
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 the median of the data $x_1, x_2, \cdots, x_n$ is $a$ and the variance is $s^2$, determine the median and standard deviation of $3x_1+5, 3x_2+5, \cdots, 3x_n+5$.

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