For the median of different five numbers to be 70:
a,b,70,c,d
as we know that median is the number in between the largest and the smallest number, when numbers are arranged in either ascending order.
its obvious that:
a<b<70<c<d
therefore c and d are the largest numbers and also greater than 70. hence 1) is sufficient.
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Gmat Prep2?/ (Different Integers)
Source: Beat The GMAT — Data Sufficiency |
Option 2, what if all the numbers are 70 in the set. The average is 70 but none of the numbers is greater than 70.
pls explain if 70 is considered greater than 70.
pls explain if 70 is considered greater than 70.
prabhu3645 If we read the question carefully it says : Five DIFFERENT numbers. So all the five numbers cannot be 70.prabhu3645 wrote:Option 2, what if all the numbers are 70 in the set. The average is 70 but none of the numbers is greater than 70.
pls explain if 70 is considered greater than 70.
dferm, its true that the answer is D each statement is sufficient.dferm wrote:THE ANSWER TO THIS QUESTION IS D...
BUT DON"T SEE HOW...
since you had chosen 2) i guessed that you know why 2nd is sufficient andso i explained why 1) is sufficient.
1) is sufficient: let the 5 no. be:
1,2,3,4,340
so the sum of these 5 no. is 350 and avg is 70
now if u take the avg of the greatest 2 no. i.e. 4 and 340 it is equal to 172 which is greater than 70.
so 1 and 2 each statement is sufficient
I guess by B you mean the statement 2.
lets take some numbers whose average is 70 as mentioned in statement 2
10,20,30,40 ,250
sum=350, avg=70
questions says is the average of the 2 greatest integers in the list greater than 70
if you take the avg of greatest 2 numbers ie. 40 & 250 then it is 145 which is greater than 70
take another set of numbers,
60,65,70,75,80
avg is 70 and sum of greatest 2 no. ie. 75 and 80 is greater than 70
this shows that if the average of 5 no. is 70 then then avg of GREATEST 2 no. would be GREATER THAN 70.
you can try this with a few set of numbers.
let me know if any doubt.
lets take some numbers whose average is 70 as mentioned in statement 2
10,20,30,40 ,250
sum=350, avg=70
questions says is the average of the 2 greatest integers in the list greater than 70
if you take the avg of greatest 2 numbers ie. 40 & 250 then it is 145 which is greater than 70
take another set of numbers,
60,65,70,75,80
avg is 70 and sum of greatest 2 no. ie. 75 and 80 is greater than 70
this shows that if the average of 5 no. is 70 then then avg of GREATEST 2 no. would be GREATER THAN 70.
you can try this with a few set of numbers.
let me know if any doubt.
