# HW5 - Section 6-2 6-14. NOTE: The data set contains one...

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Section 6-2 6-14. NOTE: The data set contains one additional measurement of 91.2 that should be included in the book. Solutions use this additional measurement. Stem-and-leaf display of octane rating N = 82 Leaf Unit = 0.10 83|4 represents 83.4 1 83|4 3 84|33 4 85|3 7 86|777 13 87|456789 24 88|23334556679 34 89|0233678899 (13) 90|0111344456789 36 91|00011122256688 22 92|22236777 14 93|023347 8 94|2247 95| 4 96|15 2 97| 98|8 99| 1 100|3 Median = 90.4, Q 1 = 88.6 , and Q 3 = 92.2 6-30. Solution uses the n = 83 observations from the data set. Frequency Tabulation for Exercise 6-14.Octane Data -------------------------------------------------------------------------------- Lower Upper Relative Cumulative Cum. Rel. Class Limit Limit Midpoint Frequency Frequency Frequency Frequency -------------------------------------------------------------------------------- at or below 81.75 0 .0000 0 .0000 1 81.75 84.25 83.0 1 .0120 1 .0120 2 84.25 86.75 85.5 6 .0723 7 .0843 3 86.75 89.25 88.0 19 .2289 26 .3133 4 89.25 91.75 90.5 33 .3976 59 .7108 5 91.75 94.25 93.0 18 .2169 77 .9277 6 94.25 96.75 95.5 4 .0482 81 .9759 7 96.75 99.25 98.0 1 .0120 82 .9880 8 99.25 101.75 100.5 1 .0120 83 1.0000 above 101.75 0 .0000 83 1.0000 --------------------------------------------------------------------------------

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Mean = 90.534 Standard Deviation = 2.888 Median = 90.400 It appears to be symmetric which is the same as the stem and leaf above. The number of bins is 8. It is chosen reasonable since it is close to squared root of sample size. 6-46. Descriptive Statistics Variable N Mean Median Tr Mean StDev SE Mean PMC 20 4.000 4.100 4.044 0.931 0.208 Variable Min Max Q1 Q3 PMC 2.000 5.200 3.150 4.800 a) Sample Mean: 4 Sample Variance: 0.867 Sample Standard Deviation: 0.931 b) Percentage 5.5 5.0 4.5 4.0 3.5 3.0 2.5 2.0 Boxplot of Percentage 6-96 2 1 2 1 2 ) ( ) ( ) ( a x n x x a x n i i n i i
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## This note was uploaded on 05/05/2010 for the course STAT 601 taught by Professor Wherly during the Spring '08 term at Texas A&M.

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HW5 - Section 6-2 6-14. NOTE: The data set contains one...

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