Can a comparison be achieved mathematically?

Only a Biased one.
But that is what Q=I*C is doing already.

Q=I*C is only as Valid as I.

{Although, I think it should be more specifically Q=K*C, where K = Knowledge, Where Knowledge = "Effective Processed Information".}

"Information" in this equation is only judged to be "Valid' information by a group opinion. What I mean is, in order to perform this measurement, a Set of information must have been gathered before applying this Equation. The Information used in this equation must be "Valid" to begin with, or else the results of this Eq. would be Nonsense. So, Someone, or SomeGroup, must have determined the "Validity" of this information in order to determine that, yes, this is Information that should be used to Determine the resultant Q. So, In order to determine the Validity of this Information, The qroup is biased by its own Preconception of what is Worthy Information. This Bias is based on the Groups own self-Judgement of its own Intelligence. So, in effect, the Outcome Q is a comparison between an Individual and that of a much larger group.

But, again, "Knowledge" is a better determining factor of Intellegence than "Information".