A set of data consists of the terms {2, 8, 13, 15, x}. If the range of

Question

A set of data consists of the terms {2, 8, 13, 15, x}. If the range of the set is 2x, which of the following could be the value of x?

A. -2
B. 3.5
C. 5
D. 6.5
E. 7.5

jedit · Answer

It should be D. Range from the available numbers is  15 - 2 = 13 .

If we plug in  2x = 13 ,  x  comes out to be  6.5 .

2 times A, B and C are already smaller than the minimum range possible for the set and 7.5 is greater than the range of available values.

broall · Answer

If $2 \leq x \leq 15$, the set of data {2, 8, 13, x, 15} has range: $15-2=13=2x \implies x=6.5$. Option D.

If $x > 15$, the set of data {2, 8, 13, 15, x} has range: $x-2=2x \implies x=-2$, not correct.

If $x<2$, the set of data {x, 2, 8, 13, 15} has range: $15-x=2x \implies x=5$, not correct.

Answer D

jyotipes21@gmail.com · Answer

Range= Max value -Min Value
Use number Pick from answer choice.Start from option c. (in option c; x=5 ; range 15-2=13 and 2x=10 thus we need to go for higher value of x) Move to the higher end of option choices. pick option d. x=6.5 (2x=6.5*2=13 satisfied).

D.

BrushMyQuant · Answer

Theory: Range = Highest Value - Lowest Value (Once the set is organized in ascending / descending order)

If x was the largest number , then Range = Highest - Lowest value = x - 2 = 2x (given)
=> x = -2 -> which is not possible as we assumed x to be highest number

Lets assume x to be lowest number , then Range = Highest - Lowest value = 15 - x = 2x (given)
=> 3x = 15 => x = 3 -> which is not possible as we assumed x to be smallest number, but if x=3 then 2 becomes the smallest number

Lets assume x is between 2 and 15 , then Range = Highest - Lowest value = 15 - 2 = 2x (given)
=> 2x = 13 => x =  \frac{13}{2}  = 6.5 -> which is possible as we assumed x to be between 2 and 15

So,  Answer will be D 
Hope it helps!

Watch the following video to Learn the Basics of Statistics

https://www.youtube.com/watch?v=Cvy_HHw4KIs

SSG12 · Answer

Solution- 
Range of the available numbers = 15 - 2 =13; 
If we plug in 2x = 13
Then, x = 6.5
If we look into the options, option D looks like a perfect answer choice.

bumpbot · Answer

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A set of data consists of the terms {2, 8, 13, 15, x}. If the range of

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