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# Is 3 the average of a sequence? (1) There are 3 numbers in the sequenc

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Math Expert
Joined: 02 Sep 2009
Posts: 58320
Is 3 the average of a sequence? (1) There are 3 numbers in the sequenc  [#permalink]

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31 Jan 2019, 00:16
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Difficulty:

25% (medium)

Question Stats:

77% (00:30) correct 23% (00:28) wrong based on 29 sessions

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Is 3 the average of a sequence?

(1) There are 3 numbers in the sequence

(2) The mode of the sequence is 3

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Joined: 19 Jan 2017
Posts: 20
Re: Is 3 the average of a sequence? (1) There are 3 numbers in the sequenc  [#permalink]

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31 Jan 2019, 01:08
Statement 1: Any combination can satisfy. Not Sufficient.

Statement 2: implies 3 shows up the most in the sequence of numbers. Not Sufficient.

Combined: Could be 3,3,3 or 3,3,2 etc. Not Sufficient.

E

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Re: Is 3 the average of a sequence? (1) There are 3 numbers in the sequenc  [#permalink]

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31 Jan 2019, 04:07
Bunuel wrote:
Is 3 the average of a sequence?

(1) There are 3 numbers in the sequence

(2) The mode of the sequence is 3

#1
3 nos in sequence so it can be 3,3,3 , 2,3,4 , 111, or any no.
not sufficient
#2
mode is 3
3,3,3, or 1,3,3 , not sufficeint

from 1& 2
not sufficient
IMO E
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Re: Is 3 the average of a sequence? (1) There are 3 numbers in the sequenc  [#permalink]

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31 Jan 2019, 04:59
Bunuel wrote:
Is 3 the average of a sequence?

(1) There are 3 numbers in the sequence

(2) The mode of the sequence is 3

Question: Is 3 average of the sequence?

Statement 1: There are 3 numbers in the sequence

We have no numeric value of any one of those 3 terms and neither do we know any relationship among the terms in sequence hence

NOT SUFFICIENT

Statement 2: The mode of the sequence is 3
i.e. 3 is most frequent terms of the sequence but it doesn't ensure whether 3 is the average or not hence
NOT SUFFICIENT

Combining the two statements

Since we have three terms and 3 is the mode therefore Median of the set will also become 3 but we still can't comment about the Mean of the terms hence

NOT SUFFICIENT

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Re: Is 3 the average of a sequence? (1) There are 3 numbers in the sequenc   [#permalink] 31 Jan 2019, 04:59
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