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If the list of numbers above has exactly one mode, which of the follow

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If the list of numbers above has exactly one mode, which of the follow  [#permalink]

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New post 19 May 2017, 00:18
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A
B
C
D
E

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Question Stats:

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Re: If the list of numbers above has exactly one mode, which of the follow  [#permalink]

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New post 19 May 2017, 00:31
Bunuel wrote:
1, 1, 3, 3, 4, 5, x, y, z

If the list of numbers above has exactly one mode, which of the following could be that mode?

I. 1
II. 4
III. x

A. I only
B. III only
C. I and III only
D. I, II, and III
E. None of the above


D . If any of the x,y,z is 1 and the other two are none of the mentioned numbers the mode is 1.
if two of the x,y,z is 4 and the thrd is anything but 1/3 the mode is 4.
if x=y=z then mode is x
So D. Correct me if I am wrong
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Re: If the list of numbers above has exactly one mode, which of the follow  [#permalink]

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New post 19 May 2017, 06:34
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Bunuel wrote:
1, 1, 3, 3, 4, 5, x, y, z

If the list of numbers above has exactly one mode, which of the following could be that mode?

I. 1
II. 4
III. x

A. I only
B. III only
C. I and III only
D. I, II, and III
E. None of the above


Given: 1, 1, 3, 3, 4, 5, x, y, z

If x = y = z = 1, the set becomes 1, 1, 3, 3, 4, 5, 1, 1, 1, and the mode is 1
So, statement I is possible

If x = y = z = 4, the set becomes 1, 1, 3, 3, 4, 5, 4, 4, 4, and the mode is 4
So, statement II is possible

If x = y = z = 9, the set becomes 1, 1, 3, 3, 4, 5, 9, 9, 9, and the mode is 9, which is the same as saying the mode is x
So, statement III is possible

Answer:

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Re: If the list of numbers above has exactly one mode, which of the follow  [#permalink]

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New post 22 May 2017, 18:53
1
Bunuel wrote:
1, 1, 3, 3, 4, 5, x, y, z

If the list of numbers above has exactly one mode, which of the following could be that mode?

I. 1
II. 4
III. x

A. I only
B. III only
C. I and III only
D. I, II, and III
E. None of the above


Let’s analyze each Roman numeral to determine which could be the mode.

I. 1

If x, y, and z are 1, then 1 could be the mode.

II. 4

If x, y, and z are 4, 4 could be the mode.

III. x

If y = x and z = x, then x could also be the mode.

Answer: D
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Re: If the list of numbers above has exactly one mode, which of the follow  [#permalink]

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New post 02 Jul 2017, 07:26
Bunuel wrote:
1, 1, 3, 3, 4, 5, x, y, z

If the list of numbers above has exactly one mode, which of the following could be that mode?

I. 1
II. 4
III. x

A. I only
B. III only
C. I and III only
D. I, II, and III
E. None of the above


How can x=y=z here? I understand it is not mentioned explicitly that they are different. Is this sufficient to assume they could equal?
I mean if x, y, and z are different then only "1" can be the mode if any one of x,y,z is 1 (or mode=3 if any one of x,y,z is 3)
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Re: If the list of numbers above has exactly one mode, which of the follow  [#permalink]

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New post 02 Jul 2017, 20:57
AkshayKS21 wrote:
Bunuel wrote:
1, 1, 3, 3, 4, 5, x, y, z

If the list of numbers above has exactly one mode, which of the following could be that mode?

I. 1
II. 4
III. x

A. I only
B. III only
C. I and III only
D. I, II, and III
E. None of the above


How can x=y=z here? I understand it is not mentioned explicitly that they are different. Is this sufficient to assume they could equal?
I mean if x, y, and z are different then only "1" can be the mode if any one of x,y,z is 1 (or mode=3 if any one of x,y,z is 3)
:roll:


Unless it is explicitly stated otherwise, different variables CAN represent the same number.
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Re: If the list of numbers above has exactly one mode, which of the follow   [#permalink] 02 Jul 2017, 20:57
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If the list of numbers above has exactly one mode, which of the follow

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