Is Sarah’s mathematics test score higher than the class average?To answer this question, we need either (1) Sarah's score and the class average or (2) a way to compare the two in relative terms, such as a ratio or a difference.
(1) Sarah scored 90% on her mathematics test, answering 45 out of 50 questions correctly.This statement provides only Sarah's score and no information on the class average.
Insufficient.
(2) Sarah’s high percentage score indicates that she performed exceptionally well, with only a few questions answered incorrectly.For a statement in a Non-Math Data Sufficiency question to be sufficient, the information provided by the statement must indicate the answer to the question with certainty.
Considering this statement carefully, we see that it does not indicate with certainty whether Sarah's score was higher than the class average.
After all, the fact that her score was exceptional does not clearly mean that it was above the class average. After all, the entire class could have performed "exceptionally well" in some context, perhaps in comparison with all other classes in the school or all other students worldwide.
Insufficient.
Statements (1) and (2) combinedIn combination, the statements provide only information on Sarah's performance and no information that enables a comparison of Sarah's score and the class average.
Insufficient.
Correct answer: E