Find the Average of 11, 8, 14, 20, 7: Mental Math Approach

To solve this problem, we'll employ reasonable estimation and logic:

• Step 1: Identify the range of numbers, which is from 7 to 20.
• Step 2: Consider that the average (mean) is typically near the middle of the list when the numbers are evenly distributed.
• Step 3: Identify the number configuration: $7, 8, 11, 14, 20$. Notice $11$ is close to the middle, but $20$ as an outlier pulls the average higher.

Reviewing the numbers:

• 11 and 14 are central, flanked by 8 and 7 on the lower side, and 20 on the upper side.
• Hence, guess an average slightly above the median (11).

Since we're not calculating, a reasonable average looking at the numbers and distribution is $12$.

The solution to the problem is thus $12$.