Does produced data fall under the "data collection" category? I am not sure whether data governance and policy is covered by this community. I'm giving it a try and let me know if I need to adjust.

While surveying all the data of my current employer, and developing a data governance policy, I am able to categorize two different sets of data on our customers:


data we collect on customers
data we produce about customers


Example in the context of my organisation (the data producer and data collector) being a school: 


Collected Data: the student's parent's names and date of birth
Produced Data: the student's grades.


However, from the general definition of data collection, it seems that the data produced also falls under the "data collection" term. Is there a generally accepted term to dissociate these two categories?
There are probably many ways to think about this, but in the statistical world view I think the word you are looking for is dependent variable. 

Statistician see students (or any other object for that matter) as a stochastic process that produce outcomes (dependent variables) given traits that we can observe (independent variables). 

Data scientists tend to call those things target outcomes and features respectively. 

None of these terms however mean anything about who owns the data. Philosophically a dependent variable is produced by the stochastic process (the outcome is governed by the givens), and are in a sense a characteristic of the process. Policywise this doesn't carry much weight though. GDPR for instance is mainly concerned about data that can be used to identify persons. That isn't likely the case with outcome variables, but it can be!