
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
An iterative average process is applied to the numbers 2, 4, 6, 8, and 10 in some order. The mean of every two consecutive numbers is calculated first, followed by the average of the resultant value with the next number, and so forth until all numbers are included. Determine the difference between the maximum and minimum possible final averages that can be achieved using this method.
A) 3.25
B) 4.25
C) 5.25
D) 6.25
E) 7.25

Present the answer in LaTex format: \boxed{Your answer}
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