I am doing a county-level analysis and I would like to use ArcMap to create some variables that describe characteristics of neighboring counties. For example, I would like to know what the mean Percent Black is for each county’s neighboring counties. So, if a "County A" has 3 bordering counties, 1 with 2% Black, 1 with 10% Black and 1 with 4% Black, then it would be assigned a value of 5.34 on the variable. I would also like to create a variable that includes the highest percent Black of any bordering county. So, in the previous example, "County A" would be assigned a value of 10.
Does anyone know how to accomplishing this in Arc Map? I’ve been looking over the Geostatistical Analyst tools but the closest thing I could find was the Voronoi maps option but it looks like that tool completely changes your polygons before providing descriptive statistics.