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# what is the mode in these 2 scenarios:

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Manager
Joined: 28 Apr 2016
Posts: 87
what is the mode in these 2 scenarios:  [#permalink]

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20 Jul 2017, 19:22
Hi,

I was wondering what the mode be in the following scenarios:

1. No number repeats, as in {1, 2, 3, 4, 5, 6}
is the answer = 'NO MODE' or 'zero'?

2. More than one number has the same frequency, as in {1, 1, 2, 2, 3, 4, 5, 6}
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Joined: 02 Sep 2009
Posts: 55230
Re: what is the mode in these 2 scenarios:  [#permalink]

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20 Jul 2017, 20:34
ameyaprabhu wrote:
Hi,

I was wondering what the mode be in the following scenarios:

1. No number repeats, as in {1, 2, 3, 4, 5, 6}
is the answer = 'NO MODE' or 'zero'?

2. More than one number has the same frequency, as in {1, 1, 2, 2, 3, 4, 5, 6}

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 2 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.

Thus:

{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.

Hope it helps.
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Joined: 02 Sep 2009
Posts: 55230
Re: what is the mode in these 2 scenarios:  [#permalink]

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20 Jul 2017, 20:34
1
Bunuel wrote:
ameyaprabhu wrote:
Hi,

I was wondering what the mode be in the following scenarios:

1. No number repeats, as in {1, 2, 3, 4, 5, 6}
is the answer = 'NO MODE' or 'zero'?

2. More than one number has the same frequency, as in {1, 1, 2, 2, 3, 4, 5, 6}

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 2 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.

Thus:

{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.

Hope it helps.

[textarea]

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Joined: 20 Jul 2016
Posts: 6
Re: what is the mode in these 2 scenarios:  [#permalink]

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20 Jul 2017, 20:39
1
1. If all the numbers on the list are different then then is no mode for that list. so 'No Mode'
2. 1 and 2 are the modes are they are frequently repeated numbers in the list
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Joined: 05 Feb 2017
Posts: 39
what is the mode in these 2 scenarios:  [#permalink]

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20 Jul 2017, 20:47
1
In case 1 there is no mode because the set has equal frequency of each element.

In case 2 1 and 2 both are modes since they both have equal frequency and also their frequency is higher than others.

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what is the mode in these 2 scenarios:   [#permalink] 20 Jul 2017, 20:47
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