If I understood correctly your problem, you actually cannot use classification, nor any other statistical procedure, to predict individual properties.

Your problem is, as far as I understood, that you have only average knowledge on a group of users, so the best you can do is to assume that all users have the same properties. There is no way to recover individual properties, unless you get some individual data.

Or, if you have individual data on a different property B, strongly correlated with the original property A that you want to study at individual level, you can try to recover it in an indirect way.

For instance, reversing your example, suppose you have individual data on user preferred 'Program' but you don't have data on user age-class: you could try to infer each user age-class from the characteristics of the preferred program (think, e.g. to programs targeted to kids).

It's clear, however, that this method can hardly be a robust one.

I believe that the conundrum which you face is a special case of the 'ecological fallacy' [Robinson, W. S. (1950). Ecological Correlations and the Behavior of Individuals. American Sociological Review, 15(3), 351–357. http://doi.org/10.2307/2087176]

It is not possible to infer the particular characteristics of an individual member of a class based the average characteristics of the class as a whole.

If you ain't got the data, you ain't got the data.

If I follow you correctly, you might trysome form of cluster analysis, 

Maybe look for something like k-means clustering algorithm.

Unfortunately, I only recently started exploring this field, so my knowledge might not be too deep.

No, the original poster says that no individual data is available. This fact rules out in principle any solution.

He must access to some indvidual data (on the desired property or, perhaps, some surrogate property) in order to apply any classification or cluster or whatever data mining method.