14. A, B, and C
Choice A: Solve for the maximum and minimum within each of the
columns. The greatest number of freshmen taking a listed course is
0.14(500) = 70. The least number of freshmen taking a listed course is
0.03(500) = 15. The range for the number of freshmen in a listed course is
thus 70 – 15 = 55. The greatest number of sophomores taking a listed course
is 0.1(600) = 60. The least number of sophomores taking a listed course is
0.05(600) = 30. The range for the number of sophomores in a listed course is
thus 60 – 30 = 30. The range for the freshmen is thus greater than the range
for the sophomores. → Choice A is true.
Choice B: Compare the spreads of the two sets. Though you can calculate
the standard deviation of each set, you should instead pay attention to how
dispersed the numbers are. For freshmen, the numbers in increasing order
are (0.03)500, (0.03)500, (0.07)500, (0.08)500, (0.08)500, (0.12)500, (0.14)500
= 15,15,35,40,40,60,70. For sophomores, the percentages in increasing
order are (0.05)600, (0.05)600, (0.06)600, (0.06)600, (0.07)600, (0.09)600,
(0.10)600 = 30, 30, 36, 36, 42, 54, 60. The spread for the number of freshmen
is greater. → Choice B is true.
Choice C: Calculate the median for each set. To calculate the median
number of students in a listed course for freshmen, first list the percentages
in increasing order: 3, 3, 7, 8, 8, 12, 14. The median is thus 8% of 500 = 40.
To calculate the median number of students in a listed course for
sophomores, first list the percentages in increasing order: 5, 5, 6, 6, 7, 9, 10.
The median is thus 6% of 600 = 36. 40 > 36. → Choice C is true.462 PART 4 ■ MATH REVIEW04-GRE-Test-2018_313-462.indd 462 12/05/17 12:07 pm