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On a particular test whose scores are distributed normally, the 2nd pe
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17 Jan 2024, 04:14
17 Jan 2024, 04:14
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On a particular test whose scores are distributed normally, the 2nd percentile is 300, while the 84th percentile is 600. What scores lie within one standard deviation of the mean?
Indicate all possible scores.
(A) 250
(B) 390
(C) 420
(D) 540
(E) 580
(F) 640
Indicate all possible scores.
(A) 250
(B) 390
(C) 420
(D) 540
(E) 580
(F) 640
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Free Materials for the GRE General Exam - Where to get it!!
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Re: On a particular test whose scores are distributed normally, the 2nd pe
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30 Jan 2024, 20:33
30 Jan 2024, 20:33
1
The answers are C, D and E.
In a normal distribution, the 2nd percentile lies 2 standard deviations below the mean/median and the 84th percentile lies 1 standard deviation above the mean. Hence, there are 3 standard deviations between 300 and 600.
1 s.d. = (600 - 300)/3 = 300/3 = 100
--> mean = 300 + 2*100 = 300 + 200 = 500
--> 1 s.d above the mean = 600 & 1 s.d. below the mean = 400.
Select all the answers within this range.
In a normal distribution, the 2nd percentile lies 2 standard deviations below the mean/median and the 84th percentile lies 1 standard deviation above the mean. Hence, there are 3 standard deviations between 300 and 600.
1 s.d. = (600 - 300)/3 = 300/3 = 100
--> mean = 300 + 2*100 = 300 + 200 = 500
--> 1 s.d above the mean = 600 & 1 s.d. below the mean = 400.
Select all the answers within this range.
gmatclubot
Re: On a particular test whose scores are distributed normally, the 2nd pe [#permalink]
30 Jan 2024, 20:33
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