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Bunuel
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Data sets X and Y each consist of 4 values, as shown in the table. If 23 Jun 2022, 20:00
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E
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88% (01:07) correct 12% (01:45) wrong based on 58 sessions

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Data sets X and Y each consist of 4 values, as shown in the table. If the range of data set X is 21, what is the range of data set Y?

A. 0

B. 37

C. 84

D. 100

E. 105

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Data sets X and Y each consist of 4 values, as shown in the table. If 23 Jun 2022, 20:36
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This question is like functions.
And again notion of GMAT statistics is required.
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Data sets X and Y each consist of 4 values, as shown in the table. If 23 Jun 2022, 21:46
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[quote="Bunuel"]
GIven: Data sets X and Y each consist of 4 values, as shown in the table.
Asked: If the range of data set X is 21, what is the range of data set Y?

Let us suppose x1, y1 are lowest values and x4, y4 are highest values.

Range of data set X = (x4 -x1) = 21
Range of data set Y = (5x4 + 16) - (5x1+16) = 5(x4-x1) = 5*21 = 105

IMO E
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Data sets X and Y each consist of 4 values, as shown in the table. If 29 Sep 2023, 23:01
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Values of Data Set Y = (Values of Data Set X * 5) + 16

Range = Highest Value - Lowest Value

So, Range of Set Y = Highest Value of Set Y - Lowest Value of Set Y
= Highest Value of Set X*5 + 16 - ( Lowest Value of Set X*5 + 16 )
= Highest Value of Set X*5 + 16 - Lowest Value of Set X*5 - 16
= Highest Value of Set X*5 - Lowest Value of Set X*5
= 5 * (Highest Value of Set X- Lowest Value of Set X)
= 5 * Range of Set X = 5*21 = 105

So, Answer will be E
Hope it helps!

Watch the following video to Learn the Basics of Statistics

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Data sets X and Y each consist of 4 values, as shown in the table. If 05 Oct 2023, 15:08
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Bunuel

Data sets X and Y each consist of 4 values, as shown in the table. If the range of data set X is 21, what is the range of data set Y?

A. 0
B. 37
C. 84
D. 100
E. 105
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Range of {x₁, x₂, x₃, x₄} = 21

If each item in a data set is multiplied by the same positive constant, then the range of the new data set will be equal to the old range multiplied by the same constant.

Range of {5x₁, 5x₂, 5x₃, 5x₄} = 5(Range of {x₁, x₂, x₃, x₄}) = 5(21) = 105

If the same constant is added to each item in a data set, then the range of the new data set will be equal to the old range.

Range of {5x₁+16, 5x₂+16, 5x₃+16, 5x₄+16} = Range of {5x₁, 5x₂, 5x₃, 5x₄} = 105

Answer: E
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