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ritula
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If the median of a non empty set S is negative then how does 10 Nov 2008, 17:29
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If the median of a non empty set S is negative then how does it mean that the range of the set is bigger than the largest no?can sum1 cite any example?



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icandy
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If the median of a non empty set S is negative then how does 10 Nov 2008, 17:49
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ritula
If the median of a non empty set S is negative then how does it mean that the range of the set is bigger than the largest no?can sum1 cite any example?
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median is -ve means, all numbers to the left hand side are lesser than the median. What this means is they will have a negative sign and high numeric value compared to the median. All the numbers on to the right hand side are greater than the median. This means they will have a -ve sign and will have less numeric value than the median or just simply have a positive value. Now for the range, subtracting a -ve number from a +ve number will give a positive number, which is greater than the positive number itself. Similarly subtracting a large -ve number from a small -ve number will also give a +ve number, which is greater than any -ve number

Ex 1: { -8, -7 , -5 , 1, 2 } range is 2 - (-8) = 10

Ex 2: { -8, -7 , -5 , -1, -2 } range is -2- (-8) = 6

HTH
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ritula
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If the median of a non empty set S is negative then how does 10 Nov 2008, 18:02
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yes thanks for the nice explanation
+1 frm me
icandy
ritula
If the median of a non empty set S is negative then how does it mean that the range of the set is bigger than the largest no?can sum1 cite any example?

median is -ve means, all numbers to the left hand side are lesser than the median. What this means is they will have a negative sign and high numeric value compared to the median. All the numbers on to the right hand side are greater than the median. This means they will have a -ve sign and will have less numeric value than the median or just simply have a positive value. Now for the range, subtracting a -ve number from a +ve number will give a positive number, which is greater than the positive number itself. Similarly subtracting a large -ve number from a small -ve number will also give a +ve number, which is greater than any -ve number

Ex 1: { -8, -7 , -5 , 1, 2 } range is 2 - (-8) = 10

Ex 2: { -8, -7 , -5 , -1, -2 } range is -2- (-8) = 6

HTH
Show more



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Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!