
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
**Synthesis and Practice**  
**Scenario:** In order to implement the "double reduction" policy, promote efficient learning in class, and return students' time outside of class, a certain class in the eighth grade adopted a group learning plan where 5 students were divided into one group to stimulate students' enthusiasm for learning and cultivate habits of cooperative learning.  
**Discovery:** After a semester of learning, the midterm exam scores of two study groups in the class are shown in the table below (unit: points).

| Group       | Score 1 | Score 2 | Score 3 | Score 4 | Score 5 |
|-------------|---------|---------|---------|---------|---------|
| Group 1     | 92      | 90      | 91      | 96      | 96      |
| Group 2     | 92      | 96      | 90      | 95      | 92      |

**Exploration:** Analyzing the data as follows:

|            | Median | Mode | Mean    |
|------------|--------|------|---------|
| Group 1    | 92     | b    | 93      |
| Group 2    | a      | 92   | c       |

**Problem Solving**  
$(1)$ In the table above, $a=$______, $b=$______, $c=$______;  
$(2)$ Based on the midterm scores of the two groups, analyze which group has more stable scores.

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