
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 certain high school, there are 300 freshmen students, including 180 boys and 120 girls. In order to understand the height information of the freshmen students, a stratified random sampling method is used to select samples according to the proportion of the sample size. It is found that the average height of the boys' sample is $\overline{x}=170$ (unit: $cm$) with a variance of ${s}_{1}^{2}=14$, and the average height of the girls' sample is $\overline{y}=160$ (unit: $cm$) with a variance of ${s}_{2}^{2}=24$. Based on the above data, estimate the average height and variance of the freshmen students in this high school.

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