify the type of sample.\ Before leaving the room, the teacher asks students to write the number of hours they studied for the quiz on the chalkboard if they want to participate. The teacher selects students randomly from an alphabetical list and asks the selected students how many hours they studied for the quiz.

  7. Classifying Samples (Answers) The students can choose whether or not to respond. So, the sample is a self-selected sample. The teacher selects students randomly. So, the sample is a random sample.

  8. Identifying Biased Samples Tell whether each sample in example 1 is biased or unbiased. Explain your reasoning.

  9. Identifying Biased Samples (Answers) Tell whether each sample in example 1 is biased or unbiased. Explain your reasoning. The sample is biased because the sample is self-selected and it may not be representative of the entire class. The sample is not biased because it is representative of the population.

  10. Margin of Error In a survey of 800 people, 20% said they get a haircut once per month. What is the margin of error for the survey? Give an interval that is likely to contain the exact percent of all people who get a haircut once per month.

  11. Guided Practice Page 229: 1-3

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