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 = total length of streets within a subdivision: 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?

Answer : Step 1 of 3 : Given, 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 = total length of streets within a subdivision: 1280 960 340 1850 510 5320 1120 1000 2460 240 4390 2120 960 5850 396 2100 450 1320 2700 1419 1240 2250 530 2730 2109 3060 2320 3350 1670 3330 4770 2400 540 100 3380 1050 3150 3870 5770 360 5700 1250 3150 5220 500 2400 1890 Step 2 of 3 : a) We have to construct the stem and leaf display using the thousands digit as the stem and the hundreds digit as the leaf. Stem : tens and units digits. Leaf : first decimal place There are more observations against the stem value 0. Remaining values in the data set are greater than zero. Hence, it can be said that the distribution is positively skewed.