During a recent semester at University X, 25 students enrolled in an e

Question

During a recent semester at University X, 25 students enrolled in an economics class. Each student was enrolled in the university’s 4-year business program and took the course either as a traditional student (attending class and sitting for exams in person) or as an online student (listening to lectures and taking exams via computer), but not both. For each student, the table indicates whether he or she took the course online, along with his or her year in the program and scores on Exam 1, Exam 2, and the final exam. The final score was computed as a weighted mean of the scores on Exam 1, Exam 2, and the final exam, using the same weights for each student.

Student surname  
  Online
student?
(Y/N)  
  Year
in
program  
  Exam 1
score  
  Exam 2
score  
  Final
exam
score  
  Final
score  
 
  Abusuba 
 Y 
 2 
 89 
 87 
 85 
 86.5 
 
  Ardanin 
 N 
 1 
 85 
 83 
 84 
 84 
 
  Bar-Yaacov 
 Y 
 1 
 65 
 70 
 68 
 67.75 
 
  Benson 
 Y 
 1 
 77 
 80 
 75 
 76.75 
 
  Dedeoglu 
 N 
 2 
 90 
 96 
 95 
 94 
 
  Derezinski 
 Y 
 3 
 85 
 84 
 81 
 83.25 
 
  Garcia 
 Y 
 2 
 90 
 87 
 86 
 87.25 
 
  Hernandez 
 N 
 2 
 72 
 74 
 75 
 74 
 
  Jeyaretnam 
 Y 
 2 
 77 
 76 
 78 
 77.25 
 
  Lindt 
 Y 
 3 
 87 
 81 
 81 
 82.75 
 
  Mladek 
 N 
 4 
 64 
 75 
 76 
 72.75 
 
  Nguyen 
 N 
 3 
 70 
 74 
 72 
 72 
 
  Orlando 
 N 
 2 
 81 
 84 
 80 
 81.5 
 
  Pai 
 N 
 2 
 75 
 78 
 72 
 74.25 
 
  Parasarathy 
 N 
 2 
 88 
 91 
 95 
 92.25 
 
  Radzinsky 
 Y 
 3 
 91 
 95 
 100 
 96.5 
 
  Russell 
 N 
 4 
 51 
 69 
 72 
 66 
 
  Sweets 
 N 
 2 
 66 
 76 
 74 
 72.5 
 
  Sykes 
 N 
 3 
 51 
 69 
 73 
 66.5 
 
  Tachau 
 N 
 2 
 91 
 93 
 92 
 92 
 
  Tsosie 
 N 
 2 
 84 
 87 
 85 
 85.25 
 
  Underhill 
 N 
 1 
 77 
 75 
 71 
 73.5 
 
  Vladimirov 
 Y 
 3 
 69 
 75 
 74 
 73 
 
  Washburn 
 N 
 2 
 85 
 83 
 82 
 83 
 
  Zervos 
 N 
 2 
 95 
 97 
 98 
 97

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

GMATCoachBen · Answer

1) If the scores are "weighted equally", then the Final Score must be equal to the average of Exam 1, Exam 2, and the Final Exam. Let's check the first row of the table: https://gmatclub.com/forum/download/file.php?id=88710 (89 + 87 + 85) / 3 = 87 . (Speed tip: this is an evenly spaced set, so median = average. The average must equal the median, 87, so we don't actually need to do the calculation above.) 87 does not equal the final score of 86.5 , so our answer is No . 2) First, sort the table for online students. We see there are 9 online students, so the median will be the 5th from the highest or lowest value, in the final column: https://gmatclub.com/forum/download/file.php?id=88711 82.75 is the 5th from the top or the bottom, so our answer is Yes . 3) First, we sort for "year 1" students: https://gmatclub.com/forum/download/file.php?id=88712 The range of Exam 1 scores is 85 - 65 = 20 The range of Final Exam scores is 84 - 68 = 16 20 > 16, so our answer is Yes . GMAT-Club-Forum-7dis5fyn.png GMAT-Club-Forum-q61tvlxt.png GMAT-Club-Forum-o6uznhvc.png

TheAdmissionHub · Answer

Statement 1

If the scores are weighted equally, the final score should be the arithmetic mean of the 3 scores.

Let’s check, for example, the first row (Abusuba):  \frac{(89+87+85)}{3}= 87

However, the final score reported in the table is  86.5 , so the scores are not equally weighted.

Answer:  No

Statement 2

Let’s sort the “Online student?” column and consider only the values for students marked as online. There are 9 online students, so the median will be the 5th value in the ordered list, which is  82.75 .

Answer:  Yes

Statement 3

Let’s order the column “Year in program”.

“Exam 1 score” range:  85-65=20

”Final exam score” range:  84-68=16

20>16

Answer:  Yes

Yes	No
		The scores on Exam 1, Exam 2, and the final exam were weighted equally in computing the final score.
		The median final score for online students was 82.75.
		The range of year 1 students’ scores on Exam 1 was greater than the range of year 1 students’ scores on the final exam.

During a recent semester at University X, 25 students enrolled in an e

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Student surname	Online student? (Y/N)	Year in program	Exam 1 score	Exam 2 score	Final exam score	Final score
Abusuba	Y	2	89	87	85	86.5
Ardanin	N	1	85	83	84	84
Bar-Yaacov	Y	1	65	70	68	67.75
Benson	Y	1	77	80	75	76.75
Dedeoglu	N	2	90	96	95	94
Derezinski	Y	3	85	84	81	83.25
Garcia	Y	2	90	87	86	87.25
Hernandez	N	2	72	74	75	74
Jeyaretnam	Y	2	77	76	78	77.25
Lindt	Y	3	87	81	81	82.75
Mladek	N	4	64	75	76	72.75
Nguyen	N	3	70	74	72	72
Orlando	N	2	81	84	80	81.5
Pai	N	2	75	78	72	74.25
Parasarathy	N	2	88	91	95	92.25
Radzinsky	Y	3	91	95	100	96.5
Russell	N	4	51	69	72	66
Sweets	N	2	66	76	74	72.5
Sykes	N	3	51	69	73	66.5
Tachau	N	2	91	93	92	92
Tsosie	N	2	84	87	85	85.25
Underhill	N	1	77	75	71	73.5
Vladimirov	Y	3	69	75	74	73
Washburn	N	2	85	83	82	83
Zervos	N	2	95	97	98	97

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