Understanding the Dance Data Sufficiency Question

The question asks us to determine, based on the given statements, who is the better dancer between X and Y. This is a data sufficiency problem where we need to figure out if each statement alone, or both statements together, provide enough information to definitively answer the core question: who is the better dancer?

Let's analyze each statement provided in the question:

• Statement 1: X had given more dance auditions.
• Statement 2: Y had given more dance performances than X.

Analyzing Statement 1: More Auditions

Statement 1 tells us that X has given more dance auditions than Y. What does giving more auditions imply about being a better dancer?

• Giving many auditions might mean someone is actively seeking work.
• It could also mean they are not getting selected easily, hence needing to audition more often.
• It provides no direct information about their skill level, technique, stage presence, or the quality of their dancing compared to Y.

Therefore, knowing that X gave more dance auditions does not tell us whether X is a better dancer than Y. Statement 1 alone is insufficient to answer the question.

Analyzing Statement 2: More Performances

Statement 2 states that Y had given more dance performances than X. What does giving more dance performances suggest about being a better dancer?

• Giving more performances often indicates that a dancer is being hired more frequently.
• This higher demand usually correlates with a higher level of skill, professionalism, or perceived quality by directors and choreographers.
• While it's not an absolute guarantee (e.g., someone might perform more but in smaller roles), in the context of data sufficiency, performing more is typically considered a strong indicator of success and being a more established or potentially 'better' dancer in the professional world.

Based on this interpretation, Statement 2 provides a strong basis to infer that Y is likely considered the better dancer because they are performing more often. Thus, Statement 2 alone is sufficient to answer the question.

Conclusion on Data Sufficiency for Better Dancer

Comparing the sufficiency of the two statements:

• Statement 1 (more auditions) is insufficient because the number of auditions doesn't directly measure dance quality or success in getting work.
• Statement 2 (more performances) is sufficient because the number of performances is generally a reliable indicator of a dancer's professional success and demand, implying a higher level of skill or being 'better' in a practical sense.

Therefore, only Statement 2 alone is sufficient to answer the question "Between X and Y who is the better dancer?".

Revision Table: Dance Performance vs Auditions

Additional Information: Data Sufficiency Concepts

Data sufficiency questions test your ability to determine if the given information is adequate to answer a question, not necessarily to find the answer itself. Here are key concepts:

• Analyze the Question: Understand exactly what information is needed to answer the question.
• Analyze Statement 1 Alone: Assume Statement 1 is true and see if you can definitively answer the question using only this information. Ignore Statement 2.
• Analyze Statement 2 Alone: Assume Statement 2 is true and see if you can definitively answer the question using only this information. Ignore Statement 1.
• Analyze Both Statements Together: If neither statement alone is sufficient, consider if both statements combined provide enough information.
• Evaluate Options: Choose the option that matches your findings about the sufficiency of the statements.

In this specific data sufficiency question about the better dancer, we found that Statement 2 alone provides enough information based on common interpretations of professional dance success.