
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
Given that the values of all individuals in a population are arranged in ascending order as $2$, $3$, $3$, $7$, $a$, $b$, $12$, $13.7$, $18.3$, $21$, and the median of the population is $10$. In order to make the variance of the population minimum, find the value of $ab$.

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