
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 set of $n$ numbers where $n > 3$, of which one is $1 - \frac {1}{n}$, one is $\frac {1}{n}$, and all the others are $1$. Calculate the arithmetic mean of these $n$ numbers.
**A)** $\frac{n}{n-1}$
**B)** $1 - \frac{1}{n^2}$
**C)** $1 - \frac{1}{n}$
**D)** $\frac{1}{n}$

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