Explanation

Each set in I, II, and III can be transformed into a set identical to set Y by the addition of a positive or negative constant. In other words, though each set has a different mean, the elements in each set have the same distance from the set's mean. All the sets have the same standard deviation.

**The correct choice is E.**

Remember that when answering Data Sufficency questions, you can use process of elimination to rule out answer choices. If you can eliminate either **A** or **B**, then you can also eliminate choice **D**. If either Statement I alone or Statement II alone suffices to answer the question, then you can eliminate answer choices **C** and **E.**