Answer
The midpoint of $\overline{AB}$ is $(3, 8)$.
Work Step by Step
The midpoint of $\overline{AB}$ can be found using the following formula:
$M = (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})$
The points we are given are $(3, 0)$ and $(3, 16)$. Let's plug these points into the formula:
$M = (\frac{3 + 3}{2}, \frac{0 + 16}{2})$
Use addition to simplify:
$M = (\frac{6}{2}, \frac{16}{2})$
$M = (3, 8)$
The midpoint of $\overline{AB}$ is $(3, 8)$.