
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 sample data set ${x_{1}}, {x_{2}}, \cdots , {x_{2017}}$ with a standard deviation of $4$, if ${y_{i}}=2{x_{i}}-1 (i=1,2,3,\cdots ,2017)$, calculate the standard deviation of the data set ${y_{1}}, {y_{2}}, \cdots , {y_{2017}}$.

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