
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 $X\_1$, $X\_2$, ..., $X\_n$ has a mean of $3$ and a variance of $5$. Find the mean and variance of the data $3X\_1+2$, $3X\_2+2$, ..., $3X\_n+2$, respectively.

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