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# If the median of a non empty set S is negative then how does

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VP
Joined: 18 May 2008
Posts: 1258

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If the median of a non empty set S is negative then how does [#permalink]

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10 Nov 2008, 17:29
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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?

Kudos [?]: 527 [0], given: 0

VP
Joined: 05 Jul 2008
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10 Nov 2008, 17:49
1
KUDOS
ritula wrote:
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

Kudos [?]: 437 [1], given: 1

VP
Joined: 18 May 2008
Posts: 1258

Kudos [?]: 527 [0], given: 0

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10 Nov 2008, 18:02
yes thanks for the nice explanation
+1 frm me
icandy wrote:
ritula wrote:
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

Kudos [?]: 527 [0], given: 0

Re: Non empty set   [#permalink] 10 Nov 2008, 18:02
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