
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
A set of data consists of 2, 3, 5, 7, 9.
1. Can you calculate its median and mean?
2. If the median is denoted as $a$ and the mean as $b$, can you determine the range of the third side of a triangle with sides $a$ and $b$?
3. If $a$ and $b$ are the sides of an isosceles triangle, can you calculate the perimeter of this isosceles triangle?

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