Why does the convict admit to stealing the food instead of telling Joe that Pip stole it?

While this act of gratitude and kindness on the part of an escaped convict may seem be surprising and incongruous to the reader, Charles Dickens in this early chapter of "Great Expectations" sets the stage for his Appearance vs. Reality theme.

Disgruntled with the social system in his country that judged people by their class, Dickens contrasts the poor, but kind and decent underprivileged Magwitch, who was forced to steal in order to survive, with the corrupt Compeyson, the "second convict," who has exploited Magwitch for his personal gain. For, as the plot develops, the reader realizes that the appearance of class and wealth does not equate with goodness and integrity.  

I am currently stumped and an example of "MODE" that I can use to make a real-life connection for my students. Any ideas?"MODE" is the number that...

Mode is the  which appears most frequently. In your example

1 appears  3 times

2 appears  2times

3 appears 1 time

6 appears  1 time

8 appears 1 time

9 appears 1 time

Since 1 appears  maximum number of times in this example ,

1 is the mode.

Example 2: In the 8th standard the score in mathematics is as follows:

Class interval        Number of students

0 t0 19 marks         11

20 to 39 marks       20

40 t0 59 marks       39

60 to 79 marks       25

80 to 100 marks      5

The highest class of frequency  40 to 59 marks with 39 students. So 40 to 59 is the modal class interval.

When the United States joined the Allies, why did the Allies concentrate first on defeating Hitler?

Military strategy.  The main allies we had in the war who had not yet been conquered, that is, Britain and the Soviet Union, were most directly threatened by Hitler, not Japan.  So in a concession to them, and to hold the alliance together, we agreed at Casablanca (and earlier at the Arcadia Conference) to fight Hitler first and Japan second.

It also makes practical sense, in that if the Soviet Union or Britain were conquered while we concentrated on Japan, then the alliance would be much less effective sans one member.  Japan could be held at bay indefinitely, as they had no way to invade the United States proper.  By defeating Hitler first, we would then gain valuable allies (we thought at the time anyway) in defeating Japan once that was done.

In Chapter 7 of The Hobbit, what two pieces of information does Beorn gather at night in his bear form?

Beorn chiefly chooses to leave the company to discern the truth of their tale, which he manages to do by discovering the burnt wolf-glade and had actually managed to catch a Warg and a goblin wandering in the woods. From these prisoners he finds out that the goblins and Wargs were still hunting the dwarves and that they were fiercely angry because of the death of the Great Goblin and the deaths of other Goblins and Wargs. Yet he also finds something else out:

So much they told him when he forced them, but he guessed there was more wickedness than this afoot, and that a great raid of the whole goblin army with their wolf-allies into the lands shadowed by the mountains might soon be made to find the dwarves, or to take vengeance on the men and creatures that lived there, and who they thought must be sheltering them.

Beorn thus establishes the veracity of their tale but also discerns that the Goblins and Wargs are planning an attack that culminates in the Battle of the Five Armies at the end of the novel.

In Fahrenheit 451, what was Montag willing to do to convince Faber to help him carry out the plan?

In the book, Montag wants to undermine society.  His only idea is to plan books in the homes of firefighters to make them look bad.  He goes to Faber for help but Faber does not want to help him.

What Montag does is not really something that convinces Faber.  It is more like Montag blackmails him.  What Montag does is to start tearing up a Bible.  As far as Faber knew, there were none around and he really wanted to read it.  So when Montag starts tearing it up, Faber tells him to stop -- that if he stops, Faber will help him.

What is inductive-deductive paragraph? Give an example. that is part of paragraph

You asked for an example, so allow me to illustrate amarang9's excellent post. Imagine that there is a bag of potato chips that you've left open overnight and, now that you're hungry again, think might be worth eating.

You take one chip and eat it. It's stale.

You take a second chip and eat it. It's also stale.

You take a third chip and eat it. It's stale, too. 

By now, through inductive reasoning, you should have caught on that all of the chips in the bag are likely to be stale. You have moved from the particular observations (each individual, stale chip) to the general conclusion (the entire bag holds stale chips).

Now you have a general guideline -- when I leave a bag of chips open overnight, the chips will turn stale -- that may influence your behavior in the future. This general guideline may be used in deductive reasoning. Imagine that you weren't paying attention last night and, again, left a bag of chips open overnight. This time around (by applying deductive reasoning) you know with reasonable certainty that the chips will be stale. You don't have to eat one, two, or three chips to find out this time. You know to apply a general statement (an open bag of chips turns stale overnight) to a particular situation (this bag of chips was open overnight) and arrive at a conclusion (this bag of chips is stale).

I think that a number of paragraphs are structured in this manner. The particulars are first presented and discussed, and this discussion leads to a conclusion or general observation toward the end of the paragraph. This strategy is most often used when the subject is controversial. You may alienate your reader by opening a paragraph with the clearly phrased topic or general statement; you need to lead them through the particulars first.

How does Boo Radley show courage?

In "To Kill a Mockingbird" Boo has been shut away from society all of his life with the exception of when he was very young he would sometimes be seen with his mother.  He begins to put things in the tree as a means of reaching out to Scout and Jem.  It took courage for him to try and reach out to another person. After Scout tears his shirt and leaves it behind, Boo mends it.  Again he has stepped out  of his safety zone.

The evening the children are attacked by Mr. Ewell Boo was following.  We are not sure why he was following, but to confront Mr. Ewell and save the children meant that Boo would have to have physical and direct contact with another human being besides his brother.  Aside from the courage it took to thwart the attacker and protect the children, it took courage for Boo just to be in the presence of others.  He does this again when he takes Jem to his father and when he stays in the house and later allows Scout to take him to Jem, sits in the room, and walks home holding Scout's arm.