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Section 1.2 Part 2. AP Statistics September 11, 2008 Berkley High School, D1B1. Describing with Numbers: Spread/Standard Deviation. s 2 is called the variance, and its in units 2 s is called the standard deviation, and its in units. Describing with Numbers: Spread/Standard Deviation.
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Section 1.2Part 2 AP Statistics September 11, 2008 Berkley High School, D1B1
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
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
Calculating s by hand AP Statistics, Section 1.2, Part 2
Calculating s by hand AP Statistics, Section 1.2, Part 2
Calculating s by hand AP Statistics, Section 1.2, Part 2
Calculating s by hand AP Statistics, Section 1.2, Part 2
Calculating s using TI-83 AP Statistics, Section 1.2, Part 2
Calculating s using TI-83 AP Statistics, Section 1.2, Part 2
Calculating s using TI-83 AP Statistics, Section 1.2, Part 2
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
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
Assignment • Exercises 1.40 – 1.47, The Practice of Statistics. AP Statistics, Section 1.2, Part 2