
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
In a class of $10$ students, the scores of the physical education test are as shown in the table below:

| Score | $30$ | $25$ | $20$ | $15$ |
|-------|------|------|------|------|
| Number of Students | $2$ | $x$ | $y$ | $1$ |

If the average score is $23$ points, the median is ______, and the mode is ______.

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