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# Mode of set A = {1,2,3,4} ?

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Intern
Joined: 04 Jan 2018
Posts: 20
Location: India
Concentration: Marketing, Entrepreneurship
GMAT 1: 700 Q49 V36
GPA: 3.54
WE: Information Technology (Insurance)
Mode of set A = {1,2,3,4} ?  [#permalink]

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02 Sep 2018, 02:59
I know that the mode of a set is the value having highest frequency.

Mode of {1,2,2,3} = 2
Mode of {1,2,2,3,3,4} = 2 and 3

But, what is the mode of A = {1,2,3,4}. All the values occur only once. Are all the values modes or there is no mode of that set?

Some textbooks say set A has no mode as no values occurs more than once. But, does that concept hold true for GMAT Quant?

Sent from my Moto G (5) Plus using GMAT Club Forum mobile app
Math Expert
Joined: 02 Sep 2009
Posts: 58453
Re: Mode of set A = {1,2,3,4} ?  [#permalink]

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02 Sep 2018, 03:08
I know that the mode of a set is the value having highest frequency.

Mode of {1,2,2,3} = 2
Mode of {1,2,2,3,3,4} = 2 and 3

But, what is the mode of A = {1,2,3,4}. All the values occur only once. Are all the values modes or there is no mode of that set?

Some textbooks say set A has no mode as no values occurs more than once. But, does that concept hold true for GMAT Quant?

Sent from my Moto G (5) Plus using GMAT Club Forum mobile app

MODE
The mode is the number that occurs the most frequently in a data set. For example mode of the set {2, 3, 4, 4} is 4.

Set can have more than one mode, for example set {2, 2, 3, 3, 5} has two modes 2 and 3.

If every number in the set occurs an equal number of times, then the set has no mode. For example set {1, 2, 3} has no mode.

For example:

{1, 2, 4, 8, 8, 8, 9, 10, 10, 10, 11} - has two modes 8 and 10;

{1, 2, 3, 4, 5, 6} - has no mode, since every number in the set occurs an equal number of times;

{2, 2, 4, 4, 6, 6} - has no mode, since every number in the set occurs an equal number of times.
_________________
Intern
Joined: 04 Jan 2018
Posts: 20
Location: India
Concentration: Marketing, Entrepreneurship
GMAT 1: 700 Q49 V36
GPA: 3.54
WE: Information Technology (Insurance)
Re: Mode of set A = {1,2,3,4} ?  [#permalink]

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02 Sep 2018, 03:13
Bunuel wrote:
I know that the mode of a set is the value having highest frequency.

Mode of {1,2,2,3} = 2
Mode of {1,2,2,3,3,4} = 2 and 3

But, what is the mode of A = {1,2,3,4}. All the values occur only once. Are all the values modes or there is no mode of that set?

Some textbooks say set A has no mode as no values occurs more than once. But, does that concept hold true for GMAT Quant?

Sent from my Moto G (5) Plus using GMAT Club Forum mobile app

MODE
The mode is the number that occurs the most frequently in a data set. For example mode of the set {2, 3, 4, 4} is 4.

Set can have more than one mode, for example set {2, 2, 3, 3, 5} has two modes 2 and 3.

If every number in the set occurs an equal number of times, then the set has no mode. For example set {1, 2, 3} has no mode.

For example:

{1, 2, 4, 8, 8, 8, 9, 10, 10, 10, 11} - has two modes 8 and 10;

{1, 2, 3, 4, 5, 6} - has no mode, since every number in the set occurs an equal number of times;

{2, 2, 4, 4, 6, 6} - has no mode, since every number in the set occurs an equal number of times.
Thanks Bunuel for the answer in detail. If there is a calculation which depends on the value of mode of a set that has no mode then what value of mode should be considered for such a calculation?

Sent from my Moto G (5) Plus using GMAT Club Forum mobile app
Math Expert
Joined: 02 Sep 2009
Posts: 58453
Re: Mode of set A = {1,2,3,4} ?  [#permalink]

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02 Sep 2018, 03:20
Bunuel wrote:
I know that the mode of a set is the value having highest frequency.

Mode of {1,2,2,3} = 2
Mode of {1,2,2,3,3,4} = 2 and 3

But, what is the mode of A = {1,2,3,4}. All the values occur only once. Are all the values modes or there is no mode of that set?

Some textbooks say set A has no mode as no values occurs more than once. But, does that concept hold true for GMAT Quant?

Sent from my Moto G (5) Plus using GMAT Club Forum mobile app

MODE
The mode is the number that occurs the most frequently in a data set. For example mode of the set {2, 3, 4, 4} is 4.

Set can have more than one mode, for example set {2, 2, 3, 3, 5} has two modes 2 and 3.

If every number in the set occurs an equal number of times, then the set has no mode. For example set {1, 2, 3} has no mode.

For example:

{1, 2, 4, 8, 8, 8, 9, 10, 10, 10, 11} - has two modes 8 and 10;

{1, 2, 3, 4, 5, 6} - has no mode, since every number in the set occurs an equal number of times;

{2, 2, 4, 4, 6, 6} - has no mode, since every number in the set occurs an equal number of times.
Thanks Bunuel for the answer in detail. If there is a calculation which depends on the value of mode of a set that has no mode then what value of mode should be considered for such a calculation?

Sent from my Moto G (5) Plus using GMAT Club Forum mobile app

GMAT will not ask you a to calculate a mode in DS or PS, if the set does not have the mode.
_________________
Intern
Joined: 04 Jan 2018
Posts: 20
Location: India
Concentration: Marketing, Entrepreneurship
GMAT 1: 700 Q49 V36
GPA: 3.54
WE: Information Technology (Insurance)
Re: Mode of set A = {1,2,3,4} ?  [#permalink]

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03 Sep 2018, 10:10
Thanks a lot Bunuel. You saved me from dilemma.

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Re: Mode of set A = {1,2,3,4} ?   [#permalink] 03 Sep 2018, 10:10
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