Dr. Rodrigue, Quant. Mark the mean center on the map in a contrasting color or point design. Brownie points if you do the calculations on your spreadsheet. Draw a circle with that radius on the map around the mean center.
Helpful hints follow.
Area divided by pi gets you the squared radius. Discuss in your own words the difference between the general concepts of Euclidean distance and Manhattan distance. The town is a socially relatively homogeneous middle class community of about 48,000 souls, with six census tracts to its name. Each of the six tracts has roughly 7500 to 8250 people, so it's not really worth bothering to weight the tracts. Mark the center of each of the six census tracts with a point.