Weighted Index Rechner — Formel
## How to Calculate a Weighted Index
### Formula
**Weighted Index = Sum(Ii * Wi) / Sum(Wi)**
A weighted index combines multiple individual indices using importance weights. This is how composite indices like the CPI are constructed: each component's index is multiplied by its weight (often an expenditure share), then divided by the total weight.
### Formula
**Weighted Index = Sum(Ii * Wi) / Sum(Wi)**
A weighted index combines multiple individual indices using importance weights. This is how composite indices like the CPI are constructed: each component's index is multiplied by its weight (often an expenditure share), then divided by the total weight.
Lösungsbeispiel
Three items: indices 110, 130, 95 with weights 0.4, 0.35, 0.25.
- Weighted sum = 110*0.4 + 130*0.35 + 95*0.25
- = 44 + 45.5 + 23.75 = 113.25
- Total weight = 0.4 + 0.35 + 0.25 = 1.0
- Weighted index = 113.25 / 1.0 = 113.25
- Overall prices are 13.25% above the base.