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Learning Goal

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Fit data to a normal distribution

Start lessonBegins with The normal curve and empirical rule · Slides

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Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework

HSS.ID.A.4

**HSS.ID.A.4**: Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to estimate areas under the normal curve.

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HSS.ID.A.4: Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to estimate areas under the normal curve.

What you'll learn

  1. Recognize the normal (bell) curve and state that it is symmetric about the mean and fully determined by the mean and standard deviation
  2. Apply the empirical (68-95-99.7) rule to estimate the percentage of a population within 1, 2, or 3 standard deviations of the mean
  3. Compute a z-score and use a calculator, spreadsheet, or table to estimate the percentage of data below, above, or between given values
  4. Judge from a distribution's shape whether fitting a normal model is appropriate, and recognize when it is not

Slides

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1

The normal curve and empirical rule

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2

Z scores and when normal fails

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Practice

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