Yeah for some reason the English-speaking world in particular often gets this wrong. Scandinavians are those who speak Germanic languages that descend from Norse. Finns, although Nordic, speak a Finno-Ugric language. Confusingly, the peninsula on which all these peoples live is called Fennoscandia. There is a gulf that splits Scandinavia and Finland but not much longer because of a very rapid rate of post-glacial land uplift. Another thing that adds to the confusion is that Finland is bilingual (Finnish, Swedish) because the Swedes were kind enough to look after us for half a millenium before losing the province to Russia in a war in the early 19th century.
Iceland is a bit unique, but fascinating history. I recommend everyone go there at least once in their lives, if only to eat puffin or the putrefied shark or the alcohol with it.
So is Iceland in Scandinavia or not?
I am now getting conufesd.