
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 individuals in a population are sorted from smallest to largest as follows: 2, 3, 3, 7, a, b, 12, 13.7, 18.3, 20, and the median of the population is 10.5. To minimize the variance of the population, the values of a and b should be a=______, b=______.

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