
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 $\{x\_1,x\_2,x\_3,x\_4,x\_5\}$ with a mean of $\bar{x}=2$ and variance of $\frac{1}{3}$, find the mean and variance of another set of data $\{3x\_1-2,3x\_2-2,3x\_3-2,3x\_4-2,3x\_5-2}$.

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