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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 $73$.

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.