MATH 226 - 9.5.2007

MATH 226 - 9.5.2007 - MATH 226 September 5, 2007...

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MATH 226 – September 5, 2007 Definition: x 1 < x 2 < … < x n ordered data For p = ( i – ½)/n, I = 1, 2, 3,…, n o The quantile p is defined as Q(p) o i ( i – ½)/10 Q(( i – ½)/10) 1 .05 1.0 -1.65 2 .15 3.5 -1.04 3 .25 8.1 -0.67 4 .35 8.2 -0.39 5 .45 9.0 -0.13 6 .55 9.7 0.13 7 .65 9.8 0.39 8 .75 12.0 0.67 9 .85 15.0 1.04 10 .95 23.0 1.65 o In this example: Median Q(0.5) = 9.375 Lower Quartile Q(.25) = 8.1
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