
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 length of wheat ears (unit: $cm$) of a certain variety are as follows: $10.2$, $9.7$, $10.8$, $9.1$, $8.9$, $8.6$, $9.8$, $9.6$, $9.9$, $11.2$, $10.6$, $11.7$. What is the $80$th percentile of this data set?

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