A technology company enrolled 20 employees in a professional training

Question

A technology company enrolled 20 employees in a professional training course. Each employee completed the course either remotely or in person, but not both, and worked in one of four departments. For each employee, the table shows the course format, department, scores on a Knowledge Test, Case Analysis, and Simulation Exercise, and the Overall Score. The Overall Score was computed as a weighted mean of the three assessment scores, using the same weights for every employee.

Employee  
  Remote?   (Y/N)  
  Department  
  Knowledge   Test  
  Case   Analysis  
  Simulation   Exercise  
  Overall   Score  
 
  Adams 
 N 
 Finance 
 70 
 70 
 70 
 70.0 
 
  Baker 
 Y 
 Operations 
 80 
 70 
 79 
 76.5 
 
  Chen 
 N 
 Marketing 
 70 
 80 
 70 
 73.0 
 
  Diaz 
 N 
 HR 
 70 
 70 
 80 
 75.0 
 
  Evans 
 Y 
 Operations 
 88 
 90 
 86 
 87.6 
 
  Foster 
 N 
 HR 
 65 
 72 
 70 
 69.6 
 
  Gupta 
 Y 
 Marketing 
 92 
 95 
 91 
 92.4 
 
  Harris 
 N 
 Operations 
 81 
 84 
 83 
 82.9 
 
  Ito 
 Y 
 Finance 
 69 
 74 
 72 
 72.0 
 
  Jones 
 N 
 Marketing 
 76 
 80 
 79 
 78.7 
 
  Khan 
 Y 
 Operations 
 95 
 92 
 96 
 94.6 
 
  Lopez 
 N 
 HR 
 58 
 66 
 64 
 63.4 
 
  Morgan 
 Y 
 Marketing 
 71 
 75 
 74 
 73.7 
 
  Nolan 
 N 
 Operations 
 87 
 89 
 91 
 89.6 
 
  Owens 
 Y 
 Operations 
 80 
 83 
 82 
 81.9 
 
  Patel 
 Y 
 Finance 
 90 
 86 
 85 
 86.3 
 
  Quinn 
 Y 
 HR 
 67 
 70 
 70 
 69.4 
 
  Reed 
 N 
 Marketing 
 82 
 85 
 84 
 83.9 
 
  Singh 
 Y 
 Operations 
 74 
 78 
 76 
 76.2 
 
  Turner 
 N 
 Operations 
 93 
 91 
 89 
 90.4

For each of the following statements, select  Yes  if the statement is true based on the information provided. Otherwise, select  No .

Bunuel · Accepted Answer

A technology company enrolled 20 employees in a professional training course. Each employee completed the course either remotely or in person, but not both, and worked in one of four departments. For each employee, the table shows the course format, department, scores on a Knowledge Test, Case Analysis, and Simulation Exercise, and the Overall Score. The Overall Score was computed as a weighted mean of the three assessment scores, using the same weights for every employee.

Employee  
  Remote?   (Y/N)  
  Department  
  Knowledge   Test  
  Case   Analysis  
  Simulation   Exercise  
  Overall   Score  
 
  Adams 
 N 
 Finance 
 70 
 70 
 70 
 70.0 
 
  Baker 
 Y 
 Operations 
 80 
 70 
 79 
 76.5 
 
  Chen 
 N 
 Marketing 
 70 
 80 
 70 
 73.0 
 
  Diaz 
 N 
 HR 
 70 
 70 
 80 
 75.0 
 
  Evans 
 Y 
 Operations 
 88 
 90 
 86 
 87.6 
 
  Foster 
 N 
 HR 
 65 
 72 
 70 
 69.6 
 
  Gupta 
 Y 
 Marketing 
 92 
 95 
 91 
 92.4 
 
  Harris 
 N 
 Operations 
 81 
 84 
 83 
 82.9 
 
  Ito 
 Y 
 Finance 
 69 
 74 
 72 
 72.0 
 
  Jones 
 N 
 Marketing 
 76 
 80 
 79 
 78.7 
 
  Khan 
 Y 
 Operations 
 95 
 92 
 96 
 94.6 
 
  Lopez 
 N 
 HR 
 58 
 66 
 64 
 63.4 
 
  Morgan 
 Y 
 Marketing 
 71 
 75 
 74 
 73.7 
 
  Nolan 
 N 
 Operations 
 87 
 89 
 91 
 89.6 
 
  Owens 
 Y 
 Operations 
 80 
 83 
 82 
 81.9 
 
  Patel 
 Y 
 Finance 
 90 
 86 
 85 
 86.3 
 
  Quinn 
 Y 
 HR 
 67 
 70 
 70 
 69.4 
 
  Reed 
 N 
 Marketing 
 82 
 85 
 84 
 83.9 
 
  Singh 
 Y 
 Operations 
 74 
 78 
 76 
 76.2 
 
  Turner 
 N 
 Operations 
 93 
 91 
 89 
 90.4

For each of the following statements, select  Yes  if the statement is true based on the information provided. Otherwise, select  No .

Official Solution:

• The weight assigned to the Case Analysis was 1.5 times the weight assigned to the Knowledge Test.

Compare Adams, Chen, and Diaz.

Adams scored 70 on all three assessments and had an Overall Score of 70.

Chen's Case Analysis score is 10 points higher than Adams's, while the other two assessment scores are the same. Chen's Overall Score is 3 points higher. Therefore, the weight of the Case Analysis is:

3/10 = 0.30

Diaz's Simulation Exercise score is 10 points higher than Adams's, while the other two assessment scores are the same. Diaz's Overall Score is 5 points higher. Therefore, the weight of the Simulation Exercise is:

5/10 = 0.50

Since the three weights must add to 1, the weight of the Knowledge Test is:

1 - 0.30 - 0.50 = 0.20

Thus:

0.30/0.20 = 1.5

Therefore, the Case Analysis was assigned 1.5 times the weight of the Knowledge Test.

Answer:  Yes .

• Among employees who completed the course remotely, Knowledge Test scores and Simulation Exercise scores were positively correlated.

A positive correlation means that as one variable increases, the other  generally tends to  increase as well.

Sort the table by the “Knowledge Test” column from lowest to highest and consider only the employees marked “Y” in the “Remote?” column.

Their Knowledge Test and Simulation Exercise scores are:

67 and 70
69 and 72
71 and 74
74 and 76
80 and 79
80 and 82
88 and 86
90 and 85
92 and 91
95 and 96

As the Knowledge Test scores increase, the Simulation Exercise scores  generally tend to  increase as well. There is a small exception between scores of 88 and 90, but the overall pattern is clearly upward.

Therefore, the two scores are  positively correlated  among remote employees.

Answer:  Yes .

• The range of Overall Scores among employees who completed the course remotely was greater than the range among employees who completed the course in person.

Sort the table by the “Remote?” column and compare the highest and lowest Overall Scores in each group.

For remote employees:

Highest = 94.6
Lowest = 69.4

Range = 94.6 - 69.4 = 25.2

For employees who completed the course in person:

Highest = 90.4
Lowest = 63.4

Range = 90.4 - 63.4 = 27.0

Since 25.2 is less than 27.0, the range among remote employees was not greater than the range among employees who completed the course in person.

Answer:  No .

officiisnobis · Answer

1. YES
2. YES
3. NO

zitipiti · Answer

yes
yes 
no

dhart · Answer

Yes ,  
  No ,Yes

Yes , the options must be Yes , Yes and No.

okokasdf · Answer

1. yes - need to create 3 eqns for this
2 yes - sort and see that both scores increase
3 no - sort and find range

xiaojanejane · Answer

1. Yes
By comparing Adams and Quinn, the Knowledge Test is 20% (3 points = 0.6 total). By comparing Adams and Chen, the Case Analysis weight is 30% (10 points = 3.0 total). The ratio 30%/20% = 1.5.

2. Yes
Sorting the Remote (Y) group by Knowledge Test score shows a clear parallel decline in Simulation Exercise scores (from 95 → 96 at the top down to 67 → 70 at the bottom), indicating a clear positive correlation.

3. No
Remote(Y) Range: 94.6 - 69.4 = 25.2
In Person (N) Range: 90.4 - 63.4 = 27
The Remote range (25.2) is smaller than the In-Person range (27.0).

TreePlum · Answer

how did you calculate the first statement? I am a bit confused? why did you take only Adam AND Quinn?

abhi1592 · Answer

On sorting, Remote Status as Y, and then reviewing the trends of scores, there are certain datapoints wherein there is decrease in Knowledge Test score and corresponding increase in Simulation Exercise Score so it is not entirely positively correlated. Please clarify.

xiaojanejane · Answer

It’s a shortcut using control variables.
Adams and Quinn have the exact same scores for  Case Analysis (70)  and  Simulation Exercise (70) . The only difference is in  Knowledge Test  (70 vs 67, a 3-point gap), which resulted in a 0.6 difference in their overall scores (70.0 vs 69.4).
Since the other two components are held constant, that 0.6 overall difference comes  entirely  from the Knowledge Test.
So, w KT  = 0.6 / 3 = 0.2 (20%).
Then, compare Adams with Chen (who only differ in Case Analysis) to get  wCA = 3.0 / 10 = 0.3 (30%).
Ratio = 30% / 20% = 1.5. 
Hope this helps!

xiaojanejane · Answer

In statistics, a  positive correlation  only requires a  general trend , not every single data point to increase strictly without exception.
Local fluctuations are completely normal. Since top Knowledge Test scores generally align with top Simulation Exercise scores (95 → 96) and lowest with lowest (67 → 70), the overall trend is positive.

A technology company enrolled 20 employees in a professional training

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Employee	Remote? (Y/N)	Department	Knowledge Test	Case Analysis	Simulation Exercise	Overall Score
Adams	N	Finance	70	70	70	70.0
Baker	Y	Operations	80	70	79	76.5
Chen	N	Marketing	70	80	70	73.0
Diaz	N	HR	70	70	80	75.0
Evans	Y	Operations	88	90	86	87.6
Foster	N	HR	65	72	70	69.6
Gupta	Y	Marketing	92	95	91	92.4
Harris	N	Operations	81	84	83	82.9
Ito	Y	Finance	69	74	72	72.0
Jones	N	Marketing	76	80	79	78.7
Khan	Y	Operations	95	92	96	94.6
Lopez	N	HR	58	66	64	63.4
Morgan	Y	Marketing	71	75	74	73.7
Nolan	N	Operations	87	89	91	89.6
Owens	Y	Operations	80	83	82	81.9
Patel	Y	Finance	90	86	85	86.3
Quinn	Y	HR	67	70	70	69.4
Reed	N	Marketing	82	85	84	83.9
Singh	Y	Operations	74	78	76	76.2
Turner	N	Operations	93	91	89	90.4

Yes	No
		The weight assigned to the Case Analysis was 1.5 times the weight assigned to the Knowledge Test.
		Among employees who completed the course remotely, Knowledge Test scores and Simulation Exercise scores were positively correlated.
		The range of Overall Scores among employees who completed the course remotely was greater than the range among employees who completed the course in person.

GMAT Graphs and Tables (G&T) Questions

A technology company enrolled 20 employees in a professional training

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