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Difficulty: 705-805 Level,    Tables,                
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Re: The table lists the women enrolled as a percent of the total enrollmen [#permalink]
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elle089 wrote:
The table lists the women enrolled as a percent of the total enrollment for each of the 3 universities—University X, University Y, and University Z—in Province A for the fall term of several consecutive years. For the fall term of each of these years, the table also lists the women enrolled at the 3 universities combined as a percent of the total combined enrollment at the 3 universities.

Women Enrolled, as a Percent of Total Enrollment
FallUniversity XUniversity YUniversity ZProvince A
200052.844.258.550.6
200153.144.158.950.7
200253.64455.850.8
200353.343.658.650.5
20045343.958.150.5
200552.543.758.350.2
200652.243.858.150.1
20075243.257.849.7
200851.443.858.349.7
(Sort ↕ the table by clicking on the headers)

For each of the following statements, select T if the statement is true based on the information provided; otherwise, select F.
 


It is important to understand what exactly the table gives you. It gives women enrolled as a percent of the total enrollment for each of the 3 universities. So if University X had 1000 students enrolled in 2000, 528 were women. If in the same year, university Y had 2000 students enrolled, then 884 of them were women. 
This is all the info we get from the table. No info about the actual number of students enrolled and women enrolled. 

Of the 3 universities, University Y had the smallest total fall enrollment in each of the years 2000 through 2008.

We have no idea about total fall enrollement of any university in any year. Answer F

In 2008, fewer women were enrolled in college in Province A than in 2000.

Since we don't know anything about number of enrollments (only percentage of women in them), so answer here is also F.

Each of the 3 universities experienced at least one decline from one fall to the next in the number of women enrolled as a percent of the total enrollment.

We are looking at decline in "the number of women enrolled as a percent of the total enrollment." This information we have.
For university X, the percentage declined from 53.6 to 53.3 from 2002 to 2003. 
For university Y, the percentage declined from 44.2 to 44.1 from 2000 to 2001.
For university Z, the percentage declined from 58.9 to 55.8 from 2001 to 2002. 
Answer T
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Re: The table lists the women enrolled as a percent of the total enrollmen [#permalink]
Thanks KarishmaB. AndrewN's response above indicates something about "weighted average".

So, is there any knowledge of "weighted average" required in this question?
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Re: The table lists the women enrolled as a percent of the total enrollmen [#permalink]
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mpobisetty wrote:
Thanks KarishmaB. AndrewN's response above indicates something about "weighted average".

So, is there any knowledge of "weighted average" required in this question?


The column of Province A is the weighted average of the other three columns (where weights are the number of people enrolled in each univ in that year.) 
We do not need to use the concept of weighted averages to solve this question but another question based on this table could involve the concept.
Weighted averages is a useful tool for your IR type DI questions. 

AndrewN 's analysis is perfectly good, as usual. We need to ensure that the column of  Province A is possible even when the enrollments in University Y are more than others. You can assume that university X has a minute number of people (so that its weight is negligible) and the other 2 balance out to get Province A figures and hence you can ignore weighted averages here. 
But in a question with say 2 universities, you will be able to find out which univ has more enrollments and which has less each year based on column of Province A (which will give weighted average of those 2 univs only).
 

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Re: The table lists the women enrolled as a percent of the total enrollmen [#permalink]
KarishmaB wrote:

Each of the 3 universities experienced at least one decline from one fall to the next in the number of women enrolled as a percent of the total enrollment.

We are looking at decline in "the number of women enrolled as a percent of the total enrollment." This information we have.
For university X, the percentage declined from 53.6 to 53.3 from 2002 to 2003. 
For university Y, the percentage declined from 44.2 to 44.1 from 2000 to 2001.
For university Z, the percentage declined from 58.9 to 55.8 from 2001 to 2002. 
Answer T
­

­Can you explan this a bit more KarishmaB. For instance, the total enrollment may have changed from 2002 to 2003. So, how can we concluded something about the "number of women" based on the percentage?
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Re: The table lists the women enrolled as a percent of the total enrollmen [#permalink]
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mpobisetty wrote:
KarishmaB wrote:

Each of the 3 universities experienced at least one decline from one fall to the next in the number of women enrolled as a percent of the total enrollment.

We are looking at decline in "the number of women enrolled as a percent of the total enrollment." This information we have.
For university X, the percentage declined from 53.6 to 53.3 from 2002 to 2003. 
For university Y, the percentage declined from 44.2 to 44.1 from 2000 to 2001.
For university Z, the percentage declined from 58.9 to 55.8 from 2001 to 2002. 
Answer T
­

­Can you explan this a bit more KarishmaB. For instance, the total enrollment may have changed from 2002 to 2003. So, how can we concluded something about the "number of women" based on the percentage?

­We are looking at percent of women and not number of women.

Each of the 3 universities experienced at least one decline from one fall to the next in the number of women enrolled as a percent of the total enrollment.
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Re: The table lists the women enrolled as a percent of the total enrollmen [#permalink]
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mpobisetty wrote:
KarishmaB wrote:

Each of the 3 universities experienced at least one decline from one fall to the next in the number of women enrolled as a percent of the total enrollment.

We are looking at decline in "the number of women enrolled as a percent of the total enrollment." This information we have.
For university X, the percentage declined from 53.6 to 53.3 from 2002 to 2003. 
For university Y, the percentage declined from 44.2 to 44.1 from 2000 to 2001.
For university Z, the percentage declined from 58.9 to 55.8 from 2001 to 2002. 
Answer T
­

­Can you explan this a bit more KarishmaB. For instance, the total enrollment may have changed from 2002 to 2003. So, how can we concluded something about the "number of women" based on the percentage?


 

What data does the table give us? 

"Women Enrolled, as a Percent of Total Enrollment"

 in 2001, in University X, of the total enrollment, 52.8% were women. 

Now read the question once again: 
Each of the 3 universities experienced at least one decline from one fall to the next in the number of women enrolled as a percent of the total enrollment.

They are looking for decline in this same quantity. So all you have to see is whether the entries reduce from one year to the next at some time for each univ. 

Check out this video on Table Analysis:
https://youtu.be/41uPmg6ipos

­
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The table lists the women enrolled as a percent of the total enrollmen [#permalink]
I think it should be 2000 in place of 2001. KarishmaB
Quote:

Quote:
  
KarishmaB wrote:

Each of the 3 universities experienced at least one decline from one fall to the next in the number of women enrolled as a percent of the total enrollment.

We are looking at decline in "the number of women enrolled as a percent of the total enrollment." This information we have.
For university X, the percentage declined from 53.6 to 53.3 from 2002 to 2003. 
For university Y, the percentage declined from 44.2 to 44.1 from 2000 to 2001.
For university Z, the percentage declined from 58.9 to 55.8 from 2001 to 2002. 
Answer T
­

­Can you explan this a bit more KarishmaB. For instance, the total enrollment may have changed from 2002 to 2003. So, how can we concluded something about the "number of women" based on the percentage?


 

What data does the table give us? 

"Women Enrolled, as a Percent of Total Enrollment"

 in 2001, in University X, of the total enrollment, 52.8% were women. 

Now read the question once again: 
Each of the 3 universities experienced at least one decline from one fall to the next in the number of women enrolled as a percent of the total enrollment.

They are looking for decline in this same quantity. So all you have to see is whether the entries reduce from one year to the next at some time for each univ. 

Check out this video on Table Analysis:
https://youtu.be/41uPmg6ipos

­

­
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