For line and polygon features, feature true geometric centroids are used in computations. For multipoint, polyline, or polygons with multiple parts, the centroid is computed using the weighted mean center of all features. The weighting for point features is 1; for line features, it is length; and for polygon features, it is area.
In most cases, no solution is required. If, however, the input feature class includes multipoint features, and you would like to assess the individual point locations (each part) individually, run the Multipart To Single Part tool prior to running the Collect Events tool.