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Understanding and Comparing Distributions Ch. 5
HR Kings Hank Aaron Barry Bonds
Stem and Leaf Diagram An effective way to display quantitative data when the data set is not too large Stem – the beginning digit(s) of the data value Leaf – the final digit(s) of the data value
Stem and Leafs When to use: Number of variables: 1 Data type: quantitative data Purpose: displaying data distribution Include a key
Stem and Leaf StemLeaf |3 represents 73 HRs Barry Bonds HRs
Stem and Leafs When to use: Number of variables: 2 Data type: quantitative data Purpose: compare two data distribution Label the groups
HR Kings Hank AaronBarry Bonds |3 represents 73 HRs
Box Plot Uses the five number summary to show the distribution of a data set Good for identifying outliers Don’t use on large data sets
Barry Bonds Five Number Summary Min Q1 Median Q3 Max 5 HRs 25 HRs 34 HRs 45 HRs 73 HRs
Outliers A data value is a potential outlier if the data value is – greater than Q * IQR or – less than Q1 – 1.5*IQR
What to look for when comparing When you describe a distribution always describe the Shape Center Spread
Introduction Our daily lives often involve a great deal of data, or numbers in context. It is important to understand how data is found, what it means,
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 5- 1.
Box plot Edexcel S1 Mathematics 2003 (or box and whisker plot)
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Copyright © 2010 Pearson Education, Inc. Slide Suppose that 30% of the subscribers to a cable television service watch the shopping channel at least.
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Copyright © 2010 Pearson Education, Inc. Slide
Chapter 3, Numerical Descriptive Measures Data analysis is objective –Should report the summary measures that best meet the assumptions about the data.
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Box and Whisker Plots A box plot summarizes data using the median, upper and lower quartiles, and the extreme (least and greatest) values. It allows.
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Copyright © 2011 Pearson Education, Inc. Putting Statistics to Work.
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