prob1sol

# prob1sol - The Hong Kong University of Science and...

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The Hong Kong University of Science and Technology ISMT 111 - Business statistics Problem Sheet 1 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 = = + + = = 9 . 8 8 . 7 20 1 20 1 i i x 8.275 Median = 2 1 (10 th +11 th ) = 7.9 (c) Standard deviation: - - = = = 2 1 1 2 1 1 1 n i i n i i x n x n s s = 1.508179 (d) % 100 × = x s CV CV of international routes = 1.508179/8.275 = 0.182257 = 18.2257% CV of domestic routes = 254.5/602.6 = 0.42234 = 42.234% Therefore, domestic routes have higher relative variation. (e) (i) x i i = × + × = = 8 275 20 0 6026 15 174 539 1 35 . . . combined mean = 9204.5/35 = 4.9868

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(ii) For domestic routes: ( 29 0 2545 1 15 1 1 15 15 0 6026 6 3537 2 1 15 2 2 . . . = -
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prob1sol - The Hong Kong University of Science and...

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