When people say things like "we have a wide variety of products" or "product x can run in a variety of modes", what is the lowest number of modes or products which one can comfortably call a variety? Is having 2 things, a red and blue widget say, a satisfactory quantity to call "a variety of widgets" ? If not a simple number, perhaps it would be the level of differences between the things? I could safely declare a variety of widgets (red and blue) but not a variety of products (I just have widgets). Thoughts?
Apologies if this is not really "mathematics" but you folk seem to be the perfect group and this sort of comes down to sets perhaps.
As mentioned in the comments, this is really an issue of language and psychology. For example, linguists have studied the different concepts and vocabulary that are used in different languages.
The mathematical approach would be to recognise that "wide variety" isn't well defined and either avoid it or say something like "For the purposes of this problem, I will treat a wide variety of $x$ as meaning . . . " and proceed to define it in whatever way suits the problem at hand.