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.
Centrality Index 662089
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