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# 1 - 08/09 THE UNIVERSITY OF HONG KONG DEPARTMENT OF...

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THE UNIVERSITY OF HONG KONG 08/09 DEPARTMENT OF STATISTICS AND ACTUARIAL SCIENCE STAT0302 Business Statistics Assignment 1 (Do all. Hand in solutions to the ﬁve starred questions on or before 4.2.09.) 1. (a) Give two examples of graphical presentation of data. (b) Give two examples of tabular presentation of data. (c) The lengths (in cm) of the 12 items of a batch are as follows: 38.5, 31.9, 32.5, 32.0, 31.8, 32.7, 32.0, 31.9, 32.0, 32.3, 30.4, 36.0. Find the mean, median, mode, range, standard deviation, and skewness of the 12 data. *2. The following are the numbers of minutes that a clinic kept its 80 patients waiting beyond their appointment time on a certain day: 7.5 11.3 6.8 13.7 15.4 16.8 4.0 3.8 8.4 3.7 11.2 8.9 10.5 5.6 4.2 1.5 6.8 10.4 17.5 4.2 8.3 1.3 5.9 11.3 6.3 7.2 9.3 9.9 7.2 2.7 1.2 14.6 10.3 8.5 10.0 12.8 6.9 13.5 10.8 5.1 12.7 11.9 2.6 12.9 13.8 3.9 7.5 16.1 11.1 8.3 9.6 6.4 15.7 5.8 7.9 8.8 2.4 5.2 8.4 16.7 10.2 3.8 11.7 8.9 15.3 8.0 4.3 11.4 16.6 9.0 12.5 10.6 5.9 14.3 8.8 9.6 7.0 12.3 8.5 5.8 (a) Group these data into a frequency distribution table with classes 0 . 05 - 3 . 05, 3 . 05 - 6 . 05, ··· , 15 . 05 - 18 . 05. (b) Treating the data as forming a population, ﬁnd the mean, median, mode, stan- dard deviation, coeﬃcient of variation and skewness from the table . *3. The 120 employees of a company are divided into six grades. The numbers of employees and their monthly salaries (in \$1000) are given in the table below:

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