
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 local badminton club, the number of matches played by each player over a month is recorded. Calculate the average number of matches played, rounding off to the nearest whole number. Below is the schematic representation:

- 1 match: 4 players
- 2 matches: 3 players
- 4 matches: 2 players
- 6 matches: 2 players
- 8 matches: 4 players

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