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Understanding Spread and Standard Deviation in Data Analysis

Learn the importance of standard deviation in measuring data spread around the mean. Discover how to calculate and apply it in statistical analysis. Explore linear transformations and their impact on data interpretation.

cassandra-lott
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Understanding Spread and Standard Deviation in Data Analysis

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  1. Section 1.2Part 2 AP Statistics September 11, 2008 Berkley High School, D1B1

  2. Describing with Numbers: Spread/Standard Deviation • s2 is called the variance, and its in units2 • s is called the standard deviation, and its in units. AP Statistics, Section 1.2, Part 2

  3. Describing with Numbers: Spread/Standard Deviation • s measures spread about the mean and should be used only when the mean is chosen as the measure of center • s equals 0 only when there is no spread. This happens only when all observations have the same value. • s is not resistant. Outliers effect it adversely. AP Statistics, Section 1.2, Part 2

  4. Calculating s by hand AP Statistics, Section 1.2, Part 2

  5. Calculating s by hand AP Statistics, Section 1.2, Part 2

  6. Calculating s by hand AP Statistics, Section 1.2, Part 2

  7. Calculating s by hand AP Statistics, Section 1.2, Part 2

  8. Calculating s using TI-83 AP Statistics, Section 1.2, Part 2

  9. Calculating s using TI-83 AP Statistics, Section 1.2, Part 2

  10. Calculating s using TI-83 AP Statistics, Section 1.2, Part 2

  11. Linear Transformations • Adding “a” does not change the shape or spread • Adding “a” does change the center by “a” AP Statistics, Section 1.2, Part 2

  12. Linear Transformations • Multiplying by “b” does change the shape or spread by “b” • Multiplying by “b” does change the center by “b” AP Statistics, Section 1.2, Part 2

  13. Assignment • Exercises 1.40 – 1.47, The Practice of Statistics. AP Statistics, Section 1.2, Part 2

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