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

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Joined: 04 Jan 2018
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Mode of set A = {1,2,3,4} ?  [#permalink]

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New post 02 Sep 2018, 01:59
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
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Joined: 02 Sep 2009
Posts: 50712
Re: Mode of set A = {1,2,3,4} ?  [#permalink]

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New post 02 Sep 2018, 02:08
bhaskarm 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.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
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Re: Mode of set A = {1,2,3,4} ?  [#permalink]

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New post 02 Sep 2018, 02:13
Bunuel wrote:
bhaskarm 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
User avatar
V
Joined: 02 Sep 2009
Posts: 50712
Re: Mode of set A = {1,2,3,4} ?  [#permalink]

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New post 02 Sep 2018, 02:20
bhaskarm wrote:
Bunuel wrote:
bhaskarm 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.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Intern
Intern
avatar
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Joined: 04 Jan 2018
Posts: 20
Re: Mode of set A = {1,2,3,4} ?  [#permalink]

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New post 03 Sep 2018, 09:10
Thanks a lot Bunuel. You saved me from dilemma.

Sent from my Moto G (5) Plus using GMAT Club Forum mobile app
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Re: Mode of set A = {1,2,3,4} ? &nbs [#permalink] 03 Sep 2018, 09:10
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Mode of set A = {1,2,3,4} ?

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