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All 48 seniors in a certain high school take one of two English classe

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Intern
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Joined: 14 Sep 2017
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Kudos [?]: 9 [1], given: 11

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All 48 seniors in a certain high school take one of two English classe [#permalink]

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  35% (medium)

Question Stats:

57% (01:46) correct 43% (00:44) wrong based on 35 sessions

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All 48 seniors in a certain high school take one of two English classes. What is the average (arithmetic mean) height of the seniors in this school?

1) In the school, the average height of the seniors in the English class with the larger number of students is 70 inches

2) In the school, the average height of the seniors in the English class with the smaller number of students is 4/5 of the average height of the seniors in the other English class
[Reveal] Spoiler: OA

Kudos [?]: 9 [1], given: 11

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Intern
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Joined: 25 Jul 2017
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Kudos [?]: 19 [1], given: 22

All 48 seniors in a certain high school take one of two English classe [#permalink]

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New post 13 Oct 2017, 19:46
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Call x is the number of students in the English class with larger number of students. Call y is the number of students in the English class with smaller number of students.
=> x+y = 48
To calculate average mean, we need to know the total height of total students and the total number of senior students. We already know the total number of senior students. It means that a clue is sufficient when we can know the total height of total students.

1/ We just know the average mean of height of students in larger class. We cannot know the total height => insuff
2/ We cannot total height of all students from this clue => insuff

If 1 and 2 combine together => We can know the average mean of height of smaller class. But it's not sufficient to know the total height of all students => insuff

The correct answer should be E

Please kudo if it helps. Thanks.

Kudos [?]: 19 [1], given: 22

Senior Manager
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Kudos [?]: 173 [0], given: 81

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Re: All 48 seniors in a certain high school take one of two English classe [#permalink]

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New post 13 Oct 2017, 20:30
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Total students in two English classes= 48

(1) The avg. height of class with the larger number of students is 70 inches - No information about the number of students in that class and about the avg. height of other class. Insuff.

(2) The avg. height of class with the smaller number of students is 4/5 of the average height of other class - No information about the avg. height of other class.

(1) & (2) together,
the avg. height of one class is 70 and the avg. height of other class is 4/5*(70) = 56. No information about the number of students in any class. Insuff.

Ans: E.

Kudos [?]: 173 [0], given: 81

Re: All 48 seniors in a certain high school take one of two English classe   [#permalink] 13 Oct 2017, 20:30
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