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What is the median value of the set R, if for every term in

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Re: What is the median value of the set R, if for every term in [#permalink]

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New post 18 Jan 2016, 22:34
rochak22 wrote:
What is the median value of the set R, if for every term in the set, Rn = Rn–1 + 3?

(1) The first term of set R is 15.
(2) The mean of set R is 36.


In the original question , in place of "median" if the question is about "SD" , will the answer be "C"?
Please suggest.

"What is the SD of the set R, if for every term in the set, Rn = Rn–1 + 3?"
(1) The first term of set R is 15.
(2) The mean of set R is 36

Approach -
(1) The first term of set R is 15. Insuff - Set is evenly spaced but #of terms is not know.
(2) The mean of set R is 36. Insuff - Same issue as above.

Combining the two , set becomes :
15 , ...( 18 to 33) ...36...(39 to 54)...57.
# of terms = 15
Difference between the terms and mean is know. Hence , Sufficient C.
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Re: What is the median value of the set R, if for every term in [#permalink]

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New post 01 Jul 2016, 15:14
I fell into the E trap thinking that you have to know the number of terms in the set. Even given both statements, its unknown how many numbers there are in the set. From statement B, I thought if it is even, then you can median = mean but thought that if there is an odd amount of terms then you wouldn't be able to deduce median = mean. Guess I was proven wrong by VeritasPrepKarishma
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Re: What is the median value of the set R, if for every term in [#permalink]

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New post 01 Jul 2016, 18:44
B

B is just definition of spaced sets where mean and median are equal
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Re: What is the median value of the set R, if for every term in [#permalink]

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New post 10 Dec 2016, 16:15
The sequence increases by 3, meaning it is evenly spaced. When sequences are evenly space the mean ALWAYS equals the median.

1) The beginning does not help without the number of terms.
2) Exactly what we need per the description above.

B
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Re: What is the median value of the set R, if for every term in [#permalink]

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New post 20 Dec 2016, 14:40
What is the median value of the set R, if for every term in the set, Rn = Rn–1 + 3?

(1) The first term of set R is 15.

(2) The mean of set R is 36.
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Re: What is the median value of the set R, if for every term in [#permalink]

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New post 20 Dec 2016, 22:02
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Re: What is the median value of the set R, if for every term in [#permalink]

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New post 21 Dec 2016, 23:15
Excellent Question.
Testing all our concepts of Evenly spaced sets.

In any evenly spaced set => Mean = Median = Average of the first and the last term.

So we basically need the mean to get the median.
Statement 1=>
No clue of the number of terms => Not sufficient

Statement 2=>
Sufficient as mean = median
Hence B

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Re: What is the median value of the set R, if for every term in [#permalink]

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New post 17 May 2017, 16:21
rochak22 wrote:
What is the median value of the set R, if for every term in the set, \(R_{n} = R_{n–1} + 3\)?

(1) The first term of set R is 15.
(2) The mean of set R is 36.


In any equally spaced set, mean = median

Answer : B
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Re: What is the median value of the set R, if for every term in [#permalink]

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New post 11 Sep 2017, 04:19
rochak22 wrote:
What is the median value of the set R, if for every term in the set, \(R_{n} = R_{n–1} + 3\)?

(1) The first term of set R is 15.
(2) The mean of set R is 36.


Because this is a consecutive all you need to know is the mean of the set

St 1

We don't know the number of terms

insuff

St 2

Mean=Median in a consecutive set- consecutive also meaning a set that increases constantly by the same number 4,8,12,16, etc

suff

B
Re: What is the median value of the set R, if for every term in   [#permalink] 11 Sep 2017, 04:19

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