Boxplots Robb T Koether Boxplots TI 83 Boxplots Modified Boxplots TI 83 Modified Boxplots Boxplots Lecture 17 Section 5 3 3 Assignment Robb T Koether Hampden Sydney College Wed Feb 11 2009 Outline Boxplots Robb T Koether Boxplots 1 Boxplots 2 TI 83 Boxplots 3 Modified Boxplots 4 TI 83 Modified Boxplots 5 Assignment TI 83 Boxplots Modified Boxplots TI 83 Modified Boxplots Assignment Boxplots Boxplots Robb T Koether Boxplots TI 83 Boxplots Modified Boxplots TI 83 Modified Boxplots Assignment Definition Boxplot A boxplot is a graphical display of a five number summary The interquartile range is represented by a rectangle over a vertical scale The median is represented by a vertical line through the rectangle The maximum and minimum are represented by tails or whiskers attached to the ends of the rectangle Example Boxplots Robb T Koether Boxplots TI 83 Boxplots Modified Boxplots TI 83 Modified Boxplots Assignment Example Boxplot Draw a boxplot of the sample 5 20 30 45 60 80 100 140 150 200 240 Example Boxplots Robb T Koether Boxplots TI 83 Boxplots Example Boxplot Modified Boxplots TI 83 Modified Boxplots Assignment 0 20 40 60 80 100 120 140 160 180 200 220 240 Example Boxplots Robb T Koether Boxplots TI 83 Boxplots Example Boxplot Modified Boxplots TI 83 Modified Boxplots Min Q1 Med Q3 Max Assignment 0 20 40 60 80 100 120 140 160 180 200 220 240 Example Boxplots Robb T Koether Boxplots TI 83 Boxplots Example Boxplot Modified Boxplots TI 83 Modified Boxplots Min Max Assignment 0 20 40 60 80 100 120 140 160 180 200 220 240 Example Boxplots Robb T Koether Boxplots TI 83 Boxplots Example Boxplot Modified Boxplots TI 83 Modified Boxplots Min Max Assignment 0 20 40 60 80 100 120 140 160 180 200 220 240 Example Boxplots Robb T Koether Boxplots TI 83 Boxplots Example Boxplot Modified Boxplots TI 83 Modified Boxplots Assignment 0 20 40 60 80 100 120 140 160 180 200 220 240 Example Boxplots Robb T Koether Boxplots TI 83 Boxplots Example Boxplot Modified Boxplots TI 83 Modified Boxplots Assignment 0 20 40 60 80 100 120 140 160 180 200 220 240 Boxplots and Shape Boxplots Robb T Koether Boxplots TI 83 Boxplots Modified Boxplots TI 83 Modified Boxplots Assignment What would a boxplot for a uniform distribution look like What would a boxplot for a symmetric distribution look like What would a boxplot for a right skewed distribution look like TI 83 Boxplots Boxplots Robb T Koether Boxplots TI 83 Boxplots TI 83 Boxplots Press STAT PLOT Modified Boxplots Select Plot1 TI 83 Modified Boxplots Assignment Turn Plot1 On Under Type select the boxplot icon 2nd row 2nd icon Specify list L1 Press ZOOM Select ZoomStat 9 and press ENTER or press 9 TI 83 Boxplots Boxplots Robb T Koether Boxplots TI 83 Boxplots Modified Boxplots TI 83 Modified Boxplots Assignment TI 83 Boxplots To 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 TI 83 Boxplots Boxplots Robb T Koether Boxplots TI 83 Boxplots Modified Boxplots TI 83 Modified Boxplots Assignment Example 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 44 5 16 9 14 37 36 10 19 2 16 17 50 28 12 11 23 8 66 7 24 6 50 4 88 13 08 4 01 11 28 1 96 12 09 2 92 7 67 4 39 6 60 6 50 25 43 0 74 Modified Boxplots Boxplots Robb T Koether Boxplots TI 83 Boxplots Modified Boxplots TI 83 Modified Boxplots Assignment Definition Outlier An outlier is any value that is more than 1 5 IQR below Q1 or more than 1 5 IQR above Q3 Definition Extreme outlier An extreme outlier is any value that is more than 3 IQR below Q1 or more than 3 IQR above Q3 Definition Modified boxplot A modified boxplot is a boxplot in which the outliers and extreme outliers are indicated by separate dots Modified Boxplots Boxplots Robb T Koether Boxplots TI 83 Boxplots Modified Boxplots TI 83 Modified Boxplots Assignment To 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 Modified Boxplots Boxplots Robb T Koether Boxplots TI 83 Boxplots Modified Boxplots To 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 TI 83 Modified Boxplots Assignment IQR Modified Boxplots Boxplots Robb T Koether Boxplots TI 83 Boxplots Modified Boxplots To 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 TI 83 Modified Boxplots Assignment 1 5 x IQR IQR 1 5 x IQR Modified Boxplots Boxplots Robb T Koether Boxplots TI 83 Boxplots Modified Boxplots To 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 TI 83 Modified Boxplots Assignment 1 5 x IQR Lower inner fence IQR 1 5 x IQR Upper inner fence Modified Boxplots Boxplots Robb T Koether Boxplots TI 83 Boxplots Modified Boxplots TI 83 Modified Boxplots Assignment Extend the whiskers from the box to the smallest and largest values that are within the inner fences Any values that are outside the inner fences should be drawn as individual dots These dots represent outliers Modified Boxplots Boxplots Robb T Koether Boxplots TI 83 Boxplots Modified Boxplots TI 83 Modified Boxplots Assignment Practice Draw a modified boxplot of the sample 9 13 38 40 42 43 46 47 49 53 55 60 84 TI 83 Modified Boxplots Boxplots Robb T Koether Boxplots TI 83 Boxplots Modified Boxplots TI 83 Modified Boxplots Assignment TI 83 Modified Boxplots Follow the same steps as for a regular boxplot but for the Type select the modified boxplot icon the first icon in the second row It looks like a boxplot with a couple of extra dots TI 83 Modified Boxplots Boxplots Robb T Koether Boxplots Example TI 83 Boxplots TI 83 Modified Boxplots Modified Boxplots TI 83 Modified Boxplots Assignment Use the TI 83 to draw a modified boxplot of the rainfall data 2 82 24 18 0 20 15 60 22 04 7 44 5 16 9 14 37 36 10 19 2 16 17 50 28 12 11 23 8 66 7 24 6 50 4 88 13 08 4 01 11 28 1 96 12 09 2 92 7 67 4 39 6 60 6 50 25 43 0 74 TI 83 Modified Boxplots Boxplots Robb T Koether Boxplots TI 83 Boxplots Modified Boxplots TI 83 Modified Boxplots Practice Use the TI 83 to draw a modified boxplot of the sample data Assignment 9 13 38 40 42 43 46 47 49 53 55 60 84 Box Plots Boxplots …
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