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I want to take a series of point pairs within a single shapefile and find a single centroid point for each pair.

For example in the image below, I would like there to be one point "31", one point "32", etc. without having to create a new point one by one.

example

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Dissolve the file based on the id field (or whatever field your numbers are in). This will create a layer with multipart point features. Then calculate the centroids (Mean Centers) of the new multipart layer.

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