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What is the mean of the series of 5 integers that satisfies the follow

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Joined: 25 Dec 2018
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What is the mean of the series of 5 integers that satisfies the follow  [#permalink]

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New post 05 Mar 2019, 23:27
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A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

71% (02:18) correct 29% (03:37) wrong based on 7 sessions

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What is the mean of the series of 5 integers that satisfies the following conditions?

I. Mode of the series is 11
II. The arithmetic mean of the largest term and second largest term is 21
III. Median of the series is 16

A) 11
B) 11.6
C) 16
D) 17
E) 21
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Re: What is the mean of the series of 5 integers that satisfies the follow  [#permalink]

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New post 06 Mar 2019, 00:05
mangamma wrote:
What is the mean of the series of 5 integers that satisfies the following conditions?

I. Mode of the series is 11
II. The arithmetic mean of the largest term and second largest term is 21
III. Median of the series is 16

A) 11
B) 11.6
C) 16
D) 17
E) 21


Let the five integers are: Mode, Mode, Median, second largest, Largest. (In ascending order)

Now, applying given conditions:

Set:- {11, 11, 16, 42-largest, largest}. (as per(II), largest+second largest=42)

Now mean of the above set= \(\frac{11+11+16+42-largest+largest}{5}\)=\(\frac{80}{5}=16\)

Ans. (C)
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Re: What is the mean of the series of 5 integers that satisfies the follow   [#permalink] 06 Mar 2019, 00:05
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