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In: Math

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...

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 1500

This is for Geography Stats.

I have already found the weighted mean center of population. Which is (3.34,3.48)

and the unweighted mean center (2.94,2.48).

I need to find the Bachi's Weighted Standard Distance. I am completely lost with this part of the question. Any help would be much appreciated! Test tomorrow =(

Solutions

Expert Solution

CITY

X

Y

Population w

w*x

w*y

A

3.3

4.3

34,000

112200

146200

B

1.1

3.4

6,500

7150

22100

C

5.5

1.2

8,000

44000

9600

D

3.7

2.4

5,000

18500

12000

E

1.1

1.1

1500

1650

1650

Total

55,000

183500

191550

mean = total/55000

3.336364

3.482727

Weighted mean center = (3.34, 3.48)

Bachi's Weighted Standard Distance

CITY

X

Y

Population w

w*(x-xmean)^2

w*(y-ymean)^2

A

3.3

4.3

34,000

54.4

22861.6

B

1.1

3.4

6,500

32614.4

41.6

C

5.5

1.2

8,000

37324.8

41587.2

D

3.7

2.4

5,000

648

5832

E

1.1

1.1

1500

7526.4

8496.6

Total

55,000

78168

78819

Total

total/55000

1.421236364

1.433072727

2.854309

Bachi's Weighted Standard Distance = sqrt(2.854309) =1.68947

= 1.6895

milcah answered 2 years ago
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