1 / 14

Math III Accelerated

Math III Accelerated. Chapter 11 Data Analysis and Statistics. Warm Up 11.3. Simplify each expression. Round the answer to the nearest hundredth. 11.3 Use Normal Distributions. Objective: Study normal distributions. Vocabulary. Normal Distribution

breanna-mccall
Download Presentation

Math III Accelerated

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Math III Accelerated Chapter 11 Data Analysis and Statistics

  2. Warm Up 11.3 • Simplify each expression. Round the answer to the nearest hundredth.

  3. 11.3 Use Normal Distributions • Objective: • Study normal distributions.

  4. Vocabulary • Normal Distribution A probability distribution modeled by a bell shaped curve that is symmetric about the mean. • Normal Curve The bell shaped curve that models a normal distribution. • Standard Normal Distribution The normal distribution with mean = 0 and standard deviation = 1.

  5. Properties of the Normal Distribution • Bell-shaped curve with the highest point over the mean. • The curve is symmetric about the mean. • The curve approaches the horizontal axis but never touches or crosses it. • Total area under the curve = 1.

  6. Area Under A Normal Curve • Approximately 68% of the data values lie within one standard deviation of the mean.

  7. Area Under A Normal Curve • Approximately 95% of the data values lie within two standard deviations of the mean.

  8. Area Under A Normal Curve • Almost all (approximately 99.7%) of the data values will be within three standard deviations of the mean.

  9. Example 1 • A normal distribution has mean and standard deviation σ. For a randomly selected x-value from the distribution, find the probability that the x-value lies between and + 3σ.

  10. Checkpoint 1 • A normal distribution has mean and standard deviation σ. For a randomly selected x-value from the distribution, find the probability that the x-value lies between and – σ.

  11. Example 2 • The math scores of the 2004 SAT exam are normally distributed with a mean of 518 and a standard deviation of 114. • About what percent of the test-takers have scores between 518 and 746? • About what percent of the test-takers have scores less than 404?

  12. Checkpoint 2 • The math scores of the 2004 SAT exam are normally distributed with a mean of 518 and a standard deviation of 114. About what percent of the test-takers have scores between 404 and 632?

  13. Example 3 • The blood cholesterol readings for a group of women are normally distributed with a mean of 172 mg/dl and a standard deviation of 14 mg/dl. • About what percent of the women have readings between 158 and 186? • Readings higher than 200 are considered undesirable. About what percent of the readings are undesirable?

  14. Homework 11.3 • Practice 11.3

More Related