# Understanding and Comparing Distributions Ch. 5. HR Kings Hank Aaron 134538 274447 262434 443240 304420 39 12 402910 3444 Barry Bonds 163746 253345 244245.

## Presentation on theme: "Understanding and Comparing Distributions Ch. 5. HR Kings Hank Aaron 134538 274447 262434 443240 304420 39 12 402910 3444 Barry Bonds 163746 253345 244245."— Presentation transcript:

Understanding and Comparing Distributions Ch. 5

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

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 73 6 5 40255669 3334477 245568 169 05 7|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 73 6 5 7544440040255669 99844203334477 97640245568 320169 05 7|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 Q3 + 1.5 * 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

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