
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 serves as a demonstration school for "garbage classification." In order to understand the knowledge of garbage classification among seventh and eighth grade students (each grade has 650 students), the school held a garbage classification knowledge competition. The competition analyzed the scores (out of 100) of 20 randomly selected students from each grade as follows:  
Seventh grade: 89, 95, 85, 92, 85, 86, 97, 80, 85, 100, 85, 89, 91, 83, 85, 90, 94, 69, 93, 87.  
Eighth grade: 100, 91, 97, 92, 82, 91, 100, 93, 87, 93, 90, 91, 84, 91, 72, 87, 92, 90, 80, 57.  
Organize data: Analyze data:  

|           | 50≤x≤59 | 60≤x≤69 | 70≤x≤79 | 80≤x≤89 | 90≤x≤100 |
|-----------|---------|---------|---------|---------|----------|
| Seventh grade | 0       | 1       | 0       | a       | 8        |
| Eighth grade  | 1       | 0       | 1       | 5       | 13       |

Apply data:  

|           | Average | Mode | Median |
|-----------|---------|------|--------|
| Seventh grade | 88      | 85   | b      |
| Eighth grade  | 88      | c    | 91     |

(1) Fill in the blanks in the table above: a=______, b=______, c=______.  
(2) Estimate how many students from both seventh and eighth grades scored above 95 in this competition.  
(3) In your opinion, which grade of students has a better overall level of understanding of classical culture knowledge? Please explain your reasoning.

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