
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
To understand the vision condition of students in a school, a random sampling method is used to select 5 students from each of Class A and Class B for vision testing. The data from the vision tests are as follows:  
Vision test results for 5 students in Class A: 4.3, 5.1, 4.6, 4.1, 4.9.  
Vision test results for 5 students in Class B: 5.1, 4.9, 4.0, 4.0, 4.5.  
(1) Calculate the average of the two sets of data separately. Based on the calculation results, which class has better vision?  
(2) Based on the data, which class of 5 students has a larger variance in vision? (No proof required for the conclusion)  
(3) Based on the data, infer how many students in Class A, out of 40, have vision greater than 4.6?

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