
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 certain city, the scores of high school students in the college entrance examination (Gaokao) follow a normal distribution $N(500, 50^{2})$. Given $25000$ examinees, determine the number of students with a score between $550$ and $600$. (Reference data: $p(\mu-\sigma < X \leqslant \mu+\sigma)=0.6826$, $p(\mu-2\sigma < X \leqslant \mu+2\sigma)=0.9544$, $p(\mu-3\sigma < X \leqslant \mu+3\sigma)=0.9974$)

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