1. **State the problem:** We need to calculate the percentage error when the predicted temperature is 25 and the actual temperature is 22.
2. **Formula for percentage error:**
$$\text{Percentage Error} = \left| \frac{\text{Predicted Value} - \text{Actual Value}}{\text{Actual Value}} \right| \times 100\%$$
3. **Substitute the values:**
$$\text{Percentage Error} = \left| \frac{25 - 22}{22} \right| \times 100\%$$
4. **Calculate the difference:**
$$25 - 22 = 3$$
5. **Divide by actual value:**
$$\frac{3}{22} \approx 0.13636$$
6. **Multiply by 100 to get percentage:**
$$0.13636 \times 100 = 13.636\%$$
7. **Final answer:** The percentage error is approximately **13.64%**.
Percentage Error
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.