I just discovered that Esri published this short article that I wrote on population-weighted centroids rather than geometric centroids. You can view the ArcUser article HERE. If you are interested in accessing the data used to make these maps please click HERE. This article was inspired by the endless hours looking at COVID maps at the height of the pandemic and noticing that Washoe County's dot was centered on Gerlach instead of Reno on pretty much every map.
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