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S is a set containing 9 different numbers. T is a set contai
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Updated on: 18 Jan 2014, 02:46
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S is a set containing 9 different numbers. T is a set containing 8 different numbers, all of which are members of S. which of the following statements cannot be true? A. The mean of S is equal to the mean of T B. The median of S is equal to the median of T C. The range of S is equal to the range of T D. The mean of S is greater than the mean of T E. The range of S is less than the range of T OPEN DISCUSSION OF THIS QUESTION IS HERE: sisasetcontaining9differentnumberstisasetcontai101912.html
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Originally posted by vksunder on 12 Aug 2008, 10:07.
Last edited by Bunuel on 18 Jan 2014, 02:46, edited 1 time in total.
Renamed the topic, edited the question and added the OA.



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Re: PS: Mean/Median
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12 Aug 2008, 10:30
E. Assuming a set cannot contain anything but integers. vksunder wrote: S is a set containing 9 different numbers. T is a set containing 8 different numbers, all of which are members of S. Which of the following statements CANNOT be true? \
a) The mean of S is equal to the mean of T Take {1,2,3,4,5,6,7,8,9} for Set S => Mean is 5 so for Set t, remove number 5 and you have the same mean. Take {1,2,3,4,6,7,8,9} for set T b) The median of S is equal to the median of T Again, remove number 5 and you have 4 and 6, which you need the averge of the 4th and 5th numbers, (4 and 6 respectively) for the median of set T, again median is 5 too. c) The range of S is equal to the range of T Again, if you remove any of the numbers EXCEPT for 1 and 9 to get Set T, you still have 1 and 9 ans your ends so the range is 8 on both. d) The mean of S is greater than the mean of T mean of S with 1 through 9 is 5 (9 numbers with total of 45). If you remove number 9 to make Set T, you have 8 numbers with total of 36, or an average of less than 5 (average of 5 across 8 numbers would be a total of 40, so less than that would be less than 5 average) e) The range of S is less than the range of T 1 through 9 would be a range of 8. It would be impossible to have Set T to be within Set S and set S have a smaller range than set T because that would mean Set T included numbers not in set S.
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Re: PS: Mean/Median
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12 Aug 2008, 10:38
vksunder wrote: S is a set containing 9 different numbers. T is a set containing 8 different numbers, all of which are members of S. Which of the following statements CANNOT be true? \
a) The mean of S is equal to the mean of T possible : e.g S={3,5,4} T={3,5} b) The median of S is equal to the median of T possible S={2,4,6} T={2,6} c) The range of S is equal to the range of T POSSIBLE S={ 1,2,3,4} T ={1,2,4 } d) The mean of S is greater than the mean of T POSSIBLE e) The range of S is less than the range of T Not possible E. IF T is subset of S.. then Always range of S must be equal or greather than T e.g S={ 1,2,3,4} range 3 T={1,2,3 } range 2 T ={1,2,4 } range 3
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Re: S is a set containing 9 different numbers. T is a set contai
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18 Jan 2014, 02:47
vksunder wrote: S is a set containing 9 different numbers. T is a set containing 8 different numbers, all of which are members of S. which of the following statements cannot be true?
A. The mean of S is equal to the mean of T B. The median of S is equal to the median of T C. The range of S is equal to the range of T D. The mean of S is greater than the mean of T E. The range of S is less than the range of T
The range of a set is the difference between the largest and smallest elements of a set. Consider the set S to be {4, 3, 2, 1, 0, 1, 2, 3, 4} > mean=median=0 and range=8. A. Mean of S = mean of T > remove 0 from set S, then the mean of T still would be 0; B. Median of S = Median of T > again remove 0 from set S, then the median of T still would be 0; C. Range of S = range of T > again remove 0 from set S, then the range of T still would be 8; D. Mean of S > mean of T > remove 4, then the mean of T would be negative 0.5 so less than 0; E. Range of S < range of T > the range of a subset cannot be more than the range of a whole set: how can the difference between the largest and smallest elements of a subset be more than the difference between the largest and smallest elements of a whole set. Answer: E. OPEN DISCUSSION OF THIS QUESTION IS HERE: sisasetcontaining9differentnumberstisasetcontai101912.html
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Re: S is a set containing 9 different numbers. T is a set contai
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26 Nov 2018, 09:34
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