
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 a set of positive numbers $x_1$, $x_2$, $x_3$, $x_4$ with variance $s^2 = \frac{1}{4}(x_1^2 + x_2^2 + x_3^2 + x_4^2 - 16)$, find the average of the data $x_1 + 2$, $x_2 + 2$, $x_3 + 2$, $x_4 + 2$.

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