
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 average of the set ${x_1}, {x_2}, {x_3}, \cdots {x_n}$ is $4$, and the standard deviation is $7$, find the average and the standard deviation of the set $3{x_1}+2, 3{x_2}+2, 3{x_3}+2, \cdots 3{x_n}+2$.

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