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 =(

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 7 months ago

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