BTGmoderatorDC wrote:If the range of the six numbers 4,3,14,7,10 and x is 12, what is the difference between the greatest possible value of x and least possible value of x?
(A) 0
(B) 2
(C) 12
(D) 13
(E) 15
OA D
Source: Official Guide
If we examine the KNOWN values in ascending order, we have {3, 4, 7, 10, 14}
These numbers have a range of 11 (since 14 - 3 = 11)
In order the set to have a range of 12, there are two possible values for x:
case a: x =
2, in which case the set is {
2, 3, 4, 7, 10, 14}
case b: x =
15, in which case the set is {3, 4, 7, 10, 14,
15}
So, the difference in x-values =
15 -
2 = 13
Answer: D
RELATED VIDEO
- Range and Standard Deviation:
https://www.gmatprepnow.com/module/gmat ... /video/806
Cheers,
Brent
