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Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  The set of numbers 2, 3, 5, 9, 11, x is in increasing order. If the av

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Math Expert V
Joined: 02 Sep 2009
Posts: 58458
The set of numbers 2, 3, 5, 9, 11, x is in increasing order. If the av  [#permalink]

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Difficulty:   25% (medium)

Question Stats: 87% (01:09) correct 13% (01:02) wrong based on 23 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

_________________
Manager  S
Joined: 24 Dec 2017
Posts: 185
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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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  D
Joined: 31 Oct 2013
Posts: 1464
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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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.

A is the correct answer.
GMAT Club Legend  D
Joined: 18 Aug 2017
Posts: 5017
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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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 Re: The set of numbers 2, 3, 5, 9, 11, x is in increasing order. If the av   [#permalink] 21 Jan 2019, 08:09
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