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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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Joined: 02 Sep 2009
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A set of data consists of the terms {2, 8, 13, 15, x}. If the range of  [#permalink]

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11 Jul 2017, 23:48
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Difficulty:

45% (medium)

Question Stats:

62% (01:16) correct 38% (01:15) wrong based on 95 sessions

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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

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Posts: 249
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A set of data consists of the terms {2, 8, 13, 15, x}. If the range of  [#permalink]

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Updated on: 12 Jul 2017, 00:04
Bunuel wrote:
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

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.
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Originally posted by jedit on 12 Jul 2017, 00:01.
Last edited by jedit on 12 Jul 2017, 00:04, edited 1 time in total.
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A set of data consists of the terms {2, 8, 13, 15, x}. If the range of  [#permalink]

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12 Jul 2017, 00:04
1
Bunuel wrote:
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

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.

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Re: A set of data consists of the terms {2, 8, 13, 15, x}. If the range of  [#permalink]

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12 Jul 2017, 19:02
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.
Re: A set of data consists of the terms {2, 8, 13, 15, x}. If the range of   [#permalink] 12 Jul 2017, 19:02
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