
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
The chart illustrates the number of home runs hit by the top players in a month. What is the average number of home runs hit by these players?

```
Number of Home Runs   | 5 | 6 | 7 | 9 | 11 |
-----------------------|---|---|---|---|----|
Number of Players      | 7 | 5 | 4 | 3 |  1 |
```

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