Question

example #2:
the politician used manipulation by twisting facts and showing only certain data to gain more support.
manipulation most likely means:
the type of clue is:

example #3:
censorship, the act of blocking or removing parts of books, movies, or news, is often used to control what people see or hear.
censorship most likely means:
the type of clue is:

Explanation:

For Example #2:
The context clues "twisting facts and showing only certain data" imply that "manipulation" here means the act of influencing or controlling (people's opinions in this case) in a devious way. The type of clue is an example - based clue as the description of the action (twisting facts etc.) gives an example of what manipulation is.
For Example #3:
The phrase "the act of blocking or removing parts of books, movies, or news" directly defines "censorship". The type of clue is a definition - based clue as it provides a direct definition of the word.

Answer:

For Example #2:
MANIPULATION most likely means: the act of influencing or controlling (in a devious way). The type of clue is: example - based.
For Example #3:
CENSORSHIP most likely means: the act of blocking or removing parts (of media etc.). The type of clue is: definition - based.