
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
The sample data of the weight (unit: $g)$ of a certain brand of milk is as follows: $110.2$, $109.7$, $110.8$, $109.1$, $108.9$, $108.6$, $109.8$, $109.6$, $109.9$, $111.2$, $110.6$, $111.7$. Find the $80$th percentile of this data set.

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