hw1_questions

lines. Data on the variable x = total length of streets within a subdivision (measured in feet) are as follows: 2640 1250 2840 2400 1530 1240 1850 1896 1050 1450 3150 1300 2460 1120 3150 2120 1320 2100 7850 3350 1419 960 5020 4770 2250 2700 2320 2109 1280 3600 1670 840 1000 3870 1860 3380 960 2730 3330 2400 1890 4390 3060 4220 4270 4700 810 You can also download a CSV file containing this data from Canvas. a.Construct a histogram of the data using boundaries of 0 to <1000, 1000 to <2000, and so on. Describe the resulting histogram (shape, features, etc.). b.Construct another histogram of the data, but this time use boundaries of 0 to <500, 500 to <1000, and so on. Describe the resulting histogram (shape, features, etc.). c.Which of the two histograms do you prefer? Explain why. d.Construct a box-and-whisker plot of the data. Describe the resulting plot. e.Compare the box-and-whisker plot to the histograms. Discuss similarities as well as any features that are only evident in one type of plot and not in the other. f.Compute the sample mean, sample standard deviation, and five-number summary. g.Based upon your graphs above, what measures of center and spread should you use? h.Describe the data using appropriate measures of center and spread and describe any unusual features. What can you conclude about the subdivisions in this study? 8. The U.S. Department of Education publishes student loan default rates for colleges which participate in various student financial assistance programs, such as Pell grants and Perkins loans. On Canvas, you will find two files containing default rate information for borrowers who entered the repayment period in fiscal year 2018. There are two files, one from a subset of public colleges, and one from private colleges. a.Construct side-by-side boxplots of the numbers of students who defaulted (“NumberDefaulted”) for public vs. private schools. Describe any outliers or unusual features you see in the data. (You could also use histograms, but boxplots are often easier to compare.) b.Now, do the same comparison using the default rates (“DefaultRate”). c.If you were interested in comparing the loan repayment progress (or lack thereof) for public and private school borrowers, would you prefer the graph(s) from part (a) or from part (b)? Why? d.Based on this data, could you draw any conclusions about the quality of public college educational programs, the efficacy of student loan counseling programs, etc? Briefly explain your thoughts, mentioning any other likely factors that you think may be playing a role.