A B C D E
Homework

a. 

Here is the corresponding line plot, with the deviation for each dot included under the line:

b. 

Here is the completed table:

	Number of Coins in Stack		Deviation from the Mean
	2 -3 3 -2 3 -2 4 -1 5 0 6 +1 6 +1 8 +3 8 +3 + _______ _______ 45 0

Problem D2

Here is the line plot:

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Problem D3

Here is the line plot:

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Problem D4

The total of the deficits is (-4) + (-3) + (-3) + (-1) + (-1) = -12, so the remaining 4 stacks will need a total excess of +12 to maintain the balance required by the mean. One possible answer is for the remaining four values to be (+1), (+3), (+4), (+4) although many other answers are also possible, which corresponds to the following line plot:

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Problem D5

The line plots would all move one unit to the right. This would not change the degree of fairness, since the degree of fairness relies on the deviations from the mean. Since the mean will move right along with the values in the line plot, the deviations will not change, and likewise the degree of fairness will not change.

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