Answer
$\left( 4,16 \right)$
Work Step by Step
Using the Midpoint Formula, $\left( \dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2} \right)$, the midpoint of the two given points is
\begin{array}{l}
\left( \dfrac{-3+11}{2},\dfrac{8+24}{2} \right)
\\\\=
\left( 4,16 \right)
.\end{array}