In the list above, if n is an integer between 1 and 10, inclusive, the

Question

2 4 6 8 n 3 5 7 9

In the list above, if n is an integer between 1 and 10, inclusive, then the median must be

A. 4 or 5
B. 5 or 6
C. 6 or 7
E. n
E. 5.5

GMATBusters · Accepted Answer

2 4 6 8 n 3 5 7 9

the number of terms is 9 (odd), hence the  median will be 5th term

Arranging all known integers in ascending order
2 3 4 5 6 7 8 9

Now, it is given that n is an integer between 1 and 10.
taking n = any integer n from 1 to 5 and arranging in the ascending list 
 5th term will be 5

taking n= any integer n from 6 to 10 and arranging in the ascending list 
 5th term will be 6

Hence, the median can only be 5 or 6

So, Answer is B

generis · Answer

Afc0892 Your method is perfect if n must equal 1 OR 10, because then the integers are consecutive and median = mean. But median eq mean if n = 2,3,4,5,6,7,8, or 9 n is an integer between 1 and 10, inclusive. If n = 2, mean = \frac{46}{9}=5.1111 If n = 7, mean = \frac{51}{9}= 5.67 Just an issue with the method (absent a mention of extremes and why they work)

Chethan92 · Answer

2+4+6+8+3+5+7+9+n = 44+n

If n is 1 then median is 45/9 = 5

If n is 10 then median is 54/9 = 6

B is the answer.

Chethan92 · Answer

Got it. Thanks

Kinshook · Answer

2 4 6 8 n 3 5 7 9

In the list above, if n is an integer between 1 and 10, inclusive, then the median must be

2 3 4 5 6 7 8 9

Case 1: n <= 5
Median = 5

Case 2: n >= 6
Median = 6

IMO B

demawtf · Answer

Hello,

I solved it visualizing the n position, without calcs. Equally spaced numbers so n+1/2 gives the position --> 9+1/2 = 5th position for both median and mean. Meaning: 
n-->1       n 2 3 4  5  6 7 8 9 
n-->10        2 3 4 5  6  7 8 9 n

demawtf · Answer

Hello,

I solved it visualizing the n position, without calcs. Equally spaced numbers so n+1/2 gives the position --> 9+1/2 = 5th position for both median and mean. Meaning: 
n-->1       n 2 3 4  5  6 7 8 9 
n-->10        2 3 4 5  6  7 8 9 n

bumpbot · Answer

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In the list above, if n is an integer between 1 and 10, inclusive, the

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In the list above, if n is an integer between 1 and 10, inclusive, the

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