problem.2.49.solution

problem.2.49.solution - 2.49 a For n = 16 , the position of...

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29 2.49 a For 16 n = , the position of the median is 0.5( 1) 8.5 n += and the positions of the quartiles are 0.25( 4.25 n and 0.75( 1) 12.75 n . The lower quartile is ¼ the way between the 4 th and 5 th measurements and the upper quartile is ¾ the way between the 12 th and 13 th measurements. The sorted measurements are shown below. Favre: 5, 15, 17, 19, 20, 21, 22, 22, 22, 22, 24, 24, 25, 26, 28, 31 Peyton Manning: 14, 14, 20, 20, 21, 21, 21, 22, 25, 25, 25, 26, 27, 29, 30, 32 For Brett Favre, ( ) 22 22 2 22 m = , 1 19 0.25(20 19) 19.25 Q = + −= and 3 24 0.75(25 24) 24.75 Q = + . For Peyton Manning, ( ) 22 25 2 23.50 m = , 1 20 0.25(21 20) 20.25 Q = + and 3 26 0.75(27 26) 26.75 Q = + . Then the five-number summaries are Min Q 1 Median Q 3 Max Favre 5 19.25 22 24.75 31 Manning 14 20.25 23.5 26.75 32 b For Brett Favre, calculate 31 24.75 19.25 5.5 IQR Q Q = −=
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This note was uploaded on 02/27/2012 for the course STA 13 taught by Professor Samaniego during the Spring '10 term at UC Davis.

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