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Math Expert V
Joined: 02 Sep 2009
Posts: 59623
In the list above, if n is an integer between 1 and 10, inclusive, the  [#permalink]

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Difficulty:   5% (low)

Question Stats: 89% (01:23) correct 11% (01:04) wrong based on 124 sessions

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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

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NUS School Moderator V
Joined: 18 Jul 2018
Posts: 1025
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Re: In the list above, if n is an integer between 1 and 10, inclusive, the  [#permalink]

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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

Senior SC Moderator V
Joined: 22 May 2016
Posts: 3729
In the list above, if n is an integer between 1 and 10, inclusive, the  [#permalink]

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2
Afc0892 wrote:
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

Afc0892
Your method is perfect if n must equal 1 OR 10, because then the integers are consecutive and median = mean.

But median $$\neq$$ 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) _________________
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NUS School Moderator V
Joined: 18 Jul 2018
Posts: 1025
Location: India
Concentration: Finance, Marketing
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Re: In the list above, if n is an integer between 1 and 10, inclusive, the  [#permalink]

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generis wrote:
Afc0892 wrote:
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

Afc0892
Your method is perfect if n must equal 1 OR 10, because then the integers are consecutive and median = mean.

But median $$\neq$$ 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) Got it. Thanks Non-Human User Joined: 09 Sep 2013
Posts: 13730
Re: 2,4,6,8,n,3,5,7,9 In the list above, if n is an integer  [#permalink]

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_________________ Re: 2,4,6,8,n,3,5,7,9 In the list above, if n is an integer   [#permalink] 26 Nov 2019, 13:03
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# In the list above, if n is an integer between 1 and 10, inclusive, the  