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26 Feb 2024, 02:30
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Difficulty:
65%
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Question Stats:
56% (01:39) correct
44%
(01:46)
wrong
based on 96
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Justin took a test of French at school and scored 72 marks out of 100. If there were 20 students who appeared for the test, within how many standard deviations from the mean did Justin’s score lie?
(1) Darren and Matthew scored 70 and 75 respectively and their scores were within one standard deviation from the mean.
(2) The mean score of 20 students was 65 and Andrew who scored 59 was within one standard deviation of the mean.
(1) Darren and Matthew scored 70 and 75 respectively and their scores were within one standard deviation from the mean.
(2) The mean score of 20 students was 65 and Andrew who scored 59 was within one standard deviation of the mean.
26 Feb 2024, 04:41
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Statement 1 gives scores of two students which are within one deviation from mean. Since 72 lies between 70 and 72 so it should lie within one SD from mean. A is sufficient
Statement 2 does not give enough information so cannot conclude. 2 is insuffucient.
A
Statement 2 does not give enough information so cannot conclude. 2 is insuffucient.
A
27 Feb 2024, 00:13
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IMO (A)
(1) Darren and Matthew scored 70 and 75 respectively and their scores were within one standard deviation from the mean.
If 70 and 75 lies on side of mean i.e. right or left to mean then defnately 72 will lie within one standard deviation.
Even if 70 and 75 lie within opposite side of mean, then 72 lie within one standard devation of mean.
Hence sufficient
(2) The mean score of 20 students was 65 and Andrew who scored 59 was within one standard deviation of the mean.
If 59 is on the extreme left then standard devation is close to 6 then 72 lie ouside one standard devation,
if 59 lie exactly middle of left side then standard devation is close to 12, then 72 lie within one standard devation. Hence insufficient
GMAT-Club-Forum-2fvw7rq8.png [ 16.18 KiB | Viewed 139 times ]
(1) Darren and Matthew scored 70 and 75 respectively and their scores were within one standard deviation from the mean.
If 70 and 75 lies on side of mean i.e. right or left to mean then defnately 72 will lie within one standard deviation.
Even if 70 and 75 lie within opposite side of mean, then 72 lie within one standard devation of mean.
Hence sufficient
(2) The mean score of 20 students was 65 and Andrew who scored 59 was within one standard deviation of the mean.
If 59 is on the extreme left then standard devation is close to 6 then 72 lie ouside one standard devation,
if 59 lie exactly middle of left side then standard devation is close to 12, then 72 lie within one standard devation. Hence insufficient
Attachment:
GMAT-Club-Forum-2fvw7rq8.png [ 16.18 KiB | Viewed 139 times ]
