When interpretations arrive at a different meaning for a text, does this suggest that the meaning of the text is uncertain or that it has been read incorrectly by one or both parties?

When we first were given this questions, I though, “of course not, a variety of interpretations means a text is versatile.”  The only “incorrect” interpretation, which is pretty much an educated opinion, is one that was arrived at without any work, with lazy support, and without justification.
Just about any interpretation can be made about a text, but it’s not really worth considering if the interpreter doesn’t defend it.

Next we approached this question as if we were interpreting the Bible.  All the sudden, it matters if people arrive at different interpretations because the Bible, for Christians, is our instruction book for this life and the next.  But then again, the Bible is a written text just like any other written text, words on a page. written by humans.  The interpretation of the Bible though, especially in this country which was founded on Christianity, is crucial.  How the powers at be decide the Bible is interpreted can determine personal freedoms.  For example, if the majority this the Bible says homosexuality is wrong, then the laws will state that a man cannot marry a man and a woman cannot marry a woman.  I think its dangerous to jump to any conclusion about a text, but especially the Bible.