A public facility is to be located as closely as possible to the mean center of five residential areas. Given the following data:
|
x-coord.
|
y-coord.
|
Population
|
|
3
|
7
|
40
|
|
2
|
2
|
10
|
|
1
|
1
|
50
|
|
6
|
2
|
30
|
|
2
|
5
|
20
|
(a) Find the mean center. What is the aggregate travel distance? Find the aggregate travel distance for each of the four grid points surrounding the mean center. In which direction(s) is the median center likely to be located?
(b) Find the standard distance.
(c) Assuming that the study area is bounded by (0,0) in the southwest and by (6,7) in the northeast, find the relative dispersion.