
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 $(x\_1)$, $(x\_2)$, $(x\_3)$ with a variance of $s^{2}= \frac {1}{3}(x\_1^{2}+x\_2^{2}+x\_3^{2}-12)$, find the average of the data $(x\_1+1)$, $(x\_2+1)$, $(x\_3+1)$.

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