
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 data x<sub>1</sub>, x<sub>2</sub>, …, x<sub>6</sub> with a variance of 2, and $$(x_{1}-1)^{2}+(x_{2}-1)^{2}+…+(x_{6}-1)^{2}=18$$, $$\overset{ -}{x}≠0$$, find the value of $$\overset{ -}{x}$$.

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