Mean?

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Rajani: Junior | Next Rank: 30 Posts; Posts: 22; Joined: Thu Jul 02, 2009 9:55 pm; Thanked: 2 times

by Rajani » Tue Jul 21, 2009 1:47 am

Set B has three positive integers with a
median of 9. If the largest possible range of the
three numbers is 19, given a certain mean, what is
that mean?

1. 9
2. 9.6
3. 10
4. 22
5. 21

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Source: Beat The GMAT — Problem Solving | Tue Jul 21, 2009 1:47 am

real2008: Legendary Member; Posts: 527; Joined: Thu May 01, 2008 12:06 am; Thanked: 7 times

Re: Mean?

by real2008 » Tue Jul 21, 2009 2:03 am

Rajani wrote:Set B has three positive integers with a
median of 9. If the largest possible range of the
three numbers is 19, given a certain mean, what is
that mean?

1. 9
2. 9.6
3. 10
4. 22
5. 21

as the three nos. are positive integers least no. may be 1 but less than 9 (since median is 9) so the greatest no. lies between (1+19) and (8+19)

i.e. between 20 and 27

so the mean can lie between (1+9+20)/3 and (8+9+27)/3 (including this limiting means) i.e. 10 and 14.66

now choice C satisfies the condition.

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struggling_guy2001: Senior | Next Rank: 100 Posts; Posts: 52; Joined: Tue Jan 27, 2009 9:44 am; Thanked: 4 times

My doubt...

by struggling_guy2001 » Tue Jul 21, 2009 2:13 am

so the mean can lie between (1+9+20)/3 and (8+9+27)/3 (including this limiting means) i.e. 10 and 14.66

I agree with your statement..

can you tell me how can we proceed if we have 2 options which are in btn 10 and 14.66???

Anyone from Hyderabad or Telugu speaking community.

Searching for a serious study partner from Hyderabad or the one who work for same Company.

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tohellandback: Legendary Member; Posts: 752; Joined: Sun May 17, 2009 11:04 pm; Location: Tokyo; Thanked: 81 times; GMAT Score:680

by tohellandback » Tue Jul 21, 2009 6:43 am

if u have to find the largest range, the smallest number here has to be 1 and so the third number must be 20. avg=1+9+20/3=10

The powers of two are bloody impolite!!

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