Fixed Base Index 8480B3
1. **State the problem:** We need to prepare fixed base index numbers using 1997 as the base year from the given price index data.
2. **Formula:** The fixed base index number for year $t$ with base year $b$ is given by:
$$\text{Fixed Base Index}_t = \frac{\text{Price Index}_t}{\text{Price Index}_b} \times 100$$
3. **Explanation:** This formula compares each year's price index to the base year's price index, expressing it as a percentage.
4. **Given data:**
- Base year 1997 price index = 115
- Other years' price indices as provided.
5. **Calculate fixed base index numbers:**
- For 1995: $\frac{100}{115} \times 100 = 86.96$
- For 1996: $\frac{108}{115} \times 100 = 93.91$
- For 1997: $\frac{115}{115} \times 100 = 100$
- For 1998: $\frac{169}{115} \times 100 = 146.96$
- For 1999: $\frac{281}{115} \times 100 = 244.35$
- For 2000: $\frac{295}{115} \times 100 = 256.52$
- For 2001: $\frac{308}{115} \times 100 = 267.83$
- For 2002: $\frac{325}{115} \times 100 = 282.61$
- For 2003: $\frac{332}{115} \times 100 = 288.70$
6. **Interpretation:** These fixed base index numbers show the relative price level of each year compared to 1997.
**Final fixed base index numbers:**
1995: 86.96
1996: 93.91
1997: 100
1998: 146.96
1999: 244.35
2000: 256.52
2001: 267.83
2002: 282.61
2003: 288.70
This completes the calculation of fixed base index numbers with 1997 as the base year.