
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
The first session of the 14th National People's Congress of the People's Republic of China was held in Beijing on March 5, 2023. In order to help 7th and 8th grade students understand the Two Sessions and strive to be good young people in the new era, the school organized a competition on Two Sessions knowledge with a total score of 100 points. Ten students from each of the 7th and 8th grades were randomly selected for statistical analysis, as follows:  

Collecting data:  
7th grade: $99$, $95$, $95$, $91$, $100$, $86$, $77$, $93$, $85$, $79$  
8th grade: $99$, $91$, $97$, $63$, $96$, $97$, $100$, $94$, $87$, $76$  

Organizing data:  

|          | $60 < x \leq 70$ | $70 < x \leq 80$ | $80 < x \leq 90$ | $90 < x \leq 100$ |
|----------|------------------|------------------|------------------|-------------------|
| 7th grade| $0$              | $a$              | $2$              | $6$               |
| 8th grade| $1$              | $1$              | $1$              | $7$               |

Analyzing data:  

|          | Mean | Mode | Median |
|----------|------|------|--------|
| 7th grade| $90$ | $95$ | $b$    |
| 8th grade| $90$ | $c$  | $95$   |

Applying data:  
$(1)$ Fill in the blanks in the table above: $a=$______, $b=$______, $c=$______;  
$(2)$ Which grade do you think has a higher level of understanding of the Two Sessions? Please explain your reasoning;  
$(3)$ Please write down a piece of knowledge about the Two Sessions that you know.

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