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11 Sep 2017, 00:29
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
51% (02:21) correct
49%
(02:13)
wrong
based on 350
sessions
History
Date
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Result
Not Attempted Yet
[GMAT math practice question]
I. 9/10, 10/11, 11/12, 12/13, 13/14
II. 10/9, 11/10, 12/11, 13/12, 14/13
III. 6/10, 7/10, 8/10, 9/10, 10/10
For which of the following options is the average (arithmetic mean) of the numbers less than the median of numbers?
A. I. only
B. II. only
C. III. only
D. II and III
E. I, II and III
I. 9/10, 10/11, 11/12, 12/13, 13/14
II. 10/9, 11/10, 12/11, 13/12, 14/13
III. 6/10, 7/10, 8/10, 9/10, 10/10
For which of the following options is the average (arithmetic mean) of the numbers less than the median of numbers?
A. I. only
B. II. only
C. III. only
D. II and III
E. I, II and III
13 Sep 2017, 00:16
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=>
I. Differences between consecutive terms are 10/11 – 9/10 = 1/110, 11/12 – 10/11 = 1/132, 12/13 – 11/12 = 1/156, 13/14 – 12/13 = 1/182. The differences are getting smaller. The average is smaller than the median.
II. Difference between consecutive terms are 11/10 – 10/9 = -1/90, 12/11 – 11/10 = -1/110, 13/12 – 12/11 = -1/132, 14/13 – 13/12 = -1/156. The differences are getting bigger. The average is bigger than the media.
II Difference between consecutive terms are 7/10 – 6/10 = 1/10, 8/10 – 7/10 = 1/10, 9/10 – 8/10 = 1/10, 10/10 – 9/10 = 1/10. All differences are equal. The average is equal to the median.
Ans: A
I. Differences between consecutive terms are 10/11 – 9/10 = 1/110, 11/12 – 10/11 = 1/132, 12/13 – 11/12 = 1/156, 13/14 – 12/13 = 1/182. The differences are getting smaller. The average is smaller than the median.
II. Difference between consecutive terms are 11/10 – 10/9 = -1/90, 12/11 – 11/10 = -1/110, 13/12 – 12/11 = -1/132, 14/13 – 13/12 = -1/156. The differences are getting bigger. The average is bigger than the media.
II Difference between consecutive terms are 7/10 – 6/10 = 1/10, 8/10 – 7/10 = 1/10, 9/10 – 8/10 = 1/10, 10/10 – 9/10 = 1/10. All differences are equal. The average is equal to the median.
Ans: A
General Discussion
11 Sep 2017, 03:07
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Since III has a average = median = 8/10, it can be eliminated!
Hence, Option C,D and E are wrong!
So, the answer is either Option A or Option B.
Lets consider the set - 9/10, 10/11, 11/12, 12/13, 13/14
The median is 11/12 = 0.9167
The mean is 0.9 + 0.909 + 0.916 + 0.923 + 0.929 = 4.57/5 = approximately 0.9154
Here, the average is lesser than the median(Option A)
Hence, Option C,D and E are wrong!
So, the answer is either Option A or Option B.
Lets consider the set - 9/10, 10/11, 11/12, 12/13, 13/14
The median is 11/12 = 0.9167
The mean is 0.9 + 0.909 + 0.916 + 0.923 + 0.929 = 4.57/5 = approximately 0.9154
Here, the average is lesser than the median(Option A)
