lol at calling wikipedia “your rules” as if I have any ownership of that website.
I never said averages have different meanings. I said there are different types of averages. You really jumped to the weirdest conclusion here. It’s as if I say “there are multiple types of shapes: squares, circles, triangles, etc” and you reply “by your rules, shape has no less than 7 meanings.” No, that’s not what was said and certainly not what was meant to be implied at all.
And to answer your question, specificity isn’t always required, so it’s perfectly acceptable to use the more vague term at times. Other times, it creates confusion or ambiguity, so it’s better to use a more specific word. If someone said “average,” I’d probably assume they meant the most common type of average: mean. That might be a wrong assumption, but thats just how words work. Some are more specific than others.