
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}\\), find the average and variance of another set of data \\(3x_1-2, 3x_2-2, 3x_3-2, 3x_4-2, 3x_5-2\\).

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