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Well, if the point was to show that YouTube containe a massive amount of information, I think whatever the answer would be would convey it at least somewhat well
The problem is that YouTube is a site that hosts video content. Newspapers contain print media. How are we gauging how much a video weighs on a newspaper? Is there a set number of frames per page? Does each frame get printed on its own page? Is it just a dump of the raw data in text form? It’s a terrible comparison to make because you’re taking about two completely different media.
A better question would be “if YouTube was a collection of VHS tapes/DVDs/BluRays how much would it weigh?”