MBA 522 Hinges in Box Plots

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

This preview shows page 1. Sign up to view the full content.

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, .
This is the end of the preview. Sign up to access the rest of the document.

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....
View Full Document

## This note was uploaded on 11/13/2011 for the course MBA 522 taught by Professor Nabavi during the Spring '08 term at Bellevue.

Ask a homework question - tutors are online