
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
During a physical examination, the heights (in meters) of 7 students were measured as $1.72$, $1.78$, $1.75$, $1.41$, $1.80$, $1.69$, and $1.77$. What is the $75$th percentile of this data set in meters?

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