
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 set of data $x_1, x_2, x_3, x_4, x_5$ with an average of 2 and a variance of $\frac{1}{3}$, determine the mean and variance of another set of data $2x_1-1, 2x_2-1, 2x_3-1, 2x_4-1, 2x_5-1$ respectively.

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