mat135-4a-16 - Chapter 4a Understanding and Comparing...

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Understanding and Comparing Distributions Chapter 4a
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Comparing Histograms When you have two or three distributions, then comparing their histograms is reasonable and can reveal differences.
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Which season has a more skewed distribution? A. Summer B. Winter
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Which season has a more extreme outlier? A. Summer B. Winter
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Slide 1- 5 Boxplots A boxplot is a more compact way of representing a distribution. Max 8.67 Q3 2.93 Median 1.90 Q1 1.15 Min 0.20
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The box represents the median and quartiles Q1 and Q3. Whiskers will extend to the max and min values of any data contained within 1.5*IQR’s from Q1 and Q3. Data outside the whiskers (outliers) will be displayed with a dot or asterisks (for extreme outliers outside of 3*IQR). Slide 1- 6 Properties of a Boxplots
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Slide 1- 7 Constructing Boxplots 1. Draw a vertical (or horizontal) axis representing the quantitative data range. 2. Create a box whose edges extend from Q1 to Q3 beside the axis.
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