
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 variance of $2$, what is the standard deviation of the data $2x_{1}$, $2x_{2}$, $2x_{3}$, $2x_{4}$, $2x_{5}$?

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