difference between incorrect, untrue, false, mistaken,wrong and misguided

These words all describe something that is not right or correct, or someone who is not right about something.
incorrect - (алдаатай, зөв биш) гол төлөв гэсэн утгаар --- according to the facts and refers to specific rules, such as grammar, calculation etc
not accurate or true
    ---- incorrect information/spelling
untrue - (худалаа, үнэн биш) invented or guessed - ийн дараа худал болох нь тогтоогдох тиймээс монгол хэлнээ худлаа, үнэн биш гэж буулгавал тохиромжтой (These accusations are totally untrue. --- тэдгээр буруушаал бүхэлдээ худлаа )
1 not true; not based on facts
      ---- These accusations are totally untrue.
2 (formal) not loyal to someone or something     untrue (to someone/something)
           --- If he agreed to their demands, he would have to be untrue to his own principles
false - adjective(хуурамч, жинхэнэ биш) энэ үгийг <not natural, not genuine --- a false passport(хуурамч пасворд), false teeth (хиймэт шүд, жинхэнэ биш) > - гэсэн утгаар хэрэглэ
1 wrong; not correct or true
    --- A whale is a fish. True or false? 
2 not natural  
    ---- false teeth/eyelashes
3 not genuine, but made to look real to cheat people
    --- a false passport
mistaken - adjective(эндүү ташаа, эндүүрсэн) энэ үг <эндүүрсэн, андуурсан> - гэсэн утгаар гол төлөв хэрэглэгдэнэ ---wrong in your opinion (Unless I'm very much mistaken, that's Paul's wife over there. --- би хэрвээ эндүүрээгүй бол paul - ийн эхнэр тэнд байсан)
1 [not before noun] wrong in your opinion or judgment
mistaken (about someone/something)
     ----  You are completely mistaken about Jane.
2 based on a wrong opinion or bad judgment
     ---- I told her my secret in the mistaken belief that I could trust her.
misguided -  adjective(андуу ташаа, төөрөлдсөн)wrong because you have understood or judged a situation badly
wrong because you have understood or judged a situation badly
     --- The new proposals are, in our opinion, totally misguided.
wrong - adjective(буруу) means bad thing
1 not right or correct

difference between wrong and false

• 'False' means 'not true' as in 'a false story', 'a false beard' or 'false teeth'.
  
  'Wrong' means 'bad' or 'not right', as in 'it's wrong to steal'. It also has the sense of 'incorrect', as in the test sentence or as in 'my watch is wrong' or 'I was wrong and you were right'.

difference between mistaken and wrong

• A mistake refers to an error in a belief or decision. It does not imply something immoral(завхай, бусармаг).
  
  "Wrong" can also refer to such an error. However, it can also mean some action or belief that is not correct morally.
  
  If I add 15 plus 16 and get 35, the answer is mistaken. It is also wrong.
  
  If somebody steals something, it is not mistaken. The person intended to steal it and did. We can, however, say that he is wrong to steal. In this case, a moral judgement applies.

difference between wrong, incorrect, and false

• To the best of my knowledge, they aren't that different. They are usually interchangeable. For example:
  This answer is wrong.
  This answer is incorrect.
  This answer is false.
  All are right. But in some situation they aren't interchangeable. For example:
  If I'm not wrong, .....
  I have never heard If I'm not incorrect / false, .....

difference between incorrect and wrong

• I'd say that "incorrect" refers to specific rules, such as grammar, calculation etc.... Something incorrect is viewed as such by all people aware of these rules/laws. On the other hand, "wrong" is connected to the feeling of what's right or wrong, and hence more subjective. 

• Although most English speakers use "correct/right" and "incorrect/wrong" interchangeably, it is actually correct to use "correct/incorrect" when referring to factual information and "right/wrong" regarding moral issues. It especially matters in examples like "What you just said is incorrect" and "What you just said is wrong." The former suggests that the speakers disagree about factual information, while the latter suggests that the first speaker made a moral error. The same reasoning applies to the use of "correct" versus "right."
  
  Another englishforums user put it this way: 
  
  "'Wrong' is traditionally used to mean something is morally good or right - or that judgment is correct or inaccurate. It was used to mean an 'unjust action'. For example, it is used when someone is breaking the law.
  
  'Incorrect' is used to point out something is factually wrong or inaccurate. If something is false it is incorrect. On a business document you would inform the company your address is 'incorrect'

false  mistaken  incorrect  inaccurate  misguided  untrueThese words all describe something that is not right or correct, or someone who is not right about something.wrong not right or correct; (of a person) not right about something: I got all the answers wrong.We were wrong to assume that she'd agree.false not true or correct; wrong because it is based on something that is not true or correct: A whale is a fish.True or false? She gave false information to the insurance company.mistaken wrong in your opinion or judgment; based on a wrong opinion or bad judgment:You're completely mistaken about Jane.incorrect (somewhat formal) wrong according to the facts; containing mistakes: Many of the statistics were incorrect.inaccurate wrong according to the facts; containing mistakes: The report was badly researched and fairly inaccurate.incorrect or inaccurate?A fact, figure, or spelling that is wrong is incorrect; information, a belief, or a description based on incorrect facts can be incorrect or inaccurate; something that is produced, such as a film, report, or map, that contains incorrect facts is inaccurate.misguided wrong because you have understood or judged a situation badly: In her misguided attempts to help, she only made the situation worse.untrue not based on facts, but invented or guessed: These accusations are totally untrue.