
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 student calculates the average of $50$ scores and erroneously includes this average twice into the list of scores, thus considering $52$ scores in total. The student then computes the average of these $52$ scores. Determine the ratio of this final average to the original true average.
**A)** $1:1$  
**B)** $50:52$  
**C)** $52:50$  
**D)** $2:1$  
**E)** None of these

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