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
a) All members of S are negative
b) The median of set S is negative
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Range of a set
Source: Beat The GMAT — Data Sufficiency |
statment 1) suff as range will always be a +ve value and mean a -ve value.uptowngirl92 wrote:EXPLANATIONS please!!
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
Answer is D.xcusemeplz2009 wrote:statment 1) suff as range will always be a +ve value and mean a -ve value.uptowngirl92 wrote:EXPLANATIONS please!!
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.
The range of a non-empty set is always >= 0.
Both, Statement 1 and 2 indicate a negative median!
