
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 sample data $a_{1}$, $a_{2}$, $a_{3}$, $a_{4}$, $a_{5}$ is ${s^2}=\frac{1}{5}({a_1^2+a_2^2+a_3^2+a_4^2+a_5^2-80})$, then the mean of the sample data $2a_{1}+1$, $2a_{2}+1$, $2a_{3}+1$, $2a_{4}+1$, $2a_{5}+1$ is ______.

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