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Mrs. Rhonda's first grade class of 25 students is lined up in two rows

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Mrs. Rhonda's first grade class of 25 students is lined up in two rows  [#permalink]

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New post 20 Oct 2018, 09:34
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Question Stats:

90% (01:26) correct 10% (01:20) wrong based on 29 sessions

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Mrs. Rhonda's first grade class of 25 students is lined up in two rows for a class picture. In the first row, the students are lined up shortest to tallest. This increasing height order continues into the second row. The shortest student in the second row is 42 inches tall while the tallest student in the first row is 38 inches tall. What is the median height of the 25 students in Mrs. Rhonda's class?
1) There is one more student in the first row than in the second row.
2) The mean height of all the students is 41 inches.


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Re: Mrs. Rhonda's first grade class of 25 students is lined up in two rows  [#permalink]

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New post 20 Oct 2018, 09:43
answer: A

Statement 1 tells us that there is one more student on the second row than the first
Let x be the number of students on the first row and x + 1 is the number of students on the second
therefore x + (x+1) needs to equal 25
Therefore x = 12
The medium is the 13th student and because there are 12 students on the first row, the 13th student is the one that has a height of 42, therefore sufficient

Statement 2 doesn't say anything about the 13th student. And isn't sufficient
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Re: Mrs. Rhonda's first grade class of 25 students is lined up in two rows  [#permalink]

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New post 20 Oct 2018, 09:45
Mrs. Rhonda's first grade class of 25 students is lined up in two rows for a class picture. In the first row, the students are lined up shortest to tallest. This increasing height order continues into the second row. The shortest student in the second row is 42 inches tall while the tallest student in the first row is 38 inches tall. What is the median height of the 25 students in Mrs. Rhonda's class?
1) There is one more student in the first row than in the second row.
2) The mean height of all the students is 41 inches.

So lets say
Row 1 ...... Short .............. Tall
Row 2. Short.......Tall.

As per given information
Row 1.=> short..................38
Row 2 => 42.....................tall

given we have 25 students , median is the 13th person . so if Row 1 has 13 person , median = 38 or if row 2 has 13 person, median = 42 , but not clear as of now

Option 1 , row 1 has 1 more than row 2, which means 38 is median, clear and sufficient

Option 2. 41 is mean , if 41 is mean ....all other numbers in row 1 will be lower than 38 as in row 2 everything is higher than 42...but it does not tell what is the median
not sufficient


A is the answer
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Re: Mrs. Rhonda's first grade class of 25 students is lined up in two rows  [#permalink]

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New post 20 Oct 2018, 09:46
A.

First statement means the first row has 13 kids and second row has 12. The median is going to be the middle term for 25, which is 13 and also the height of the tallest in the first row. 38 inches.
The second statement is insufficient as we can't estimate the magnitude of difference in heights and thus can't predict which row has how many kids.
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Re: Mrs. Rhonda's first grade class of 25 students is lined up in two rows  [#permalink]

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New post 20 Oct 2018, 10:12
Since number of student is odd --> Median is the 13th tallest student

Statement 1: Since there is one more student in the first row, 13th highest student is the tallest student in the first row --> median = 38 inches
--> Statement 1 is sufficient

Statement 2: we dont need mean to find the median. The mean height let us know total height of 25 student but can not help us find the median
--> Statement 2 is insufficient

Hence, Choice A is the answer
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Re: Mrs. Rhonda's first grade class of 25 students is lined up in two rows &nbs [#permalink] 20 Oct 2018, 10:12
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Mrs. Rhonda's first grade class of 25 students is lined up in two rows

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