UT Knoxville STAT 201 - Chapter 6 (43 pages)

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Chapter 6



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Chapter 6

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Pages:
43
School:
University of Tennessee
Course:
Stat 201 - Introduction to Statistics
Introduction to Statistics Documents

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Chapter 6 Chapter06 Presentation 1213 The Standard Deviation as a Ruler and the Normal Model Copyright 2009 Pearson Education Inc 1 Tallest Living Humans Recent research estimates that the average height of men is 5 9 69 inches with a standard deviation of 3 0 inches For women the average is 5 3 5 63 5 inches with a standard deviation of 2 5 inches Chapter06 Presentation 1213 Copyright 2009 Pearson Education Inc 2 According to 2011 Edition of Guiness World Records the tallest living man is Sultan K sen of Turkey He stands 8 3 0 99 0 inches The tallest living woman is Yao Defen of China She stands 7 8 0 92 0 inches Chapter06 Presentation 1213 Sultan is taller than Yao but is his height more unusual Copyright 2009 Pearson Education Inc 3 The Standard Deviation as a Ruler The standard deviation is the most common measure of variation The trick in comparing very different looking values is to use standard deviations as our rulers Chapter06 Presentation 1213 Copyright 2009 Pearson Education Inc 4 Standardizing with z scores We compare individual data values to their mean relative to their standard deviation using the following formula y y z s z tells us how many standard deviations the value y is away from the mean Chapter06 Presentation 1213 Copyright 2009 Pearson Education Inc 5 Standardizing with z scores Chapter06 Presentation 1213 Copyright 2009 Pearson Education Inc 6 Standardizing with z scores cont Calculate z scores for Sultan y 99 0 and Yao y 92 0 Recall for our Height example Men Women Mean 69 63 5 Std Dev 3 2 5 Chapter06 Presentation 1213 Copyright 2009 Pearson Education Inc 7 Different Units of Measure and z Scores C 5 F 32 9 Daily high temperature in Knoxville TN from 05 01 08 to 05 31 08 in Fahrenheit F and Celsius C Calculate the Z scores for the maximum values Z Z Chapter06 Presentation 1213 Copyright 2009 Pearson Education Inc 8 When Is a z score BIG A z score gives us an indication of how unusual a value is because it tells us how far it is from the



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