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Range of a set

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by uptowngirl92 » Wed Oct 07, 2009 3:54 pm
Is the range of a non-empty set S bigger than its mean?

a) All members of S are negative
b) The median of set S is negative
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Source: — Data Sufficiency |
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by sunnyjohn » Wed Oct 07, 2009 6:31 pm
IMO: D
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by uptowngirl92 » Wed Oct 07, 2009 6:37 pm
EXPLANATIONS please!!
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by xcusemeplz2009 » Thu Oct 08, 2009 12:51 am
uptowngirl92 wrote:EXPLANATIONS please!!
statment 1) suff as range will always be a +ve value and mean a -ve value.

range = highest value- lowest value

in a set of -ve int highest value is less than -ve of lowest value.so always +ve

mean of a set of -ve value will always be a -ve

statement2) if median is -ve than there are three possible set
1st :- the highest value is -ve
2nd:- bth highest and lowest value is -ve
range will be a +ve no.
mean will be always less than range.

if we will solve this one in no. line then it will be much easier.
It does not matter how many times you get knocked down , but how many times you get up
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by meticulousboy » Thu Oct 08, 2009 7:22 am
xcusemeplz2009 wrote:
uptowngirl92 wrote:EXPLANATIONS please!!
statment 1) suff as range will always be a +ve value and mean a -ve value.

range = highest value- lowest value

in a set of -ve int highest value is less than -ve of lowest value.so always +ve

mean of a set of -ve value will always be a -ve

statement2) if median is -ve than there are three possible set
1st :- the highest value is -ve
2nd:- bth highest and lowest value is -ve
range will be a +ve no.
mean will be always less than range.

if we will solve this one in no. line then it will be much easier.
Answer is D.

The range of a non-empty set is always >= 0.
Both, Statement 1 and 2 indicate a negative median!
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