1. **Problem Statement:** Why is average deviation useful in monitoring fuel efficiency? 2. **Understanding Average Deviation:** Average deviation measures the average amount by which each data point differs from the mean. It helps quantify variability or consistency in data. 3. **Formula:** $$\text{Average Deviation} = \frac{\sum |x_i - \bar{x}|}{n}$$ where $x_i$ are data points, $\bar{x}$ is the mean, and $n$ is the number of data points. 4. **Why Useful in Fuel Efficiency Monitoring:** - It shows how much daily fuel consumption varies from the average. - Smaller average deviation means fuel usage is consistent, indicating efficient and predictable operations. - Larger average deviation signals irregular fuel consumption, which may indicate inefficiencies or operational issues. 5. **Interpretation:** By monitoring average deviation, engineers can detect unusual fuel consumption patterns early and take corrective actions to optimize fuel use and reduce costs.