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problemsheet_1 - Q1 An airline conducted a study on the...

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Q1 An airline conducted a study on the sector distance of its international routes. A sample of size 20 was collected and listed in the following table. Sector distance of International Routes (in thousands km) 7.8 7.3 6.3 7.9 8.3 10.5 7.9 9 9.5 7.4 8.8 7.5 6 10.3 7.8 6.3 8.5 12.1 7.4 8.9 (a) Construct a stem and leaf plot of the data. (b) Determine the mean and median of the data. (c) Compute the standard deviation of the data using the shortcut method. (d) In a similar study on the sector distance of its domestic routes, a sample of size 15 was collected with mean equal to 602.6 km and standard deviation equal to 254.5 km. Which sample, domestic or international, has higher relative variation? Explain your answer. (e) Later, the two samples were combined to form a larger data set of size 35. i. Determine the mean of the combined data set. ii. Compute the standard deviation of the combined data set. Q2 The results of the midterm examination in two sections of ISMT 111 are summarized as follows: Number of students 120 100 Mean 80 75 Median 77 72 Mode 78 72 Range 50 45 Minimum 43 50 Mean Absolute Deviataion 10 8 Sample Standard Deviation 12 10 Assume no student is in both sections. Please fill in the boxes and put crosses in those boxes whose values cannot be determined from the given information. Q3 The table contains the examination scores for a class of MBA students. 61 51 53 42 55 42 39 77 48 47 49 62 40 40 55 56 47 55 62 43 (a) Find the mean, the median, the standard deviation and the interquartile range for
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the scores. (b) Construct a stem-and-leaf plot for the data set and describe the shape of the distribution of the scores. (c) Would you consider the highest score to be unusually high? Explain. Q4 A sample of 6 items has mean of 12 and a standard deviation of 2, while another sample of 12 items has a means of 6 and a standard deviation of 6. Suppose the two samples are combined into a single sample of 18 items. Calculate the standard deviation of this combined sample. Q5 One investor desires to know which of the two stocks is worth investing. The raw data of the stock prices per share of these two stocks for the last two weeks are given below. Stock A 64.5
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This note was uploaded on 09/18/2010 for the course BBA ISOM111 taught by Professor Hu during the Fall '08 term at HKUST.

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problemsheet_1 - Q1 An airline conducted a study on the...

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