reaston
As @rmurchshafer mentioned, the only built-in way is through using outcomes. It can be done for non-outcome-criteria, but not through the graphical interface. You would need to download the rubrics for each submission using the Canvas REST API and then compile them into a usable result.
I wrote a Rubric Exporter script last August that downloads all of the rubric results and puts them into an Excel file. It works for rubrics that have points assigned, but I haven't tested it with outcomes or rubrics without points yet. For that reason, I haven't published it, but what you're asking about definitely can be done.
In January, I started adding statistics to the rubrics to find the mean, standard deviation, quartiles, or any other function you can use Excel to calculate. I even have it so that you can ask for the percent of students who scored a 70% (flexible) or higher or to give the average as a percentage of the possible points to make it easier to compare criteria with different point values. The driving force behind the decision to add statistics was because my wife wanted to do what you're asking about -- using rubrics to make informed decisions about how students are doing. Before then, I was just dumping the results to Excel and relying on knowing how to use Excel to find the statistics.
I work on it as I find time, which unfortunately isn't often enough, but my wife wants us to present about rubrics at InstructureCon in July, so if we get accepted, that's an impetus to finish it.
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