# UT Knoxville STAT 201 - Chapter 5 (23 pages)

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## Chapter 5

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## Chapter 5

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Pages:
23
School:
University of Tennessee
Course:
Stat 201 - Introduction to Statistics
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Unformatted text preview:

Chapter 5 Chapter05 Presentation 1213 Understanding and Comparing Distributions Copyright 2009 Pearson Education Inc 1 The Big Picture Below is a histogram of the Average Wind Speed for every day in 1989 Chapter05 Presentation 1213 Copyright 2009 Pearson Education Inc 2 The Big Picture cont Which direction is this distribution skewed The high value 8 67 may be an outlier Median daily wind speed is 1 90 mph and the IQR is 1 78 mph Can we say more Chapter05 Presentation 1213 Copyright 2009 Pearson Education Inc 3 The Five Number Summary The five number summary of a distribution reports its median quartiles and extremes maximum and minimum Chapter05 Presentation 1213 Copyright 2009 Pearson Education Inc Max 8 67 Q3 2 93 Median 1 90 Q1 1 15 Min 0 20 4 Daily Wind Speed Making Boxplots A boxplot is a graphical display of the five number summary of a data set and makes a judgment about whether or not there are potential outliers in the data set Boxplots are particularly useful when comparing groups Chapter05 Presentation 1213 Copyright 2009 Pearson Education Inc 5 Constructing Boxplots 1 2 3 Max 8 67 Q3 2 93 Median 1 90 Q1 1 15 Min 0 20 Draw a single vertical axis spanning the range of the data Draw short horizontal lines at the lower and upper quartiles and at the median Then connect them with vertical lines to form two boxes Chapter05 Presentation 1213 Copyright 2009 Pearson Education Inc 6 Constructing Boxplots cont 4 Max 8 67 Q3 2 93 Median 1 90 Q1 1 15 Min 0 20 Erect fences around the main part of the data The upper fence is 1 5 IQRs above the upper quartile The lower fence is 1 5 IQRs below the lower quartile Chapter05 Presentation 1213 Copyright 2009 Pearson Education Inc 7 Constructing Boxplots cont 5 Max 8 67 Q3 2 93 Median 1 90 Q1 1 15 Min 0 20 Use the fences to grow whiskers Draw lines from the ends of the box up and down to the most extreme data values found within the fences Chapter05 Presentation 1213 Copyright 2009 Pearson Education Inc 8 Constructing

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