
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 $(x\_1)$, $(x\_2)$, $(x\_3)$, $(…)$, $(x\_n)$ with a mean of $2$ and a variance of $3$, calculate the mean and variance of $(2x\_1+5)$, $(2x\_2+5)$, $(2x\_3+5)$, $(…)$, $(2x\_n+5)$.

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