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The diagram above shows normally distributed data for variables P and
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26 Dec 2023, 07:20
26 Dec 2023, 07:20
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Question Stats:
64% (01:57) correct
35% (01:23) wrong based on 14 sessions
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GRE The diagram above shows normally distributed data for variables P and Q.jpg [ 18.97 KiB | Viewed 799 times ]
The diagram above shows normally distributed data for variables P and Q, where P represents the height of the students in the 7th grade, while Q represents the height of the students in the 10th grade of a public school. Which of the following must be correct?
Indicate all such statements.
(A) Q has a larger standard deviation than P.
(B) P has a larger mean than Q.
(C) Q has a larger median than P.
(D) The percent of students within one standard deviation of the mean in P is less than that in Q.
(E) No student of the 7th grade is taller than any student of the 10th grade.
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Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
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Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
Re: The diagram above shows normally distributed data for variables P and
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13 Jan 2024, 06:25
13 Jan 2024, 06:25
Expert Reply
Post A Detailed Correct Solution For these FRESH Quant & Verbal Questions And Get A Kudos
Re: The diagram above shows normally distributed data for variables P and
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09 Jun 2024, 12:33
09 Jun 2024, 12:33
Expert Reply
OE
Option A
We can see that the curve for Q is more spread out than that of P.
Since standard deviation measures the spread of the data, we can say that Q has a larger
standard deviation than P.– Correct
Option B:
The mean in a normal curve is at the point where the peak of the curve is attained.
Thus, mean for P is 5 feet while that for Q is 6 feet.
Thus, P does not have a larger mean than Q.– Incorrect
Option C:
In a normal distribution, the mean and median are the same point.
Thus, median for P is 5 feet while that for Q is 6 feet.
Thus, Q has a larger median than P.– Correct
Option D:
The percent of students within one standard deviation of the mean for any normal distribution
is always the same, 68.23%.– Incorrect
Option E:
We can see that there in an overlap between the curves for the 7th and the 10th standards.
Thus, some students of the 7th grade may be taller than some students of the 10th grade.
Incorrect.
The correct answers are options A and C.
Option A
We can see that the curve for Q is more spread out than that of P.
Since standard deviation measures the spread of the data, we can say that Q has a larger
standard deviation than P.– Correct
Option B:
The mean in a normal curve is at the point where the peak of the curve is attained.
Thus, mean for P is 5 feet while that for Q is 6 feet.
Thus, P does not have a larger mean than Q.– Incorrect
Option C:
In a normal distribution, the mean and median are the same point.
Thus, median for P is 5 feet while that for Q is 6 feet.
Thus, Q has a larger median than P.– Correct
Option D:
The percent of students within one standard deviation of the mean for any normal distribution
is always the same, 68.23%.– Incorrect
Option E:
We can see that there in an overlap between the curves for the 7th and the 10th standards.
Thus, some students of the 7th grade may be taller than some students of the 10th grade.
Incorrect.
The correct answers are options A and C.
