1. **Stating the problem:**
We are given yearly data from 2025 to 2031 and asked to calculate the moving average for years 2028 to 2031 using the 3-year moving average method.
2. **Formula used:**
The 3-year moving average for year $t$ is calculated as:
$$\text{Moving Average}_t = \frac{x_{t-2} + x_{t-1} + x_t}{3}$$
where $x_t$ is the data value at year $t$.
3. **Calculations:**
- For 2028:
$$\frac{10 + 12 + 18}{3} = \frac{40}{3} = 13.33$$
- For 2029:
$$\frac{12 + 18 + 16}{3} = \frac{46}{3} = 15.33$$
- For 2030:
$$\frac{18 + 16 + 12}{3} = \frac{46}{3} = 15.33$$
- For 2031:
$$\frac{16 + 12 + 20}{3} = \frac{48}{3} = 16.00$$
4. **Explanation:**
The moving average smooths out short-term fluctuations by averaging data points over a fixed period (3 years here). This helps identify trends more clearly.
5. **Summary:**
The moving averages for years 2028 to 2031 are 13.33, 15.33, 15.33, and 16.00 respectively.
Moving Average 927B7A
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