
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
If the standard deviation of the sample data $x_1$, $x_2$, $\cdots$, $x_{10}$ is $8$, then calculate the standard deviation of the data $2x_1-1$, $2x_2-1$, $\cdots$, $2x_{10}-1$.

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