
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 mean of a set of data ${x}_{1},{x}_{2},{x}_{3},{x}_{4},{x}_{5}$ is $2$, and the variance is $\frac{1}{3}$. What is the mean and variance of another set of data $3{x}_{1}-2,3{x}_{2}-2,3{x}_{3}-2,3{x}_{4}-2,3{x}_{5}-2$ respectively?

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