
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
A school has \( 150 \) students and \( 6 \) teachers. During a period, each student attends one class, and each teacher teaches one class. The class enrollments are \( 60, 50, 20, 10, 5, \) and \( 5 \). Let \( t \) be the average number of students in a class if a teacher is picked at random. Let \( s \) be the average number of students in a class if a student is picked at random. Calculate \( t-s \).
A) -19.35
B) -13.5
C) 0
D) 13.5
E) 19.35

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