- D In 2008, executive employees made approximately $3,300 per week. In
2008, managerial employees made approximately $1,750 per week. However,
there were more managerial employees than executive employees in 2008.
To solve for the average weekly wage of the two groups combined, set up a
weighted average, where the weight of managerial employees is approximately
3
5 and the weight of executive employees is approximately
2
5.
managerial + executive
↓ ↓
$1,750(^35 ) + $3,300(^25 )
↓
$2,370
Finally, to get the yearly average, multiply this value by 52: (2,370)(52) =
$123,240.
- D and E In 2008, managerial and executive employees had average weekly
wages above $1,500. Thus the probability of choosing an employee with such
a weekly wage is at least 34 + 24 100 = 10058 =^2950. Eliminate choices A, B, and C.
However, it is possible that some of the employees in the “Other” category also
had weekly wages above $1,500. Thus it is possible for the probability to be
above^2950. Since^1725 >^2950 , E is an answer as well. - D If 22% of the 2,000 employees in 2008 were clerical, then there were
0.22(2,000) = 440 clerical employees. The average weekly wage for each of
these employees was approximately $1,000. Thus, the average yearly wage for
each of these employees was approximately $1,000 × 52 = $52,000. The total
yearly wage for all such employees was thus:
A × N = S
$52,000 × 440 = $22,800,000 - B Since there are 500 freshmen, the number of freshmen who take American
literature = 8%(500) = 0.08(500) = 40. Since there are 600 sophomores,
the number of sophomores who take American literature = 5%(600) =
0.05(600) = 30. 40 – 30 = 10. - C The number of freshmen who take statistics is 14% of 500 = 0.14(500) = 70.
The number of sophomores who take statistics is 10% of 600 = 0.1(600) = 60.
Now solve for the following question: 70 is what percent greater than 60?
Use the percent greater formula:
percent greater = percent of – 100%
Solve for percent of: (70/60) × 100 = 116.66%. Thus percent greater =
116.66% – 100% = 16.66%. The closest answer is C. - 449 55% of the freshmen are taking the listed classes, so 100% – 55% of the
freshmen are not taking the listed classes. Since there are 500 freshmen at the
school, the number of freshmen not taking the listed classes is 45%(500) =
0.45(500) = 225. The total number of freshmen and sophomores in the school
is 500 + 600 = 1,100. Thus, the desired ratio is 1,100^225 = 449.
CHAPTER 14 ■ DATA INTERPRETATION 461
04-GRE-Test-2018_313-462.indd 461 12/05/17 12:07 pm