
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 that the variance of the data set $a\_1$, $a\_2$, $a\_3$, ..., $a\_n$ is $S^2$, find the standard deviation of the data set $2a\_1-3$, $2a\_2-3$, $2a\_3-3$, ..., $2a\_n-3$.

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