To determine the size of a circle in the map in Figure 11.6, we used a scaling of the square-root of population. We found that the range in population was so large that when the largest countries had a reasonably sized disk, the disks for the smaller countries could not be seen. To address this problem we created a lower bound for the disk size so that no matter how small the country, a disk with this minimum size would be plotted. Find an alternative scaling for population that instead caps the size of the larger countries. That is, for very large countries, no matter how large the population, the disk plotted on the map is no bigger than this cap. Remake the map using this approach to scaling the circles.
