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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 01 Jul 2016, 16:14
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, 19:44
B

B is just definition of spaced sets where mean and median are equal
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New post 10 Dec 2016, 17:15
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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New post 20 Dec 2016, 15:40
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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New post 20 Dec 2016, 23:02
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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 22 Dec 2016, 00:15
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, 17:21
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, 05:19
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
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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 2018, 22:14
The function defines that the terms in Set R are in A.P. with common difference 3.
Statement 1.We can’t determine the median of an A.P. with just its first term and Common difference. Last term or the total no of terms is also required. Hence, Insufficient.
Statement 2. In A.P. the mean of the series is equal to the median of the series. Hence, Sufficient.
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Re: What is the median value of the set R, if for every term in   [#permalink] 21 Dec 2018, 22:14

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