
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
Arrange the numbers 1.5, 2, 3, 4.5, and 5.5 in ascending and descending order, and then calculate the result of each iterative average, and finally, find the difference between the largest and the smallest possible values that can be obtained.

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