Difficult# Mean and Median - Comparison Question

GRE-QBTM6D

Directions: Compare Quantity A and Quantity B (given below), using additional information centered above the two quantities if such information is given, and select one of the following four answer choices:

(A) Quantity A is greater.

(B) Quantity B is greater.

(C) The two quantities are equal.

(D) The relationship cannot be determined from the information given.

Bobby has earned the following seven test scores this semester in his science class: $$63, 81, 92, 83, 71, 75, \text{and } 68$$

**Quantity A**: The lowest possible grade he needs on the next test in order for his mean semester grade to be at least a $75$.

**Quantity B**: The grade he needs on the next test in order for his median grade for the semester to be exactly a $73$.