
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 set of data $x\_1$, $x\_2$, $...$, $x\_5$ has an average of $5$, and $x \_{1}^{2}$, $x \_{2}^{2}$, $...$, $x \_{5}^{2}$ has an average of $33$. Find the variance of the data $x\_1$, $x\_2$, $...$, $x\_5$.

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