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ps1sol

# ps1sol - The Hong Kong University of Science and Technology...

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Problem Sheet 1 Suggested Solutions 1 The Hong Kong University of Science and Technology ISMT 111 - Business statistics, Fall Lecture Section (Prof. Hu) Problem Sheet 1 Suggested Solutions 1. (a) Stem-and-Leaf Plot Leaf Unit = 0.10 3 6 033 3 6 6 7 344 (5) 7 58899 9 8 3 8 8 589 5 9 0 4 9 5 3 10 3 2 10 5 1 11 1 11 1 12 1 OR Leaf Unit = 0.10 3 6 033 (8) 7 34458899 9 8 3589 5 9 05 3 10 35 1 11 1 12 1 (b) Mean =8.275 (thousand km) Median = (10th+11th)/2 = 7.9 (thousand km) (c) Standard deviation: s = 1.508179 (thousand km) (d) CV of international routes = 18.2257% CV of domestic routes = 42.234% Therefore, domestic routes have higher relative variation. (e) (i) combined mean = 4.9868 (thousand km) (ii) For the combined samples, ( ) = 2 539 . 174 35 1 0837 . 1419 34 1 s = 4.0172 (thousand km) 2. Section 1 Section 2 Combine Section 1 & 2 Number of students 120 100 220 Mean 80 75 77.72727 Median 77 72 X Mode 78 72 X Range 50 45 52 Minimum 43 50 43 Mean Absolute Deviation 10 8 X Sample Standard Deviation 12 10 11.389

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