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Question - Richmond Ford, located at 4600 West Broad Street in Richmond, Virginia, is one of the oldest automobile Dealership in the country. A sample of 30 pre-owned vehicles was selected from a population of all preowned vehicles owned by Richmond Ford, and the mileage of each vehicle is recorded below.

16,354

12,682

31,818

55,284

70,971

5,225

20,859

36,934

62,495

15,761

68,414

42,695

74,910

45,899

34,067

65,794

10,884

57,994

13,833

40,293

12,046

26,677

36,997

63,280

49,303

22,190

26,286

14,076

19,984

94,208

a. Using Excel find the mean, median, mode, range, variance and standard deviation of the data. Attach your output from Excel.

b. Using Excel, construct a frequency histogram of the data set. Use the guidelines in the class notes. Start the first interval 0.5 below the minimum value in the data set. Provide all the details (interval, width, etc.) on how you constructed the histogram. Make sure that you attach the histogram created by Excel. Comment on the shape of the frequency distribution (e.g., is the distribution skewed? Is the distribution approximately mound-shaped and symmetric?) for the data set based on your histogram.

c. Based on the results in part a, construct the intervals   and  for the data set. Be sure to show your interval below. Based on the results in part b, what percentage of measurements for the data set do you expect to fall in each interval? What percentage of the measurements for the data set actually falls in each interval?

d. What would be the more appropriate measure of central tendency for these data, mean or median? Why?

e. Find an interval that is likely to contain the mileage of all preowned vehicles owned by Richmond Ford. Interpret your interval.

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