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Assignment 1

# Assignment 1 - 0910 THE UNIVERSITY OF HONG KONG DEPARTMENT...

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0910 THE UNIVERSITY OF HONG KONG DEPARTMENT OF STATISTICS AND ACTUARIAL SCIENCE STAT0301 Elementary Statistical Methods Assignment 1 (Do all. Hand in solutions to the SIX starred questions on or before 21.9.09.) 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 doctor kept 90 patients waiting beyond their appointment time in a certain week: 14.2 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 12.7 1.2 14.6 10.3 8.5 10.0 12.8 16.9 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 5.7 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 15.5 9.9 14.6 7.7 8.2 17.6 13.0 10.3 4.8 5.6 17.9 2.3 13.3 8.1 11.1 10.9 1.7 5.4 7.3 16.4 14.4 12.3 12.6 10.9 4.4 3.0 8.8 7.7 1.2 2.6 (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, standard deviation, coeﬃcient of variation and skewness from the table . *3.

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Assignment 1 - 0910 THE UNIVERSITY OF HONG KONG DEPARTMENT...

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