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What is the value of median of the numbers 1, 10, 11, 11, 22, 22, 35,

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What is the value of median of the numbers 1, 10, 11, 11, 22, 22, 35,  [#permalink]

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New post 22 Jan 2015, 07:29
1
1
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A
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D
E

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  35% (medium)

Question Stats:

75% (01:28) correct 25% (01:19) wrong based on 131 sessions

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What is the value of median of the numbers 1, 10, 11, 11, 22, 22, 35, 47, and n?

(1) 11 < n < 22

(2) The set has two modes: 11 and 22.

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Re: What is the value of median of the numbers 1, 10, 11, 11, 22, 22, 35,  [#permalink]

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New post 22 Jan 2015, 08:25
1
Considering option 1

If 11<n<22

we can clearly say that the median is n ..But n can be any value from 12 to 21

now if we look into the second option it says the set has 2 modes 11 and 22 So all we can say is n is not 11 or 22

it may b n <11 ( other than 1 and 10) or 11<n<22 or n >22 (other than 35)

So we will b having 3 different medians in this case

hence no option is sufficient in this case to answer the question :)

Bunuel Correct me If Im wrong

Answer should be E


Bunuel wrote:
What is the value of median of the numbers 1, 10, 11, 11, 22, 22, 35, 47, and n?

(1) 11 < n < 22

(2) The set has two modes: 11 and 22.

Kudos for a correct solution.
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Re: What is the value of median of the numbers 1, 10, 11, 11, 22, 22, 35,  [#permalink]

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New post 22 Jan 2015, 18:42
Answer: A

Statement 1 states that the series in ascending order is 1, 10, 11, 11, n, 22, 22, 35, 47
The median here is n. Sufficient

Statement 2 states that n is not equal to any other number in the series. This means there may be 3 instances, n <11 ( other than 1 and 10) or 11<n<22 or n >22 (other than 35 and 47).
So there will be 3 different values of median.
Hence insufficient
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Re: What is the value of median of the numbers 1, 10, 11, 11, 22, 22, 35,  [#permalink]

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New post 22 Jan 2015, 22:07
1
E for me

Stmnt 1 says n can be anything . n can be 11.1 or 21.9 .... NO UNIQUE VALUE. Hence not sufficient

Stmnt 2- Clearly insufficient

Combine - Insufficient

OA pls? Ill be surprised if "E" is wrong
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Re: What is the value of median of the numbers 1, 10, 11, 11, 22, 22, 35,  [#permalink]

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New post 26 Jan 2015, 04:15
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Re: What is the value of median of the numbers 1, 10, 11, 11, 22, 22, 35,  [#permalink]

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New post 20 May 2017, 19:57
What is the value of median of the numbers 1, 10, 11, 11, 22, 22, 35, 47, and n?

(1) 11 < n < 22

(2) The set has two modes: 11 and 22.

In a what question in DS - we need a unique answer and that too an answer which not in variable form but a numeric value .

In this question since the number of terms are odd . The median will be the middle value that is the fifth term .

St 1 : n can have multiple values between 11 and 22 . Therefore the 5th term could be 12 , 13, ..upto 21 . Hence not Sufficient
St 2 : Set has two modes means , they appear maximum number of times in this series of number .
But we have only one value for n . But it is given 11 , 22 are two modes . So n cannot be 11 and 12 . And it can be any other value other than 11 and 22 . Hence not sufficient .

together 1 and 2
N can be 12 , 13, ..upto 21 .
Hence the ans is E .


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Re: What is the value of median of the numbers 1, 10, 11, 11, 22, 22, 35, &nbs [#permalink] 20 May 2017, 19:57
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