
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
A certain school, in order to understand the height situation of high school students, conducted a stratified random sampling with sample sizes allocated proportionally based on the ratio of male to female students. They randomly selected $100$ male students and $60$ female students and measured their heights, obtaining the following data (unit: $cm)$:<br>

| Gender | Number | Mean | Variance |
|--------|--------|------|----------|
| Male   | 100    | 172  | 18       |
| Female | 60     | 164  | 30       |

Based on the above data, the total sample variance of the high school students' heights can be calculated as $______$.

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