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One of the articles that the article itself points out as a bit rubbish on the layman readability front is http://en.wikipedia.org/wiki/Mitochondrion. As a mathematician, I've always had an issue with Biology, but I can still pick out some phrases which give me reasonable information to what a Mitochondria is: "In cell biology, a mitochondrion" tells me it's a part of a cell, "Mitochondria are sometimes described as "cellular power plants," because they churn out energy for the cell", the cell structure part gives a nice image of a mitochondria, and the mitochondrial functions section gives me more information on the energy conversion and its other uses. I would say that this article is a good example of a Wikipedia article being readable to the layman (with a basic degree of Biology knowledge, otherwise why would they look at it) with enough information for the expert.
In conclusion, I don't agree with the original article's sentiment, and believe that Wikipedia Science articles are, in general, readable enough to laymen, and have enough information for experts.