
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
Xiaoliang works an average of 8 hours per day during the last week. If the number of hours he worked from Monday to Friday are 5, x, 8, 11, y, respectively, what is the minimum value of the variance?

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