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19 May 2017, 00:17
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A
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Difficulty:
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a,b,c,d,e
For the list of numbers above there is exactly one mode. Is the range of the list greater than the mode of the list?
(1) At least one of the numbers in the list is negative.
(2) At least one of the numbers in the list is zero.
For the list of numbers above there is exactly one mode. Is the range of the list greater than the mode of the list?
(1) At least one of the numbers in the list is negative.
(2) At least one of the numbers in the list is zero.
19 May 2017, 05:25
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Bunuel
Hi,
First the terms..
1) Mode.... Number which occurs max time in the set
2) Median is the middle value.
3) Mean is the average of all numbers
4) Range is the difference between largest and smallest value
Let's see the statements..
(1) At least one of the numbers in the list is negative.
Even if we take the largest number to be the mode, RANGE will be "this number Minus some negative number".
Let the negative number be -a. Thus range will be = Mode-(-a)=mode+a
Say all the numbers are NEGATIVE, then the mode will be negative while range will be positive. Again range>mode..
Sufficient
(2) At least one of the numbers in the list is zero.[/quote]
Two cases ..
Mode is the largest number and smallest number is 0.. range =mode-0=mode..
If mode is any other number except the largest.. range will be more than mode..
Insuff
A
General Discussion
19 May 2017, 06:07
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A i should be
Statement 1 says that at least one of the number is -1.this means range will always be positive and greater than mode..we consider two conditions
a= -1 b= 0 c=0 d=0 e=1------> range will be 1- (-1) = 2 greater than mode
a= -10 b =-5 c=-5 d= -5 e = -1----> range will be -1 - (-10) = 9
Statement B isnt sufficient because we dont knwo how many positive and negative integers the set has...
Statement 1 says that at least one of the number is -1.this means range will always be positive and greater than mode..we consider two conditions
a= -1 b= 0 c=0 d=0 e=1------> range will be 1- (-1) = 2 greater than mode
a= -10 b =-5 c=-5 d= -5 e = -1----> range will be -1 - (-10) = 9
Statement B isnt sufficient because we dont knwo how many positive and negative integers the set has...
