1: I wish to create a mean coordinate for a group of points. However, I would like the new point to be snapped to the nearest point from the set of points used to generate it.
How might one go about this, if at all possible?
2: I have come to the stage where I have many shapefiles I wish to create mean coordinates for. Is it possible to make QGIS generate these all in one go? As opposed to manually generating the coordinate through inputting one shapefile at a time.
A very simple approach would be to do it in a couple of steps. First calculate the mean coordinate and then use that to select the nearest point from the original layer and save that as your new "mean".
EDIT (more detail):
Use Vector->Analysis Tools->Mean Coordinates to calculate your actual mean point. Then you may be able to merely pick the point manually if it is obvious. Alternatively go use Vector->Analysis Tools->Distance Matrix tool to identify the nearest point(s). The output of the distance matrix tool is a table. I'd go this way if you have a lot of clusters each with their own mean. You can then do a table join back to your points and select the points with the smallest value in the distance field from the join table for each cluster. Whether you do the selection manually or by the distance matrix method, you then just save your selection as a new dataset.
