1. (a) Find the weighted mean center of population, where cities' popula- tion and coordinates are given as follows:
|
City
|
x
|
y
|
Population
|
|
A
|
3.3
|
4.3
|
34,000
|
|
B
|
1.1
|
3.4
|
6,500
|
|
C
|
5.5
|
1.2
|
8,000
|
|
D
|
3.7
|
2.4
|
5,000
|
|
E
|
1.1
|
1.1
|
1,500
|
(b) Find the unweighted mean center, and comment on the differences between your two answers.
(c) Find the distances of each city to the weighted mean center of population.
(d) Find the standard distance (weighted) for the five cities.
(e) Find the relative standard distance by assuming that the study area is a rectangle with coordinates of (0,0) in the southwest and (6,6) in the northeast.
(f) ) Repeat part (e), this time assuming that the coordinates of the rectangle range from (0,0) in the southwest to (8,8) in the northeast.