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# If there are 5 positive integers in Set B and the mean is

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Manager
Joined: 05 Mar 2010
Posts: 221
Followers: 1

Kudos [?]: 28 [0], given: 8

Re: If there are 5 positive integers in Set B and the mean is [#permalink]

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21 Mar 2010, 07:04
stmt 1 - only one condition satisfies it i.e. (3,5,7,9,11)

stmt 2 - now because 7 is the mode so it should appear atleast 2 times
if we take 7 twice then (35-7*2 = 21) we are left with 3 numbers with a total of 21
, which can be (1,2,18) (1,3,17) and so on........ AND 7 will remain in the middle

if we take 7 three time then one number will always be less than 7 (35-7*3 = 14) , numbers can be (6,8) (9,5) and so on
and if we take 7 , four times then the fifth number be only 7

In all the cases the middle number be always 7. Hence, the median

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Senior Manager
Joined: 19 Nov 2009
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Kudos [?]: 83 [0], given: 44

Re: If there are 5 positive integers in Set B and the mean is [#permalink]

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21 Mar 2010, 12:29
A.

5 integes in the set with mean as 7 --> sum = 35

1. Consecutive and odd inetgers --> only one possible solution {3,5,7,9,11} , hence, sufficient.

Answer is either A or D.

2. mode is 7 --> {7,7,7,7,7} , {5,7,7,7,9}, etc. --> insufficient.

Hence, A.
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Joined: 21 Mar 2010
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Kudos [?]: 0 [0], given: 0

Re: If there are 5 positive integers in Set B and the mean is [#permalink]

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21 Mar 2010, 17:23
D

[color=#804080]Summary: The mode of a set of data is the value in the set that occurs most often. A set of data can be bimodal. It is also possible to have a set of data with no mode. [/color]
Re: If there are 5 positive integers in Set B and the mean is   [#permalink] 21 Mar 2010, 17:23

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