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Retired Moderator V
Joined: 21 Jun 2014
Posts: 1074
Location: India
Concentration: General Management, Technology
GMAT 1: 540 Q45 V20
GPA: 2.49
WE: Information Technology (Computer Software)
If the median of a list of numbers is m, the first quartile  [#permalink]

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2
10 00:00

Difficulty:   25% (medium)

Question Stats: 74% (01:51) correct 26% (01:48) wrong based on 254 sessions

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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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Math Expert V
Joined: 02 Sep 2009
Posts: 64314
Re: If the median of a list of numbers is m, the first quartile  [#permalink]

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4
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.

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##### General Discussion
Math Expert V
Joined: 02 Aug 2009
Posts: 8632
Re: If the median of a list of numbers is m, the first quartile  [#permalink]

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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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Current Student B
Status: DONE!
Joined: 05 Sep 2016
Posts: 336
Re: If the median of a list of numbers is m, the first quartile  [#permalink]

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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.
Intern  B
Joined: 02 Mar 2019
Posts: 31
Location: India
GMAT 1: 700 Q49 V36 Re: If the median of a list of numbers is m, the first quartile  [#permalink]

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its a GMAT Prep question. please tag it
Math Expert V
Joined: 02 Sep 2009
Posts: 64314
Re: If the median of a list of numbers is m, the first quartile  [#permalink]

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himanics wrote:
its a GMAT Prep question. please tag it

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

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Arrange the number to find the median
19, 22, 24, 26 ,30,33,35,42. m = 28
And then arrange the numbers less than 28
19,22,24,26 , first quartile = 46/2 = 23.

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Director  V
Joined: 24 Oct 2016
Posts: 676
GMAT 1: 670 Q46 V36 GMAT 2: 690 Q47 V38 Re: If the median of a list of numbers is m, the first quartile  [#permalink]

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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

Sort the list: 19, 22, 24, 26, 30, 33, 35, 42

Median of that list: (26+30)/2 = 28

List that are less than m: 19, 22, 24, 26
Median of the above list = (22+24)/2 = 23 Re: If the median of a list of numbers is m, the first quartile   [#permalink] 29 Nov 2019, 07:19

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