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For each of the following statements, select True if the [#permalink]

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08 May 2013, 06:54

Expert's post

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Attachment:

Table.png [ 13.59 KiB | Viewed 3001 times ]

For each of the following statements, select True if the statement can be verified as true based on the information in the table. Otherwise select False

True False The proportion of museums in D related to Science, History and Archaeology is greater than the proportion of museums in F devoted to the same

The ratio of public museums to private museums is greatest for C

There is a positive correlation between the number of public museums and the number of visitors per year. _________________

Re: For each of the following statements, select True if the [#permalink]

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08 May 2013, 10:03

Bunuel wrote:

Attachment:

Table.png

For each of the following statements, select True if the statement can be verified as true based on the information in the table. Otherwise select False

True False The proportion of museums in D related to Science, History and Archaeology is greater than the proportion of museums in F devoted to the same

The ratio of public museums to private museums is greatest for C

There is a positive correlation between the number of public museums and the number of visitors per year.

The answers according to me would be, True, False, False.

Statement 1. By the proportion, I believe the question refers to the ratio of 'Museums in Science, History and Archaeology' to the total number. The ratio comes to be: D - 780/1173 ~ 0.66 and F - 498/775 ~ 0.64 (The calc is prity close so I didn't go for an approximations and went for exact values)

Statement 2: The ratio is greatest in B 220:1. Statement 3: this was confusing since I had no idea regarding 'positive correlation', and simply used the idea of 'number of public museums' being directly proportional to the number of visitors. In that case, clearly, the increase in the number of public museums does not ensure increase in visitors. Hence, I think it might be false. Please verify!

Re: For each of the following statements, select True if the [#permalink]

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09 May 2013, 02:33

The proportion of museums in D related to Science, History and Archaeology is greater than the proportion of museums in F devoted to the same Without calculator - i really cannot tell, the ratios seem almost equal. The ratio of public museums to private museums is greatest for C False: B has highest ratio. There is a positive correlation between the number of public museums and the number of visitors per year. Flase: compare A and B, there is one order of magintude difference in number of visitors althoug number of puplic museums is only 10% different. Similar story for G and H.

With calculator: (Calculator will be available during exam) D: 780/1173 = 0.66 F: 498/775 = 0.64

So the statement is true.

2. The ratio of public museums to private museums is greatest for C

From a quick glance, it is visible that highest ratio is with the country B.

So the statement is false.

3. There is a positive correlation between the number of public museums and the number of visitors per year.

To answer this question, we need to sort the data on the column public (GMAT IR section provides teh sorting feature) After the sorting, the data can be found as follows

Number of public museums-**-Visitors per year 163 -********************************- 2058817 203 -*******************************- 11579900 -**- increase in number of visitors 220 -********************************- 2427703 -**- decrease in number of visitors 615 -*******************************- 10123438 -**- increase in number of visitors 713 -*******************************- 19648000 -**- increase in number of visitors 960 -*******************************- 12627700 -**- decrease in number of visitors 973 -*******************************- 56065370 -**- increase in number of visitors 1053 -******************************- 40469600 -**- decrease in number of visitors

Thus, it is evident that number of public museums does not have positive correlation with number of visitors per year.

Re: For each of the following statements, select True if the [#permalink]

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17 May 2013, 13:01

Excel format of the table attached.

St1: The proportion of museums in D related to Science, History and Archaeology is greater than the proportion of museums in F devoted to the same % for D = 0.66 % for F = 0.64 TRUE

St2:The ratio of public museums to private museums is greatest for C Ratio for C = 2.67 Ratio for E is greater than 9 hence C is not the greatest. FALSE

St3: There is a positive correlation between the number of public museums and the number of visitors per year. Out of 8 countries, 5 show an increase in visitors with increase in # public museums. I would take that as a sign of POSITIVE correlation since majority is showing a +ve corr. It is not necessary that each country must show this +ve relationship (at least that's my understanding that if we plot this line on a graph with # public museums on X asis and Visitors per year on Y axis, if the slope is up, that's +ve correlation. A positive correlation can co-exist with some elements in the set that might be negatively correlated). TRUE

Any expert comments would be much apprciated for the 3rd part.

Re: For each of the following statements, select True if the [#permalink]

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29 Jun 2013, 07:47

aniketmunshi wrote:

experts!...pls throw some light on..."positive co relation" Thnks A

I'm no expert, but I do pretty well on IR. My understanding of positive correlation is: can you infer from the data that a relatively large value on one axis is likely to correspond to a relatively large value on the other axis?

So in the scope of this question, if I ask you to estimate the visitors per year for:

(1) 300-museum country, and

(2) 800-museum country,

Are you going to guess a larger value for the second option?

Then there's probably a positive correlation. (Of course, this is assuming a strictly increasing/decreasing line/curve of best fit; this is going to get more complicated if the data follows a parabolic trend or something.)