
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 recent examination, a teacher collected the following data from a test taken by her $120$ students. Calculate the mean score (out of maximum score $120$) based on the data provided:

\begin{tabular}{|c|c|}
\multicolumn{2}{c}{}\\\hline
\textbf{Score}&\textbf{Number of Students}\\\hline
120&12\\\hline
110&19\\\hline
100&33\\\hline
90&30\\\hline
75&15\\\hline
65&9\\\hline
50&2\\\hline
\end{tabular}

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