
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
Below is a graph showing the number of home runs hit in April by top hitters in a league. Calculate the mean number of home runs based on the data provided:

| Number of Home Runs | Number of Players |
|---------------------|-------------------|
| 5                   | 4                 |
| 6                   | 5                 |
| 7                   | 3                 |
| 8                   | 2                 |
| 9                   | 2                 |

Calculate the mean (average) number of home runs hit by these players.

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