The article cited in Exercise 20 also gave the following values of the variables y = number of culs-de-sac and ?z = ?number of intersections: a?. ?Construct a histogram for the ?y ?data. What proportion of these subdivisions had no culs-de-sac? At least one cul-de-sac? b. ?Construct a histogram for the ?z ?data. What proportion of these subdivisions had at most five intersections? Fewer than five intersections? Reference exercise 20 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 2 : Given, The article cited in Exercise 20 also gave the following values of the variables y = number of culs-de-sac and z = number of intersections Totally we have 47 observations a) The frequency of each dataset is Y Frequency 0 17 1 22 2 6 3 1 5 1 From Excel > enter the data > find the frequency > select the data > go to insert > select the graph From the above histogram the number of subdivisions having no-cul-de-sacs (that is y = 0) is 17/47 = 0.362 or 36.2% The proportion having a least one cul-de-sacs (y1) is (47-17)/47 = 0.638 or 63.8%