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1sol - The University of Hong Kong Department of Statistics...

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The University of Hong Kong Department of Statistics and Actuarial Science STAT0302 Business Statistics Semester 2 2008/2009 Assignment 1 Suggested Solution 1. (a) Column chart, pie chart. (b) Frequency table, proportion table. (c) Mean=32.8333 Median= 32.0 Mode= 32.0 Range= 8.1 Standard deviation= 2.1088 Skewness= 1.1855 2. (a) The frequency distribution table: i Class Frequency i f 1 0.05 – 3.05 6 2 3.05 – 6.05 15 3 6.05 – 9.05 23 4 9.05 – 12.05 18 5 12.05 – 15.05 10 6 15.05 – 18.05 8 Total 80 (b) Class mark i x Frequency i f 1.55 6 4.55 15 7.55 23 10.55 18 13.55 10 16.55 8 Total 80 Population mean: 6 1 1 8.8625 i i i x f N = μ = = Median= ( ) 3 1 1 3 3 3 2 80 2 6 15 6.05 3 8.528261 8.5283 23 i i N f L c f = + + = + × = = Mode= 3 2 3 3 3 2 4 23 15 6.05 3 7.8962 2 2 23 15 18 f f L c f f f + = + × = × Population standard deviation: 6 2 2 1 1 4.158106 4.1581 i i i x f N σ μ = = = = 1

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