Subjects geography

Centrality Index 662089

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1. **Stating the problem:** We are asked to determine the order of villages (Desa) using the Marshall Centrality Index and Skalogram method based on the given facility data. 2. **Understanding the Marshall Centrality Index:** The Marshall Centrality Index for each village is calculated by summing the scores of all facilities in that village. This index reflects the centrality or importance of a village based on the availability of facilities. 3. **Calculating the Marshall Centrality Index:** Sum all facility values for each village from both tables. 4. **Example calculation for Kwadungan:** From first table: $0+1+0+0+1+0+0+0+0+0=2$ From second table: $0+2+5+0+0+10+0+1+0+0=18$ Total Marshall Index for Kwadungan: $2+18=20$ 5. **Repeat for all villages:** - Warukkalong: $(3+3+0+0+0+0+1+0+0+1)+(0+4+13+0+0+11+1+1+0+0)=8+30=38$ - Simo: $(1+1+1+1+0+0+2+0+2+0)+(0+1+12+0+0+14+0+1+1+0)=8+29=37$ - Sumengko: $(1+1+0+0+0+1+0+0+0+0)+(1+0+13+1+0+7+0+1+0+0)=3+23=26$ - Pojok: $(1+2+1+0+0+0+1+0+0+0)+(1+2+19+0+0+8+0+1+0+0)=5+31=36$ - Kendung: $(1+1+0+0+0+1+0+0+0+0)+(0+1+12+0+0+2+0+1+0+0)=3+16=19$ - Paras: $(2+3+0+0+0+0+0+0+0+1)+(1+1+1+0+0+19+0+1+0+0)=6+23=29$ - Pleset: $(0+3+0+0+0+0+0+1+0+0)+(0+4+0+0+0+14+0+1+0+1)=4+20=24$ - Pangkur: $(1+3+0+0+1+0+1+0+1+1)+(1+4+0+1+1+49+1+1+1+0)=8+59=67$ - Waruk Tengah: $(2+2+1+0+0+0+0+0+0+2)+(1+2+2+0+0+37+0+1+0+0)=7+43=50$ - Ngompro: $(3+2+0+0+0+0+0+0+0+0)+(1+6+1+1+0+29+0+1+0+0)=5+39=44$ 6. **Ranking villages by Marshall Centrality Index:** 1. Pangkur: 67 2. Waruk Tengah: 50 3. Ngompro: 44 4. Warukkalong: 38 5. Simo: 37 6. Pojok: 36 7. Paras: 29 8. Sumengko: 26 9. Pleset: 24 10. Kwadungan: 20 11. Kendung: 19 7. **Skalogram method:** The Skalogram method involves ordering villages based on cumulative scores and checking for a hierarchical pattern. Here, the Marshall Index ranking already reflects this order. **Final answer:** The order of villages from highest to lowest centrality is: Pangkur, Waruk Tengah, Ngompro, Warukkalong, Simo, Pojok, Paras, Sumengko, Pleset, Kwadungan, Kendung.