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30 Sep 2021, 06:00
Kudos
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E
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Difficulty:
15%
(low)
Question Stats:
82% (01:31) correct
18%
(02:07)
wrong
based on 50
sessions
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On a certain exam, the median grade for a group of 25 students is 67. If the highest grade on the exam is 90, which of the following could be the number of students that scored 67 on the exam?
I. 5
II. 20
III. 24
A. I only
B. II only
C. III only
D. I and II only
E. I, II, and III
I. 5
II. 20
III. 24
A. I only
B. II only
C. III only
D. I and II only
E. I, II, and III
30 Sep 2021, 07:07
Kudos
Bookmarks
Bunuel
On a certain exam, the median grade for a group of 25 students is 67. The highest grade on the exam is 90
So when the 25 numbers are listed in ascending order, 13th number (the middle number) is 67, and the 25th number in the list is 90.
So we have something like this: (12 numbers), 67, (11 numbers), 90
Let's see which of the three options is possible
I. 5
The grades could look like this: 60, 60, 60, 60, 60, 60, 60, 60, 67, 67, 67, 67, 67, 68, 68, 68, 68, 68, 68, 68, 68, 68, 68, 90
So, statement I is possible.
II. 20
The grades could look like this: 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 68, 68, 68, 68, 90
So, statement II is possible.
III. 24
The grades could look like this: 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 67, 90
So, statement III is possible.
