When used alongside the word 'described', the preposition 'in' would be the equivalent of either 'via' or 'inside'. So, in the example you've given, the correct answer is 'in', because the methodology is described via (i.e. through the means of) the table/figure. An example of its equivalence with 'inside' could come about if, say, a publication had run an article on the methodology, in which ...
prepositions - Is it "described in" or "described on"? - English ...
I believe if something is described by something else, the thing in question is all there is for the description to have been made. On the other hand, if something is described with something else, the thing in question is a part of the solution, which helps the overall description. To make the explanation easier, let's try some examples:
The descriptor is the term that describes something. Is there a word for that which is being described? Many English words exist that have this "affected-affector" relationship. For example, it ex...
Word for Thing Being Described? - English Language & Usage Stack Exchange
The first is simply "indescribable", which cannot be described because it's too unusual or extreme. You can also try "undefinable", that is, not able to be defined or described exactly. There is another word which means that you cannot speak about it: "ineffable". Similar words are "unfathomable" and "inexpressible".
The feeling can be described as bittersweet, defined as per the Cambridge Dictionary: containing a mixture of sadness and happiness For example: The end of a vacation is always bittersweet. After days of fun and festivity, it’s hard not to be happy, even if you know all the joyful adventuring is about to come to an end. It can equally be applied to other largely positive major life events ...