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# The above table indicates the height category for the 300 students at

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Retired Moderator
Joined: 27 Aug 2012
Posts: 1091
The above table indicates the height category for the 300 students at  [#permalink]

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11 Aug 2013, 10:12
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Difficulty:

15% (low)

Question Stats:

79% (01:34) correct 21% (01:37) wrong based on 139 sessions

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The above table indicates the height category for the 300 students at Benjamin Junior High School. If M is the median height of the students at the school, which of the following is true?

A. 4 ≤ M < 4.5
B. 4.5 ≤ M < 5
C. 5 ≤ M < 5.3
D. 5.3 ≤ M < 5.5
E. 5.5 ≤ M < 6

Attachment:

Unbenannt2.png [ 6.95 KiB | Viewed 1809 times ]

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Location: India
Concentration: General Management, Operations
GMAT 1: 700 Q50 V34
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Re: The above table indicates the height category for the 300 students at  [#permalink]

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11 Aug 2013, 10:21
1
bagdbmba wrote:
1.The table below indicates the height category for the 300 students in "Bejamin" junior high school. If M is the median height of the students in the school, which of the following it true?

Height (H, in feet) Number of Students
H<4 25
4≤H<4.5 60
4.5≤H<5   80
5≤H<5.3    55
5.3≤H<5.5  50
5.5≤H<6   20
H>6    10

A.4≤M<4.5
B.4.5≤M<5
C.5≤M<5.3
D.5.3≤M<5.5
E.5.5≤M<6

P.S: How do I insert the the data in the question in a tabular format?

300 students are there hence median will be 150 and 151th student ...staring in ascending order.
25 +60 + 80=165...this means clearly the median will come in the slot of 4.5≤H<5
hence ans B
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Re: The above table indicates the height category for the 300 students at  [#permalink]

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11 Aug 2013, 10:59
2
bagdbmba wrote:
1.The table below indicates the height category for the 300 students in "Bejamin" junior high school. If M is the median height of the students in the school, which of the following it true?

Height (H, in feet) Number of Students
H<4 25
4≤H<4.5 60
4.5≤H<5   80
5≤H<5.3    55
5.3≤H<5.5  50
5.5≤H<6   20
H>6    10

A.4≤M<4.5
B.4.5≤M<5
C.5≤M<5.3
D.5.3≤M<5.5
E.5.5≤M<6

P.S: How do I insert the the data in the question in a tabular format?

This one is easy..
Here's Approach
There are a total of 300 students and we are required to find the Median height....Since the median height of students will equal to the height of the students in median range so the is.....
Median of 300 is 150 and 151th student ..
Staring in ascending order. These students will lie in range of 4.5≤H<5 since
25 +60 + 80=165...
Hence the median is in range of 4.5≤H<5
B correct
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Joined: 10 Jul 2013
Posts: 314
Re: The above table indicates the height category for the 300 students at  [#permalink]

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11 Aug 2013, 14:29
bagdbmba wrote:
1.The table below indicates the height category for the 300 students in "Bejamin" junior high school. If M is the median height of the students in the school, which of the following it true?

Height (H, in feet) Number of Students
H<4 25
4≤H<4.5 60
4.5≤H<5   80
5≤H<5.3    55
5.3≤H<5.5  50
5.5≤H<6   20
H>6    10

A.4≤M<4.5
B.4.5≤M<5
C.5≤M<5.3
D.5.3≤M<5.5
E.5.5≤M<6

P.S: How do I insert the the data in the question in a tabular format?

students 300, med = 150.5 which lies between 25+60=85th and 25+60+80=165th student, so med is in the 4.5≤H<5
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Posts: 158
Re: The above table indicates the height category for the 300 students at  [#permalink]

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26 Sep 2015, 05:41
reto wrote:
Attachment:
Unbenannt2.png

The above table indicates the height category for the 300 students at Benjamin Junior High School. If M is the median height of the students at the school, which of the following is true?

A. 4≤M<4.5
B. 4.5≤M<5
C. 5≤M<5.3
D. 5.3≤M<5.5
E. 5.5≤M<6

There are total 300 students. The median height should be the average of height 150th and 151st student when the 300 students are arranged in ascending order.
From the table it is clear that both 150th and 151st student will lie in the category 4.5≤H<5

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Re: The above table indicates the height category for the 300 students at  [#permalink]

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14 Jul 2018, 10:40
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Re: The above table indicates the height category for the 300 students at &nbs [#permalink] 14 Jul 2018, 10:40
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