
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
To promote traditional culture on the eve of the Dragon Boat Festival, a school held a "poetry competition". $15$ students from a class participated in this competition, and their scores are shown in the table below. Find the median score of all $15$ students.

| Number of Students | $1$ | $6$ | $5$ | $3$ |
|--------------------|-----|-----|-----|-----|
| Score              | $70$| $80$| $90$| $100$|

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