BoxplotsTI-83 BoxplotsModified BoxplotsTI-83 Modified BoxplotsAssignmentBoxplotsRobb T.KoetherBoxplotsTI-83 BoxplotsModifiedBoxplotsTI-83 ModifiedBoxplotsAssignmentBoxplotsLecture 17Section 5.3.3Robb T. KoetherHampden-Sydney CollegeWed, Feb 11, 2009BoxplotsRobb T.KoetherBoxplotsTI-83 BoxplotsModifiedBoxplotsTI-83 ModifiedBoxplotsAssignmentOutline1Boxplots2TI-83 Boxplots3Modified Boxplots4TI-83 Modified Boxplots5AssignmentBoxplotsRobb T.KoetherBoxplotsTI-83 BoxplotsModifiedBoxplotsTI-83 ModifiedBoxplotsAssignmentBoxplotsDefinition (Boxplot)A boxplot is a graphical display of a five-number summary.The interquartile range is represented by a rectangleover a vertical scale.The median is represented by a vertical line throughthe rectangle.The maximum and minimum are represented by “tails”or “whiskers” attached to the ends of the rectangle.BoxplotsRobb T.KoetherBoxplotsTI-83 BoxplotsModifiedBoxplotsTI-83 ModifiedBoxplotsAssignmentExampleExample (Boxplot)Draw a boxplot of the sample5, 20, 30, 45, 60, 80, 100, 140, 150, 200, 240.BoxplotsRobb T.KoetherBoxplotsTI-83 BoxplotsModifiedBoxplotsTI-83 ModifiedBoxplotsAssignmentExampleExample (Boxplot)0 20 100806040 240220200180160140120BoxplotsRobb T.KoetherBoxplotsTI-83 BoxplotsModifiedBoxplotsTI-83 ModifiedBoxplotsAssignmentExampleExample (Boxplot)0 20 100806040 240220200180160140120Min Q1 Med Q3 MaxBoxplotsRobb T.KoetherBoxplotsTI-83 BoxplotsModifiedBoxplotsTI-83 ModifiedBoxplotsAssignmentExampleExample (Boxplot)0 20 100806040 240220200180160140120Min MaxBoxplotsRobb T.KoetherBoxplotsTI-83 BoxplotsModifiedBoxplotsTI-83 ModifiedBoxplotsAssignmentExampleExample (Boxplot)0 20 100806040 240220200180160140120Min MaxBoxplotsRobb T.KoetherBoxplotsTI-83 BoxplotsModifiedBoxplotsTI-83 ModifiedBoxplotsAssignmentExampleExample (Boxplot)0 20 100806040 240220200180160140120BoxplotsRobb T.KoetherBoxplotsTI-83 BoxplotsModifiedBoxplotsTI-83 ModifiedBoxplotsAssignmentExampleExample (Boxplot)0 20 100806040 240220200180160140120BoxplotsRobb T.KoetherBoxplotsTI-83 BoxplotsModifiedBoxplotsTI-83 ModifiedBoxplotsAssignmentBoxplots and ShapeWhat would a boxplot for a uniform distribution looklike?What would a boxplot for a symmetric distribution looklike?What would a boxplot for a right-skewed distributionlook like?BoxplotsRobb T.KoetherBoxplotsTI-83 BoxplotsModifiedBoxplotsTI-83 ModifiedBoxplotsAssignmentTI-83 - BoxplotsTI-83 BoxplotsPress STAT PLOT.Select Plot1Turn Plot1 On.Under Type, select the boxplot icon (2nd row, 2ndicon).Specify list L1.Press ZOOM.Select ZoomStat (#9) and press ENTER (or press 9).BoxplotsRobb T.KoetherBoxplotsTI-83 BoxplotsModifiedBoxplotsTI-83 ModifiedBoxplotsAssignmentTI-83 - BoxplotsTI-83 BoxplotsTo get the five-number summary from the boxplot,Press TRACE.Use the arrow keys to see the values of the minimum,Q1, the median, Q3, and the maximum.BoxplotsRobb T.KoetherBoxplotsTI-83 BoxplotsModifiedBoxplotsTI-83 ModifiedBoxplotsAssignmentTI-83 - BoxplotsExample (TI-83 Boxplots)Use the TI-83 to draw a boxplot of the rainfall data.2.82 24.18 0.20 15.60 22.04 7.445.16 9.14 37.36 10.19 2.16 17.5028.12 11.23 8.66 7.24 6.50 4.8813.08 4.01 11.28 1.96 12.09 2.927.67 4.39 6.60 6.50 25.43 0.74BoxplotsRobb T.KoetherBoxplotsTI-83 BoxplotsModifiedBoxplotsTI-83 ModifiedBoxplotsAssignmentModified BoxplotsDefinition (Outlier)An outlier is any value that is more than 1.5 IQR below Q1or more than 1.5 IQR above Q3.Definition (Extreme outlier)An extreme outlier is any value that is more than 3 IQRbelow Q1or more than 3 IQR above Q3.Definition (Modified boxplot)A modified boxplot is a boxplot in which the outliers (andextreme outliers) are indicated by separate dots.BoxplotsRobb T.KoetherBoxplotsTI-83 BoxplotsModifiedBoxplotsTI-83 ModifiedBoxplotsAssignmentModified BoxplotsTo draw a modified boxplot,Draw the box part of the boxplot as usual.Compute STEP = 1.5 × IQR.The inner fences are at Q1− STEP and Q3+ STEP.BoxplotsRobb T.KoetherBoxplotsTI-83 BoxplotsModifiedBoxplotsTI-83 ModifiedBoxplotsAssignmentModified BoxplotsTo draw a modified boxplot,Draw the box part of the boxplot as usual.Compute STEP = 1.5 × IQR.The inner fences are at Q1− STEP and Q3+ STEP.IQRBoxplotsRobb T.KoetherBoxplotsTI-83 BoxplotsModifiedBoxplotsTI-83 ModifiedBoxplotsAssignmentModified BoxplotsTo draw a modified boxplot,Draw the box part of the boxplot as usual.Compute STEP = 1.5 × IQR.The inner fences are at Q1− STEP and Q3+ STEP.IQR1.5 x IQR1.5 x IQRBoxplotsRobb T.KoetherBoxplotsTI-83 BoxplotsModifiedBoxplotsTI-83 ModifiedBoxplotsAssignmentModified BoxplotsTo draw a modified boxplot,Draw the box part of the boxplot as usual.Compute STEP = 1.5 × IQR.The inner fences are at Q1− STEP and Q3+ STEP.IQR1.5 x IQR1.5 x IQRLower(inner)fenceUpper(inner)fenceBoxplotsRobb T.KoetherBoxplotsTI-83 BoxplotsModifiedBoxplotsTI-83 ModifiedBoxplotsAssignmentModified BoxplotsExtend the whiskers from the box to the smallest andlargest values that are within the inner fences.Any values that are outside the inner fences should bedrawn as individual dots.These dots represent outliers.BoxplotsRobb T.KoetherBoxplotsTI-83 BoxplotsModifiedBoxplotsTI-83 ModifiedBoxplotsAssignmentModified BoxplotsPracticeDraw a modified boxplot of the sample9, 13, 38, 40, 42, 43, 46, 47, 49, 53, 55, 60, 84.BoxplotsRobb T.KoetherBoxplotsTI-83 BoxplotsModifiedBoxplotsTI-83 ModifiedBoxplotsAssignmentTI-83 - Modified BoxplotsTI-83 Modified BoxplotsFollow the same steps as for a regular boxplot, but forthe Type, select the modified-boxplot icon, the first iconin the second row. It looks like a boxplot with a coupleof extra dots.BoxplotsRobb T.KoetherBoxplotsTI-83 BoxplotsModifiedBoxplotsTI-83 ModifiedBoxplotsAssignmentTI-83 - Modified BoxplotsExampleTI-83 Modified BoxplotsUse the TI-83 to draw a modified boxplot of the rainfalldata.2.82 24.18 0.20 15.60 22.04 7.445.16 9.14 37.36 10.19 2.16 17.5028.12 11.23 8.66 7.24 6.50 4.8813.08 4.01 11.28 1.96 12.09 2.927.67 4.39 6.60 6.50 25.43 0.74BoxplotsRobb T.KoetherBoxplotsTI-83 BoxplotsModifiedBoxplotsTI-83 ModifiedBoxplotsAssignmentTI-83 - Modified BoxplotsPracticeUse the TI-83 to draw a modified boxplot of the sampledata.9, 13, 38, 40, 42, 43, 46, 47, 49, 53, 55, 60, 84.BoxplotsRobb T.KoetherBoxplotsTI-83 BoxplotsModifiedBoxplotsTI-83 ModifiedBoxplotsAssignmentBox PlotsFor an example of modified boxplots, seeDePaul University’s web page on retention.BoxplotsRobb T.KoetherBoxplotsTI-83 BoxplotsModifiedBoxplotsTI-83 ModifiedBoxplotsAssignmentAssignmentHomeworkRead Section
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