Ethnicity- a shared cultural heritage.
a. There are many ethnicities or heritages in Family Guy. The group of friends in Quahog could be considered of the same heritage. Also, a excellent example of this would be the episode of "Peter's Two Dads" where Peter finds out that his real father lives in Ireland. Peter is informed of his ancestors and that his Irish heritage is where he gets his drinking nature. Peter becomes proud of his father and that he now knows his real heritage.

Stereotype- a simplified description applied to every person in some category.
a. The sitcom Family Guy is filled with stereotypes. The show is based around poking fun at popular stereotypes in the media today. For example, in the episode "Family Goy" the characters, namely Peter, poke fun at Jewish stereotypes. Lois recently found out she had a Jewish relative and so Peter embraces the culture by following the "typical" Jewish standards. He comes back with grisly black chest hair, a Hebrew name of Ch-ch-ch, and he begins to follow the Jewish faith by going to a synagogue.

Scapegoat- a person or category of people, typically with little power, whom other people unfairly blame for their own troubles.
a. Undoubtedly, in the show Family Guy, the scapegoat of everyone's problems is usually Meg. Meg is blamed especially for Peter's troubles and he expresses much annoyance when she is around him. Peter usually refers to Meg as a "mistake", farts in her face, and he tries to make a fool of her in any way possible.

Assimilation- the process by which minorties gradually adopt patterns of the dominant culture.
a. Assimilation and racism is another hot topic that Famly Guy like to poke fun at. There are instances where the group of four friends have been hanging out and Cleveland won't be able to do the activity because he's black. But, there's also instances where Cleveland attends an African-American March in support of rights. Those above-stated instances show examples of race issues in the show, but there are also episodes where Cleveland fits directly into the culture and has many equal rights. This shows assimilation and that people don't mind a black character.

Race- a socially constructed category of people who share biologically transmitted traits that members of a society consider important.
a. In the group of friends that Peter has, they are all Caucasian except for one member, Cleveland. Cleveland is black and many of the group's jokes are centered around his race. They all accept him for who he is and aren't racist by any means, but he is the main character in the show that isn't of white skin color.

Minority- any category of people distinguished by physical or cultural difference that a society sets apart and subordinates.
a. The town of Quahog is very heavily composed of citizens of white skin color. This is also shown in the town's new station, Channel 5 News. Every single time that the two white anchors have to go to their employee that happens to be Asian, they say, "let's send this one out to our Asian reporter."

Prejudice- a rigid and unfair generalization about an entire category of people.
a. In an episode where they poke fun of Walt Disney, he shows how prejudice he is. They flash a clip to him and ask, "Has Walt Disney been unfrozen yet?". He then gets up out of his capsule and asks the doctor if the Jews are gone yet. When the doctor says no and that they're still here, Walt tells him to put him back in.

Racism- the belief that one racial category is innately superior or inferior to one another.
a. In an episode where it flashes to a random scene, it flashes to a bar with a white man, a black man, and a horse that can talk. When the two guys make a joke about appearances, the horse takes offense and proceeds to make a joke about the black man to prove a point. He asks the black man, "Hey why are there so few black men in baseball? Because they're always stealing bases." That racist joke was not taken lightly by the man who expressed his disliking.

Walt Disney asking to be refrozen showing his prejudice against Jewish people

The racist horse making a joke to the black man