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# What is the median value of the integers from 14–80, inclusive?

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Math Expert
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What is the median value of the integers from 14–80, inclusive?  [#permalink]

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23 Jan 2019, 02:19
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91% (01:09) correct 9% (00:39) wrong based on 29 sessions

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What is the median value of the integers from 14–80, inclusive?

A 43
B 44
C 45
D 46
E 47

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Posts: 14
Re: What is the median value of the integers from 14–80, inclusive?  [#permalink]

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23 Jan 2019, 05:05
IMO E. 47

There are 67 integers between 14, 80. [80-14]+1=67. The median for an odd number of integers in a set is the average of the first and last integers ie. 33.5 then 14+33.5= 47.5 must round down to 47. not sure if its correct.
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Re: What is the median value of the integers from 14–80, inclusive?  [#permalink]

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23 Jan 2019, 05:33
1
manggarai

I believe:
There are 67 integers between 14, 80. [80-14]+1=67.

Median is not mean. Median is the middle number. So it doesn't have to be the average of the first and last numbers.
If the set has an odd number of elements, the median will be one of the numbers from that set.
If the set has an even number of elements, the median will be inbetween two numbers in the set.

The median will be an integer since it is an odd number of elements. There will be 1 number, the median, and 33 numbers either side of the median.
14+32 (not 33 cause we need to include 14 in the set) is 46
80-32 (not 33 cause we need to include 80 in the set) is 48
Median is 47.
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What is the median value of the integers from 14–80, inclusive?  [#permalink]

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23 Jan 2019, 07:33
Bunuel wrote:
What is the median value of the integers from 14–80, inclusive?

A 43
B 44
C 45
D 46
E 47

here we need to determine is the median value
so
total integers in the set = 80-14+1 = 67
middle value would be the 67/2 = 33.5 integer term
or say the middle value would be 33.5+14 = 47.5 ` ~ 47
IMO E
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Re: What is the median value of the integers from 14–80, inclusive?  [#permalink]

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23 Jan 2019, 07:54
1
Bunuel wrote:
What is the median value of the integers from 14–80, inclusive?

A 43
B 44
C 45
D 46
E 47

Total terms will be a+b - 1 = 14+80 - 1 = 67

Now the median will be the (67+1)/2 = 34th term(since its an odd number, we can calculate the middle term as (n+1)/2

This will be a + 33*d = 14 + 33 = 47
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Re: What is the median value of the integers from 14–80, inclusive?  [#permalink]

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27 Jan 2019, 19:52
2
Bunuel wrote:
What is the median value of the integers from 14–80, inclusive?

A 43
B 44
C 45
D 46
E 47

The median is the middle value. The median of the integers from 14 to 80 is (80 + 14)/2 = 94/2 = 47.

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Re: What is the median value of the integers from 14–80, inclusive?   [#permalink] 27 Jan 2019, 19:52
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