Answer
$$\left(5,\:\frac{9}{2}\right)$$
Work Step by Step
Using the distance formula, we find:
$$\sqrt{\left(15-\left(-5\right)\right)^2+\left(8-1\right)^2}\\ \sqrt{449}$$
Using the midpoint formula, we find:
$$\left(\frac{15-5}{2},\:\frac{8+1}{2}\right)\\ \left(5,\:\frac{9}{2}\right)$$