
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
The average of the data $x_1, x_2, \ldots, x_8$ is 4, and the variance is 2. Then, the average of the data $2x_1-6, 2x_2-6, \ldots, 2x_8-6$ is \_\_\_\_\_\_, and the variance is \_\_\_\_\_\_.

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