
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
From a high school's senior class, $10$ students were selected. Their scores in the physics section of the college entrance examination are as follows: $75$, $76$, $80$, $83$, $88$, $88$, $90$, $92$, $95$, $98$ (unit: points). Calculate the mode and the $75$th percentile of the math scores of these $10$ students.

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