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# The set of numbers 2, 3, 5, 9, 11, x is in increasing order. If the av

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Math Expert
Joined: 02 Sep 2009
Posts: 53066
The set of numbers 2, 3, 5, 9, 11, x is in increasing order. If the av  [#permalink]

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20 Jan 2019, 23:47
00:00

Difficulty:

25% (medium)

Question Stats:

92% (01:10) correct 8% (01:29) wrong based on 21 sessions

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The set of numbers 2, 3, 5, 9, 11, x is in increasing order. If the average of the set equals the median, what is x?

A 12
B 14
C 15
D 30
E 42

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Manager
Joined: 24 Dec 2017
Posts: 182
Location: India
Concentration: Strategy, Real Estate
Schools: Johnson '21
The set of numbers 2, 3, 5, 9, 11, x is in increasing order. If the av  [#permalink]

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21 Jan 2019, 00:03
Set = {2,3,5,9,11,x}

Avg = Median

Median =$$\frac{5+9}{2}$$ = $$\frac{14}{2}$$ = 7

Therefore Avg = 7

To find Avg

= $$\frac{2+3+5+9+11+x}{6}$$ = 7
= $$\frac{30+x}{6}$$= 7
= 30+x= 42
= x = 42-30
= x = 12

Hence IMO A
##### General Discussion
VP
Joined: 31 Oct 2013
Posts: 1162
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: The set of numbers 2, 3, 5, 9, 11, x is in increasing order. If the av  [#permalink]

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21 Jan 2019, 03:41
Bunuel wrote:
The set of numbers 2, 3, 5, 9, 11, x is in increasing order. If the average of the set equals the median, what is x?

A 12
B 14
C 15
D 30
E 42

median = average

median = 9 + 5 / 2 = 14 /2 = 7.

Average = 7.

Total number of elements in the set = 6.

Total = 7*6 = 42.

2 + 3 + 5 + 9 + 11 + x = 42

x = 12.

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Joined: 18 Aug 2017
Posts: 1928
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: The set of numbers 2, 3, 5, 9, 11, x is in increasing order. If the av  [#permalink]

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21 Jan 2019, 07:09
Bunuel wrote:
The set of numbers 2, 3, 5, 9, 11, x is in increasing order. If the average of the set equals the median, what is x?

A 12
B 14
C 15
D 30
E 42

total sum = 30+x
median = (5+9)/2 = 7
avg
(30+x) / 6 = 7

solve for x = 12
IMO A
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Re: The set of numbers 2, 3, 5, 9, 11, x is in increasing order. If the av   [#permalink] 21 Jan 2019, 07:09
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