
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 number `n` is added to the altered set `{2, 5, 8, 11}` so that the mean of this new set of five numbers is equal to its median, and `n` is a two-digit number. How many possible values of `n` satisfy these conditions?
A) 0
B) 1
C) 2
D) 3 
E) More than 4

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