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Published byAlvaro Westley Modified over 2 years ago

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Understanding and Comparing Distributions Ch. 5

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HR Kings Hank Aaron 134538 274447 262434 443240 304420 39 12 402910 3444 Barry Bonds 163746 253345 244245 19405 333726 253428 3449 4673

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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

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Stem and Leafs When to use: Number of variables: 1 Data type: quantitative data Purpose: displaying data distribution Include a key

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Stem and Leaf StemLeaf 73 6 5 40255669 3334477 245568 169 05 7|3 represents 73 HRs Barry Bonds HRs

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Stem and Leafs When to use: Number of variables: 2 Data type: quantitative data Purpose: compare two data distribution Label the groups

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HR Kings Hank AaronBarry Bonds 73 6 5 7544440040255669 99844203334477 97640245568 320169 05 7|3 represents 73 HRs

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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

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Barry Bonds Five Number Summary Min Q1 Median Q3 Max 5 HRs 25 HRs 34 HRs 45 HRs 73 HRs

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Outliers A data value is a potential outlier if the data value is – greater than Q3 + 1.5 * IQR or – less than Q1 – 1.5*IQR

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What to look for when comparing When you describe a distribution always describe the Shape Center Spread

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