
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 daily timing errors of $10$ watches with $3$ watches having an error of $0$ seconds, $4$ watches having an error of $1$ second, $2$ watches having an error of $2$ seconds, and $1$ watch having an error of $3$ seconds, calculate the average daily timing error (in seconds) of these $10$ watches.

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