
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
Given John’s book shelf has eight books with widths measured in centimeters as follows: $5$, $\dfrac{3}{4}$, $1.5$, $3.25$, $4$, $3$, $\dfrac{7}{2}$, and $12$, calculate the average width of the books on the shelf in centimeters.

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