
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
A person's commute time to work (in minutes) on five occasions was $x$, $y$, $10$, $11$, and $9$, respectively. If the average of this set of data is $10$ and the variance is $2$, then the value of $|x-y|$ is.

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