Need to use the Arcade GroupBy function in the online map viewer to calculate averages and symbolize the calculated averages.
That's actually a limitation in the symbology profile in Arcade. When symbolizing features with Arcade, you can only access the individual feature's attributes, not the rest of the layer. I don't expect that's going to change anytime soon.
Where were you hoping to use this function to symbolize features? If it's a Dashboard, you could use a Data Expression instead. Otherwise, you'd probably need to manually input values or use Field Calculate.
It sounds really cool, but dynamic symbology isn't something I've seen. But I could still see a way of doing this with a Data Expression if there was a set number of date filters you wanted to make.
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