Solution Found!
Solved: The article cited in Exercise 20 also gave the
Chapter 1, Problem 21E(choose chapter or problem)
Problem 21E
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?
Questions & Answers
QUESTION:
Problem 21E
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:
Solution
Step 1 of 2
Given that y is the no.of culs-de-sac
And z is the no.of intersections
a) We have to construct a histogram for y data
The frequency distribution of y is
Number |
Frequency |
0 |
17 |
1 |
22 |
2 |
6 |
3 |
1 |
4 |
0 |
5 |
1 |
Plot the histogram from the Ms-Excel by following the steps below
1. Select the data and go to insert
2. Select columns in the list select first plot
3. Then select ok
It will give the histogram
The proportion of subdivisions had no culs-de-sac is 17/47=0.362
The proportion of subdivisions had at least one culs-de-sac is (47-17)/47=0.638