Find the Average Without Calculating: Numbers 133, 106, 176, 126, 199

To solve this problem, we'll visually estimate a balance of the numbers provided:

1. First, identifying the extremities: - The lowest number is $106$ - The highest number is $199$.
2. The middle range involves $126$, $133$, and $176$, which cluster around $148$.
3. Although $199$ and $106$ stretch the average, $133$ and $126$ counteract $176$'s high point.
4. Thus, balancing these extremities by approximating allows $148$ to emerge as a logical middle value.
5. Therefore, the estimated average that best represents the centrality of these numbers is $148$.

Accordingly, we choose 148 as the best estimate for the average, which is represented by Choice 3: $148$.