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If the range of the set of numbers {150,90,125,110,170,155,x
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25 Oct 2018, 09:37
25 Oct 2018, 09:37
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If the range of the set of numbers \({150,90,125,110,170,155,x,100,140}\) is 95 which of the following could be x?
A)80
B)85
C)95
D)125
E)185
src: orbit test prep
A)80
B)85
C)95
D)125
E)185
src: orbit test prep
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Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: If the range of the set of numbers {150,90,125,110,170,155,x
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26 Oct 2018, 06:52
26 Oct 2018, 06:52
1
amorphous wrote:
If the range of the set of numbers \({150,90,125,110,170,155,x,100,140}\) is 95 which of the following could be x?
A)80
B)85
C)95
D)125
E)185
src: orbit test prep
A)80
B)85
C)95
D)125
E)185
src: orbit test prep
First arrange the known values in ascending order to get: {90, 100, 110, 125, 140, 150, 155, 170}
The range of these values (without the x) = 170 - 90 = 80
We want the range to equal 95
So, EITHER x is less than 90 OR x is greater than 170
Also, since we want the range to increase from 80 to 95 (a 15-point difference), we want x to be EITHER 15 less than 90 OR 15 greater than 170
Check the answer choices....E is greater than 170
Answer: E
If we want to confirm this, just add 185 (answer choice E) to the set to get: {90, 100, 110, 125, 140, 150, 155, 170, 185}
Range = 185 - 90 = 95 WORKS!
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If the range of the set of numbers {150,90,125,110,170,155,x
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08 Jul 2021, 08:56
08 Jul 2021, 08:56
1
Theory: Range of a set is the difference between the highest and lowest value of the set. (Arrange the numbers in ascending or descending order to make the process easier)
The range of the set of numbers \({150,90,125,110,170,155,x,100,140}\) is 95
Let's arrange all the numbers except x in ascending order, we get
90, 100, 110, 125, 140, 150, 155, 170
Current range is 170 - 90 = 80
But it is given to us that Range is 95
=> Either x is smaller than 90 or greater than 170
Case 1
x is smaller than 90
So, 170 - x = range = 95
=> x = 170 - 95 = 75
Which is not an option choice so let's try case 2
Case 2
x is greater than 170
So, x - 90 = range = 95
=> x = 90 + 95 = 185
So, answer will be E
Hope it helps!
To learn more about Statistics watch the following video
The range of the set of numbers \({150,90,125,110,170,155,x,100,140}\) is 95
Let's arrange all the numbers except x in ascending order, we get
90, 100, 110, 125, 140, 150, 155, 170
Current range is 170 - 90 = 80
But it is given to us that Range is 95
=> Either x is smaller than 90 or greater than 170
Case 1
x is smaller than 90
So, 170 - x = range = 95
=> x = 170 - 95 = 75
Which is not an option choice so let's try case 2
Case 2
x is greater than 170
So, x - 90 = range = 95
=> x = 90 + 95 = 185
So, answer will be E
Hope it helps!
To learn more about Statistics watch the following video
