wrong [rɔŋ]
a. 错误的,不正当的,失常的
ad. 错误,邪恶
例句用法:
What's wrong with you?
你怎么回事？
You wronged him by saying that he had lied.
你说他说谎是冤枉了他。
It's wrong to tell lies.
说谎是不道德的。

mistaken [mis'teikən]
a. 犯错的,错误的
vbl. 误认,弄错
例句用法:
If I'm not mistaken, that's the man we saw on the bus.
要是我没认错人的话，我们在公共汽车上看见的就是那个男子。
You must have mistaken her for her sister.
你一定是把她误认为是她的姊妹了。
If you thought she intended to be rude, you were mistaken.
如果你认为她是故意粗鲁无礼，那你就弄错了。

个人感觉，wrong 是有实质性的错误，而mistaken 只是误会了，没有什么是非的实质性错误。