Here are the values of the variable x 5 total length of streets within a subdivision: 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 using the thousands digit as the stem and the hundreds digit as the leaf, and comment on the various features of the display. b. Construct a histogram using class boundaries 0, 1000, 2000, 3000, 4000, 5000, and 6000.
The article “Determination of Most Representative
Subdivision” (J. of Energy Engr., 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. Here are the
values of the variable x 5 total length of streets within a
subdivision:
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 using the thousands
digit as the stem and the hundreds digit as the
leaf, and comment on the various features of the
display.
b. Construct a histogram using class boundaries 0, 1000,
2000, 3000, 4000, 5000, and 6000. What proportion of subdivisions have total length less than 2000?
Between 2000 and 4000? How would you describe
the shape of the histogram?
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