CR3.11 The article “Determination of Most Representative Subdivision” (Journal of Energy Engineering [1993]: 43–55)

gave data on various characteristics of subdivisions that could be used in deciding whether to provide electrical power using overhead lines or underground lines. Data on the variable x 5 total length of streets within a subdivision are as follows:

1280 5320 4390 2100 1240 3060 4770 1050 360 3330 3380 340 1000 960 1320 530 3350 540 3870 1250 2400 960 1120 2120 450 2250 2320 2400 3150 5700 5220 500 1850 2460 5850 2700 2730 1670 100 5770 3150 1890 510 240 396 1419 2109

a. Construct a stem-and-leaf display for these data using the thousands digit as the stem. Comment on the various features of the display.

b. Construct a histogram using class boundaries of 0 to

,1000, 1000 to ,2000, and so on. How would you describe the shape of the histogram?

c. What proportion of subdivisions has total length less than 2000? between 2000 and 4000?