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The graph below shows few students distribution of quiz scores a teac
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18 Dec 2023, 01:03
18 Dec 2023, 01:03
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The graph below shows few students’ distribution of quiz scores a teacher recorded for a quiz consisting of 10 questions. Each question was worth one point.
GRE quiz.jpg [ 33.34 KiB | Viewed 630 times ]
After recording the scores and knowing that question number ‘2’ was incorrect, the teacher decided to give full credit for question number ‘2’ to every student.
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Attachment:
GRE quiz.jpg [ 33.34 KiB | Viewed 630 times ]
After recording the scores and knowing that question number ‘2’ was incorrect, the teacher decided to give full credit for question number ‘2’ to every student.
Quantity A |
Quantity B |
The new mean quiz score of thestudents, considering score forquestion number ‘2’ |
7 |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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Free Materials for the GRE General Exam - Where to get it!!
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Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
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Re: The graph below shows few students distribution of quiz scores a teac
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18 Dec 2023, 22:37
18 Dec 2023, 22:37
3
The mean quiz score = total sum of the quiz scores / number of students. According to the graph, we find there are 25 students.
Add up the total sum of the quiz scores (prior to the credit given for the incorrect question):
3*2+4*1+5*4+6*3+7*5+8*5+9*3+10*2 = 170
The part about "question number 2" isn't necessary, since regardless of the question number, each student will be given 1 single point additionally to the scores represented in the graph. Therefore, you can add 25*1 points to the total sum for the new total sum, then divide by 25 to find the new mean.
(170+25)/25 = 7.8
Since 7.8 > 7, the new mean quiz score is greater than 7.
Add up the total sum of the quiz scores (prior to the credit given for the incorrect question):
3*2+4*1+5*4+6*3+7*5+8*5+9*3+10*2 = 170
The part about "question number 2" isn't necessary, since regardless of the question number, each student will be given 1 single point additionally to the scores represented in the graph. Therefore, you can add 25*1 points to the total sum for the new total sum, then divide by 25 to find the new mean.
(170+25)/25 = 7.8
Since 7.8 > 7, the new mean quiz score is greater than 7.
gmatclubot
Re: The graph below shows few students distribution of quiz scores a teac [#permalink]
18 Dec 2023, 22:37
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