MBA 522 Hinges in Box Plots

MBA 522 Hinges in Box Plots - ..), the lower hinge is...

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Hinges in Box Plots The notes and comments section in chapter 3 of your statistics book mentions upper and lower hinges for the box plot and the five-number summary. In a box plot, the ends of the box are the first and third quartiles. To be more precise, the left end of the box is defined to be the lower hinge, and the right end of the box is the upper hinge. If "n" is even, the lower and upper hinges are the 1st and 3rd Quartiles, respectively, using the standard quartile definitions. Also, if "n" is odd, where n-1 is evenly divisible by 4 (that is, n = 5, 9, 13, 17, . ..). For "n" odd, where n is not evenly divisible by 4 (that is, n=3, 7, 11, 15, .
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Unformatted text preview: ..), the lower hinge is defined to be the average of Q1 and the ordered data value to the "right" of Q1, and the upper hinge is defined to be the average of Q3 and the ordered data value to the "left" of Q3. Consider the following Sample: 25, 31, 45, 52, 63, 87, 95 Here: Q1 is the second value (31), the lower hinge is (31+45)/2=38 Q3 is the sixth value (87), and the upper hinge is (63+87)/2=75. Despite all this, some books refer to and use as end values of the box the first and third quartiles. Dr. J....
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This note was uploaded on 11/13/2011 for the course MBA 522 taught by Professor Nabavi during the Spring '08 term at Bellevue.

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