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For which of the following values of x is the mode of 2x, x
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24 Nov 2017, 20:41
24 Nov 2017, 20:41
Expert Reply
00:00
Question Stats:
89% (01:05) correct
10% (01:15) wrong based on 19 sessions
Hide Show timer Statistics
For which of the following values of x is the mode of 2x, x + 5, 3x − 2, 5x − 7, and 4x equal to 4 ?
A. 2
B. 3
C. 4
D. 5
E. 7
A. 2
B. 3
C. 4
D. 5
E. 7
Drill 1
Question: 7
Page: 522
Question: 7
Page: 522
Re: For which of the following values of x is the mode of 2x, x
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02 Dec 2017, 10:48
02 Dec 2017, 10:48
2
sandy wrote:
For which of the following values of x is the mode of 2x, x + 5, 3x − 2, 5x − 7, and 4x equal to 4 ?
A. 2
B. 3
C. 4
D. 5
E. 7
A. 2
B. 3
C. 4
D. 5
E. 7
Drill 1
Question: 7
Page: 522
Question: 7
Page: 522
Mode means in a set of data values the value that appears most often
Now for the set 2x, x + 5, 3x − 2, 5x − 7, and 4x
Consider x= 2 , we have
4 , 9, 4, 3, 8
Consider x= 3 , we have
6, 8, 7, 8, 12
Consider x= 4 , we have
8, 9, 10, 13, 16
Consider x= 5 , we have
10, 10, 13, 22, 20
Consider x= 7 , we have
14, 12, 19, 28, 28
Thus mode is 4; when x= 2.
Re: For which of the following values of x is the mode of 2x, x
[#permalink]
10 Dec 2017, 13:14
10 Dec 2017, 13:14
1
Expert Reply
Explanation
Remember that mode means the number that appears “most often.” Plug In the Answers. For choice (C), if x = 4, then the numbers become: 8, 9, 10, 13, 16.
For a list of numbers to have a mode, there has to be at least two of one of the numbers. So this list has no mode; eliminate choice (C). For choice (A), if x = 2, then the numbers become: 4, 7, 4, 3, 8.
Because 4 appears twice, 4 is the mode—the answer is choice A.
Remember that mode means the number that appears “most often.” Plug In the Answers. For choice (C), if x = 4, then the numbers become: 8, 9, 10, 13, 16.
For a list of numbers to have a mode, there has to be at least two of one of the numbers. So this list has no mode; eliminate choice (C). For choice (A), if x = 2, then the numbers become: 4, 7, 4, 3, 8.
Because 4 appears twice, 4 is the mode—the answer is choice A.
