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problemsheet_1

# 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: Section 1 Section 2 Combine Section 1 & 2 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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