1. Given points: $(2,3)$, $(5,5)$, $(3,6)$, $(7,6)$, and $(5,8)$. 2. The problem appears to be a set of points in the coordinate plane. 3. Typically, we may want to find the bounding box, the line passing through some points, or any pattern. 4. If the goal is to find the centroid (average of x and y coordinates), calculate: $$\text{Centroid}_x = \frac{2+5+3+7+5}{5} = \frac{22}{5} = 4.4$$ $$\text{Centroid}_y = \frac{3+5+6+6+8}{5} = \frac{28}{5} = 5.6$$ 5. The centroid is at point $(4.4, 5.6)$. 6. If a different calculation is desired, please specify.