
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
Modify the basketball team's heights in the original stem and leaf plot to include a player exceptionally tall. Here's the new representation for the heights, in inches, of the players on the Blue Ridge Middle School girls' basketball team (Note: $7|1$ represents 71 inches):

Heights of the Players on the Basketball Team (inches)

$4|7\;9$

$5|1\;3\;5\;5\;8$

$6|0\;2\;3\;4\;5\;7$

$7|1\;2\;3$

Calculate the mean height of the players on this team.

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