四个词都可表示“错误”，但侧重点不同。

mistake 强调日常生活中判断和看法的错误，其使用范围较宽，可指各种错误。

It was a mistake buying that house. 买那套房子是个错误。

Regardless of how often I correct him, he always makes the same mistake.

不管我怎样经常告诫他, 他总是犯同样的错误。

error 强调违反某一标准做的错事，包括道德上的错误。其使用范围较窄，常指在计算、书写等过程中出现的“差错”。

He can't forget the errors of his youth. 他忘不了他年轻时犯的错误。

You made an error in your calculation.你计算中犯了一个错误。

fault 强调责任或性格上的弱点，通常指人的“过失，过错”。

It 's my fault that we had missed the bus.我们错过了汽车是我的错。

His greatest fault is that he talks too much. 他最大的缺点是说得太多。

wrong 不公正、冤屈；罪过、罪恶

I have done you a great wrong. 我使你受了很大的委屈。

He doesn't know the difference between right and wrong. 他是非不分。