
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
Determine the smallest possible total number of measurements, $N$, for a frequency distribution given by:
\[\begin{tabular}{c c}
\text{measured value}&\text{percent frequency}\\ 
\hline 
A & 20\\ 
B & 37.5\\ 
C & 25\\ 
D & 12.5\\ 
E & 5\\ 
\hline
\ & 100\\ 
\end{tabular}\]

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