
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 the average of $x_1, x_2, \ldots, x_{2017}$ is $4$ and the standard deviation is $3$, and $y_i = -3(x_i - 2)$ for $i = 1, 2, \ldots, 2017$, calculate the mean and standard deviation of the new data set $y_1, y_2, \ldots, y_{2017}$.

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