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Difficulty:
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72% (00:45) correct
28%
(00:55)
wrong
based on 101
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Is 500 the average (arithmetic mean) score on the GMAT?
(1) Half of the people who take the GMAT score above 500 and half of the people score below 500.
(2) The highest GMAT score is 800 and the lowest score is 200
_________________
(1) Half of the people who take the GMAT score above 500 and half of the people score below 500.
(2) The highest GMAT score is 800 and the lowest score is 200
_________________
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Is 500 the average (arithmetic mean) score on the GMAT?
(1) Half of the people who take the GMAT score above 500 and half of the people score below 500.
If half of the people get more than 500 and half less than 500, we cannot clearly tell exactly what the mean will be.
For GMAT scores, 450 470 530 550 we will have arithmetic mean of 500
But 450 470 520 540 will have mean lower than 500. Hence insufficient.
(2) The highest GMAT score is 800 and the lowest score is 200.
If the highest and lowest scores is 200 and 800, there may be a score like 600 in between.
The average of these 3 scores is not 500, whereas
if that score in between was 500, then we would get an average score of 500.
Hence, insufficient.
On combining we can't clearly tell that the average is definitely equal to 500
Consider 200 300 700 800, which has average of 500.
But 200 200 700 800, has average lesser than 500. This however satisfies both the conditions. Hence, insufficient.(Option E)
(1) Half of the people who take the GMAT score above 500 and half of the people score below 500.
If half of the people get more than 500 and half less than 500, we cannot clearly tell exactly what the mean will be.
For GMAT scores, 450 470 530 550 we will have arithmetic mean of 500
But 450 470 520 540 will have mean lower than 500. Hence insufficient.
(2) The highest GMAT score is 800 and the lowest score is 200.
If the highest and lowest scores is 200 and 800, there may be a score like 600 in between.
The average of these 3 scores is not 500, whereas
if that score in between was 500, then we would get an average score of 500.
Hence, insufficient.
On combining we can't clearly tell that the average is definitely equal to 500
Consider 200 300 700 800, which has average of 500.
But 200 200 700 800, has average lesser than 500. This however satisfies both the conditions. Hence, insufficient.(Option E)
Statement 1: Half of the people who take the GMAT score above 500 and half of the people score below 500.
Let's suppose number of students who take GMAT = 4
so possible sets are
200 , 300, 520 , 540 : Average = 390 : Answer to question is No
200 , 300, 750 , 750 : Average = 500 : Answer to question is Yes
Statement 1 by itself is not sufficient
Statement 2: The highest GMAT score is 800 and the lowest score is 200
Let's suppose number of students who take GMAT = 4
so possible sets are
200 , 300, 520 , 800 : Average = 475 : Answer to question is No
200 , 500, 500 , 800 : Average = 500 : Answer to question is Yes
Statement 2 by itself is not sufficient
combining 1 + 2
200 , 480 , 520 , 800 : Average = 500 : Answer to question is Yes
200 , 480 , 620 , 800 : Average = 525 : Answer to question is No
Hence E
Let's suppose number of students who take GMAT = 4
so possible sets are
200 , 300, 520 , 540 : Average = 390 : Answer to question is No
200 , 300, 750 , 750 : Average = 500 : Answer to question is Yes
Statement 1 by itself is not sufficient
Statement 2: The highest GMAT score is 800 and the lowest score is 200
Let's suppose number of students who take GMAT = 4
so possible sets are
200 , 300, 520 , 800 : Average = 475 : Answer to question is No
200 , 500, 500 , 800 : Average = 500 : Answer to question is Yes
Statement 2 by itself is not sufficient
combining 1 + 2
200 , 480 , 520 , 800 : Average = 500 : Answer to question is Yes
200 , 480 , 620 , 800 : Average = 525 : Answer to question is No
Hence E
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(1) equal score above or below mean reveals mean not the frequency of people
(2) Range of a sample does not reveal mean of the sample
Hence E
Sent from my iPhone using GMAT Club Forum
(2) Range of a sample does not reveal mean of the sample
Hence E
Sent from my iPhone using GMAT Club Forum
As most of the people have pointed out, right answer should be option E since we are not being asked to find the average of 200 and 800 but the average of scores in that range and due to this, it becomes a question of weighted average.
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