
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
Mrs. Thompson awards extra credit in her class to students with quiz grades that exceed the class average. She currently has 150 students who took the quiz. Knowing that not all students can exceed the mean, what is the maximum number of students who can receive extra credit if their scores are either of two values?

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