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If the median of a list of numbers is m, the first quartile

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If the median of a list of numbers is m, the first quartile  [#permalink]

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New post 15 May 2016, 10:00
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E

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If the median of a list of numbers is m, the first quartile of the list is the median of the numbers in the list that are less than m. What is the first quartile of the list of numbers 42, 24, 30, 22, 26, 19, 33 and 35 ?

A) 33

B) 28

C) 27

D) 24

E) 23

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Re: If the median of a list of numbers is m, the first quartile  [#permalink]

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New post 15 May 2016, 10:08
HKD1710 wrote:
If the median of a list of numbers is m, the first quartile of the list is the median of the numbers in the list that are less than m. What is the first quartile of the list of numbers 42, 24, 30, 22, 26, 19, 33 and 35 ?

A) 33

B) 28

C) 27

D) 24

E) 23


The median of {19, 22, 24, 26, 30, 33, 35, 42} is 28.

The numbers less than the median are {19, 22, 24, 26}. The median of this list is 23.

Answer: E.
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Re: If the median of a list of numbers is m, the first quartile  [#permalink]

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New post 15 May 2016, 10:09
1
HKD1710 wrote:
If the median of a list of numbers is m, the first quartile of the list is the median of the numbers in the list that are less than m. What is the first quartile of the list of numbers 42, 24, 30, 22, 26, 19, 33 and 35 ?

A) 33

B) 28

C) 27

D) 24

E) 23


It is given that a quartile is the middle number of all numbers less than median..

so lets arrange the number in ascending order- 42, 24, 30, 22, 26, 19, 33 and 35
19, 22, 24, 26, 30 , 33, 35, 42...

numbers less than median are 19, 22, 24, 26..
the median of these numbers = center of 22 and 24 = 23
E
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Re: If the median of a list of numbers is m, the first quartile  [#permalink]

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New post 15 Oct 2016, 08:11
rearrange numbers (lowest - highest)

19 22 24 26 30 33 35 42

Notice that since we have an even number we go to the center of the list --> add 26 & 30, divide by 2 = 28 (Median of the set)

Numbers in list less than 28 are as follows: 19 22 24 26 --> Median of these = (22+24)/2 = 23

Thus, E is the correct answer.
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Re: If the median of a list of numbers is m, the first quartile  [#permalink]

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