
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 variance of the data set $a_{1}, a_{2}, a_{3}, a_{4}, a_{5}, a_{6}$ is $2$, calculate the variance of another data set consisting of $2a_{1}, 2a_{2}, 2a_{3}, 2a_{4}, 2a_{5}, 2a_{6}$.

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