
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
In a quality control check, Sarah wants to determine the average number of cookies in a package from a batch of 10 packages. When she counts the cookies in each, she observes there are 9, 11, 14, 12, 0 (defective package), 18, 15, 16, 19, and 21 cookies respectively. What is the average number of cookies per package including the defective one?

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