Thanks so much for taking the time to respond.
But I'm going through ESRI Press tutorials and I've gotten as far as adjusting symbology based on attribute fields. But that doesn't solve my issue because I'm not wanting a gradient based on any field in the attribute table. I'm wanting it based on the number of features attached to a given point.
Again, multiple points (parts of the shape file with an X,Y coordinate represent numerous "features." Example, when I use the Identify tool to click on a particular point, my Identify Window slides open identifying the location, point, and various attribute fields of the first "feature." But nested beneath the layer name are 141 different observations (features) each representing a different species.
What I want is to adjust the symbol for the point so that the gradient reflects the differing number of features between points.
Adam