
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, Professor Chang recorded the score distribution for her 100 students as shown below. Calculate the mean percentage score of the class.

\begin{tabular}{|c|c|}
\multicolumn{2}{c}{}\\\hline
\textbf{$\%$ Score}&\textbf{Number of Students}\\\hline
100&10\\\hline
90&15\\\hline
80&20\\\hline
70&30\\\hline
60&20\\\hline
50&4\\\hline
40&1\\\hline
\end{tabular}

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