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# Consider 11 distinct integers whose median is 90 and range is 60.

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Senior Manager
Joined: 29 Nov 2018
Posts: 280
Concentration: Marketing, Strategy
Consider 11 distinct integers whose median is 90 and range is 60.  [#permalink]

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19 Jan 2019, 08:23
1
00:00

Difficulty:

35% (medium)

Question Stats:

72% (02:39) correct 28% (03:07) wrong based on 19 sessions

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Consider 11 distinct integers whose median is 90 and range is 60. The median for the five smallest integers is 65. What is the maximum range for the five largest integers?

A.12
B.24
C.32
D.40
E.45
Director
Joined: 09 Mar 2018
Posts: 994
Location: India
Re: Consider 11 distinct integers whose median is 90 and range is 60.  [#permalink]

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19 Jan 2019, 08:34
cfc198 wrote:
Consider 11 distinct integers whose median is 90 and range is 60. The median for the five smallest integers is 65. What is the maximum range for the five largest integers?

A.12
B.24
C.32
D.40
E.45

Do avoid careless mistakes

a b c d e f g h i j k - Represent 11 distinct integers

Given 11+1 /2 = 6th term= 90, f = 90 & Range => k - a = 60
c = 65

What is the maximum range for the five largest integers, we will minimize g
g = 91 and k = 123

a = 63 and k = 123, this satisfies 123 - 63 = 60

Range = 123 - 91 = 32

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Re: Consider 11 distinct integers whose median is 90 and range is 60.   [#permalink] 19 Jan 2019, 08:34
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