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Data sets X and Y each consist of 4 values, as shown in the

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Data sets X and Y each consist of 4 values, as shown in the [#permalink] New post   16 Nov 2019, 02:15
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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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E
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Data sets X and Y each consist of 4 values, as shown in the [#permalink] New post   07 Jun 2020, 04:30
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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!

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Re: Data sets X and Y each consist of 4 values, as shown in the [#permalink] New post   24 Jul 2020, 01:33
Range = Highest - Lowest
Range of data set x = 21. This means x4 - x1 = 21 or x4 = 21 + x1
Range of data set y = (5x4 + 16) - (5x1 + 16)
5x4 + 16 - 5x1 - 16
put value of x4
5(21+x1) + 16 - 5x1 - 16
Solve it and you will get 105 option E
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Data sets X and Y each consist of 4 values, as shown in the [#permalink] New post   26 Oct 2024, 09:08
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Range set X: x4-x1=21
Range set Y:
+(5*x4+16)
-(5*x1+16)
=5(x4-x1)
=5*21
=105 (E)

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Data sets X and Y each consist of 4 values, as shown in the [#permalink]
26 Oct 2024, 09:08
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