For each of the following statements, select True if the statement

Question

Country  
  Total  
  Related to
architecture,
art, history  
  Public
ownership  
  Private
ownership  
  Visitors
per year  
  Staff  
 
   Austria  
 399 
 79 
 203 
 196 
 11579900 
 7820 
 
   Croatia  
 221 
 65 
 220 
 1 
 2427703 
 1602 
 
   Estonia  
 224 
 67 
 163 
 61 
 2058817 
 2203 
 
   France  
 1173 
 780 
 1053 
 120 
 40469600 
 24500 
 
   Hungary  
 671 
 185 
 615 
 66 
 10123438 
 5807 
 
   Netherlands  
 775 
 498 
 713 
 62 
 19648000 
 27810 
 
   Spain  
 1455 
 679 
 973 
 482 
 56065370 
 15811 
 
   Switzerland  
 1061 
 291 
 960 
 101 
 12627700 
 5939

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.

KarishmaB · Accepted Answer

Positive correlation means the correlation co-efficient is greater than 0. It is not the same as direct relation (in which a higher value of one must lead to a higher value of another) This is what the graph of positive correlation looks like: Screenshot 2022-02-12 at 12.18.33.png When x is increasing, y is also increasing generally. But there can be data points where x is higher but y is lower. As long as the trend is upwards, it is a positive correlation. Notice how it is different from negative correlation and no correlation.

srcc25anu · Answer

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.

Apt0810 · Answer

A)Yes France has 780 museums while Netherlands has 498
B)Ratio of public to private for the countries are:
1)Austria:203/196=1.03
2)Croatia:220/1=220
3)Estonia:163/61=2.67
4)France:1053/120=8.775
5) Hungary:615/66=9.31
6) Netherlands:713/62=11.5
7)Spain:973/482=2.01
8) Switzerland:960/101=9.5

So answer is false since Croatia has the highest ratio

C)True,per the table when number of public museum decrease/increase the number of visitors per year also decrease/increase in the same pattern

Posted from my mobile device

bM22 · Answer

1. The proportion of museums in France related to architecture, art, or history is greater than the proportion of museums in the Netherlands devoted to art, architecture, or history.

The proportion of museums in France related to architecture, art, or history : 780/1173 = 66.49%.
The proportion of museums in the Netherlands devoted to art, architecture, or history: 498/775 = 64.25%

So yes, the statement is true and can be verified from the data given in the table.
 Answer - True.

2. The ratio of public museums to private museums is greatest for Estonia.
Looking at the data of the public to Private Museums of the countries, we can see that Croatia has a ratio of 220/1 and rest are obviously less, as is visible in the data.
So no, the statement is not true.
 Answer False.

3.There is a positive correlation between the number of public museums and the number of visitors per year.
We can see that as the no. of public museums increase, the no. of visitors also increase for the countries and as the no. of the no. of museums decrease, like for Estonia, the no. of visitors also reduced in comparison to those Croatia.
So  increase/decrease  in the no. of public museums is directly related to the  increase/decrease  in the number of visitors per year.

So true, it can be verified from the table.
 Answer True.

Sajjad1994 · Answer

Official Explanation

RO1: Infer

Of all the museums in France, the proportion of museums related to architecture, art, or history is  \small \frac{780}{1,173} , or approximately 0.665. Of all the museums in the Netherlands, the proportion of museums related to architecture, art, or history is  \small \frac{498}{775} , or approximately 0.643. Therefore the proportion in France is greater than that in the Netherlands.

The correct answer is True.

RO2: Infer

Estonia has 61 private museums and 163 public ones. Sorting the table on Ownership, Private shows that both the Netherlands and Hungary have a similar number of private museums as Estonia, but many more public museums; therefore the ratio of public to private museums in Estonia is lower than that in these countries.

The correct answer is False.

RO3: Infer

Sorting the table on Ownership, Public shows that, in general, as the number of public museums increases so does the number of visitors per year. Therefore there is a positive correlation between the number of public museums and the number of visitors per year.

The correct answer is True.

Will2020 · Answer

Hi. Regarding C, why is there a positive correlation? The number are varying up and down....Tks!

Prtkmjn · Answer

I fail to understand the logic in question C. How is it positively correlated? As mentioned in the case of Austria and Croatia.

Kindly elaborate.

chetan2u · Answer

Positively correlated does not mean that all the data points have to be in a particular order. It means that the general trend is positive or that majoity of the data points move in a certail direction. There could be few abberations.

As per GMAT, the definitions are as below
 
 Charts often show trends over time. They may show that a variable’s values increase, decrease, fluctuate, or change in cycles. They may also show values of different plotted variables changing the same ways or opposite ways.Other things equal, an observed trend over a period is evidence that the same trend extends at least slightly before and after that period. This evidence is stronger the longer the observed trend has lasted and the more varied the conditions it’s lasted through. Generalizing from a longer observed period with more varied conditions is like generalizing from a larger sample.  But the odds increase of other factors disrupting the observed trend at times more distant from the observed period, and in situations whose conditions differ more from those observed.

Two quantitative or ordinal variables are   positively correlated   if they both tend to be higher in the same cases. They’re   negatively correlated   if one tends to be higher in cases where the other is lower.

MBAToronto2024 · Answer

KarishmaB  is there any way to estimate proportion of museums in FR and NL?

KarishmaB · Answer

For these simple one step divisions, you should use the calculator. Practice using it so that you don't forget it exists in the actual test. We can estimate but frankly, after estimating, I will still use the calculator and here is why:

FR = 780/1173 
Approximate this to 800/1200. It is a very decent approximation because we have increased the numerator by 20 and denominator by 27. The denominator is greater than the numerator so percentage wise, we have increased both equally. So the actual value here would be very close to 66.6%

NL = 498/775
Approximate this to 500/800. I have over-estimated the denominator which means that the actual percentage will be greater than what I get.
5/8 = 62.5% (Fraction percent equivalents). The actual value will be a bit greater than this so I would guess that FR is higher but it would be better to check since 66.6 isn't much greater than 62.5.

Had the value for FR been 60, I would have been comfortable saying that NL is greater because actual NL value must be greater than 62.5.

Here is a video on fraction percent equivalents:  https://youtu.be/HxnsYI1Rws8

Usernamevisible · Answer

https://www.youtube.com/watch?v=gN8jfyz ... MQ&index=4 From 8th minute

For each of the following statements, select True if the statement

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Country	Total	Related to architecture, art, history	Public ownership	Private ownership	Visitors per year	Staff
Austria	399	79	203	196	11579900	7820
Croatia	221	65	220	1	2427703	1602
Estonia	224	67	163	61	2058817	2203
France	1173	780	1053	120	40469600	24500
Hungary	671	185	615	66	10123438	5807
Netherlands	775	498	713	62	19648000	27810
Spain	1455	679	973	482	56065370	15811
Switzerland	1061	291	960	101	12627700	5939

True	False
		The proportion of museums in France related to architecture, art, or history is greater than the proportion of museums in the Netherlands devoted to art, architecture, or history.
		The ratio of public museums to private museums is greatest for Estonia.
		There is a positive correlation between the number of public museums and the number of visitors per year.

GMAT Graphs and Tables (G&T) Questions

For each of the following statements, select True if the statement

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