Total salary
number of students^
↓
$34,000(910) + $53,000(1,533)
910 + 1,533
= 112,189,0002,433
= $ 4 6,111
The closest answer is E.- D The sector area for humanities and arts represents 19% of the total circle.
Thus the central angle = 19% (360) = 68.4. - A Before doing the calculations, try to eyeball the figure.
Choice A: Other than the humanities and arts, all of the average salaries
are near or above $40,000. Since humanities and arts graduates make up
only 19% of the entire population of graduates, their relative weight is not
enough to bring the total average below $40,000. → Choice A is true.
Choice B: Each of the bars provides an average. Since numerical values
cannot be inferred from an average, the actual range for the starting salary
of any of the concentrations cannot be determined. → Eliminate Choice B.
Choice C: The same reasoning that applied to Choice B applies to Choice
C. Since you do not know the actual salaries in either set, you cannot
determine the median of either set or how the medians compare.
→ Eliminate Choice C. - C To make the number of students in each concentration equal, their
percentages must be equal. Let x represent the percentage of students that
leave the Natural Science concentration and enroll in the mathematics and
engineering concentration. Thus
32 – x = 22 + x
10 = 2x
5 = x
Thus 5% of the total students would have to switch. 5% of 4,792 ≈ 240. - D To solve for percent increase, use the percent change formula:
new – original
original × 100. To determine the average hourly wage for executives in 2009,
divide the weekly wage by the number of hours worked each week: $3,250/60.
To determine the average hourly wage for executives in 2012, divide the weekly
wage by the number of hours worked each week: $3,500/60. Substitute these
values into the percent change formula:
3,500
60 –
3,250
60
3,250
60× 100 ≈ 7%
460 PART 4 ■ MATH REVIEW04-GRE-Test-2018_313-462.indd 460 12/05/17 12:07 pm