Electronic Supplementary Material: https://static-content.springer.com/esm/art%3A10.3758%2Fs13414-020-02134-8/MediaObjects/13414_2020_2134_MOESM1_ESM.mov (MOV 610 kb)Copyright © The Author(s) 2020. There has been a recent surge of research examining how the visual system compresses information by representing the average properties of sets of similar objects to circumvent strict capacity limitations. Efficient representation by perceptual averaging helps to maintain the balance between the needs to perceive salient events in the surrounding environment and sustain the illusion of stable and complete perception. Whereas there have been many demonstrations that the visual system encodes spatial average properties, such as average orientation...