A gallery displayed and sold works of art by five different artists.

Question

A gallery displayed and sold works of art by five different artists. The table gives a list of all the pieces that were displayed.

Piece  
  Artist  
  Material  
  Sale
Price ($)  
 
  Alley 
 Brooks 
 Watercolor on Paper 
 3100 
 
  Conspire 
 Alenka 
 Ink on Paper 
 1300 
 
  Flop 
 Masterson 
 Acrylic Paint on Canvas 
 1900 
 
  Guarrny 
 Brooks 
 Acrylic Paint on Canvas 
 1700 
 
  Inspire 
 Alenka 
 Chalk on Paper 
 1900 
 
  Monsoul 
 Brooks 
 Chalk on Paper 
 2200 
 
  Morgue 
 Masterson 
 Oil on Canvas 
 2300 
 
  Past Mast 
 Fabiano 
 Collage 
 Not sold 
 
  Perspire 
 Alenka 
 Chalk on Paper 
 1600 
 
  Sane 
 Masterson 
 Oil on Canvas 
 2100 
 
  Shuffle #2 
 Julien 
 Ink on Paper 
 1400 
 
  Shuffle #6 
 Julien 
 Ink on Paper 
 1400 
 
  Spear Lear 
 Julien 
 Acrylic Paint on Canvas 
 2500 
 
  Tender Mist 
 Fabiano 
 Watercolor on Paper 
 1800 
 
  Untitled #26 
 Julien 
 Collage 
 1700 
 
  Wispy Clouds 
 Fabiano 
 Acrylic Paint on Canvas 
 1400

For each of the following statements, select  Yes  if the statement is true based on the information in the table. Otherwise, select  No .

mmdfl · Answer

How to do the question 3 quickly?

Saad225 · Answer

Maybe count the number of values above 2000 and below;

for one: you have only 2 values above 2000
for the other 50% of the values are above;

--> that must help going faster I think

mmdfl · Answer

but why 2000 thou? The problem with question 3, regarding time consumption, is the fact that we need to calculate the average value of two different categories.

Sajjad1994 · Answer

Official Explanation

Statement 1:  Fifteen of the 16 pieces sold. The eighth highest sale price is the median of the set of sale prices. This price is $1800.

Answer: No

Statement 2:  The probability that a piece by Masterson sold for more than $2000 is 33%, but that’s not what the question is asking. Five pieces in total sold for more than $2000, and two of them were by Masterson, so the probability is 2 out of 5, or 40%.

Answer: No

Statement 3:  This will take some doing, since there’s no neat way to sort the table in order to get all the canvas and paper works grouped neatly together. It is also not easy to eyeball the table and judge whether paper or canvas works had a higher average sale price so you should calculate the actual averages. Sorting by material helps a little. Six pieces were on canvas. Their average sale price was:

\frac{1400+1700+1900+2500+2100+2300}{6}=1983.33$

Answer: Yes

Robo_123 · Answer

Similar to what someone asked above, how do we do the 3rd part quickly?

Bunuel · Answer

The averages for works on canvas and on paper come out pretty close to each other (1980 and 1840), so here you need to actually calculate the averages and compare.

Vivek1707 · Answer

One observation based intuitive method  which takes less time

Canvas  there are two sets of data points

+  Acrylic Paint on Canvas  2500, 1900, 1700, 1400 ---> This avg will be close to 1800, how to judge ?

data points 1700 and 1400 will have an avg in between lets say ~1500 and data point of 2500 and 1900 will have an avg of say ~2200 ---> so overall avg of this set will (if you compare ~1500 and ~2200) will be say ~1700

Next set of canvas -  Oil on Canvas  2300, 2100 ---> this ll have an average of say ~2200

So if you compare  ~1700 and ~2200  the  overall  avg will be higher than 1700 i.e. it can be  close to ~1800

Paper

+ Ink on Paper - 1400, 1400, 1300 ---> avg will be close to  ~ 1380  
+ Ink on Paper - 2200, 1900, 1600 ---> avg will be close to  ~1800

Overall average  for paper will be  lower than 1800  i.e. it ll be close to say ~1500 or ~1600 since 1380 will drag the avg down

So it can be said that the avg will of  canvas will be higher  
This is not a full proof method but adding values and finding avg will take time and difficult to do in 2.5 mins

Let me know if this was helpful or if you have any better way.

Krangle · Answer

Dont forget that because this is DI, you can use a calculator! For the third question you should just calculate the average because the numbers are quite similar. 
Canvas = approx. 1,983
Paper = approx. 1,837

Sohanm99 · Answer

Official Explanation

Statement 1:  Fifteen of the 16 pieces sold. The eighth highest sale price is the median of the set of sale prices. This price is $1800.

Answer: No

If I have 16 different prices my median should be average of 8th highest and 9th highest selling price. Which is clearly 1850. Could not understand why you are saying it only the 8th highest selling price.

Bunuel · Answer

There are 16 pieces displayed, but only 15 pieces were sold. “Past Mast” is marked Not sold, so it has no sale price and is not included.

With 15 sale prices, the median is the single middle value, which is the 8th value when ordered.

That value is $1,800, so the statement is No.

Yes	No
		The median sale price among the piecesthat sold was $1850.
		If a piece sold for more than $2000, the probability that it was by Masterson was 33%.
		Works on canvas sold for a higher average price than did works on paper.

A gallery displayed and sold works of art by five different artists.

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Piece	Artist	Material	Sale Price ($)
Alley	Brooks	Watercolor on Paper	3100
Conspire	Alenka	Ink on Paper	1300
Flop	Masterson	Acrylic Paint on Canvas	1900
Guarrny	Brooks	Acrylic Paint on Canvas	1700
Inspire	Alenka	Chalk on Paper	1900
Monsoul	Brooks	Chalk on Paper	2200
Morgue	Masterson	Oil on Canvas	2300
Past Mast	Fabiano	Collage	Not sold
Perspire	Alenka	Chalk on Paper	1600
Sane	Masterson	Oil on Canvas	2100
Shuffle #2	Julien	Ink on Paper	1400
Shuffle #6	Julien	Ink on Paper	1400
Spear Lear	Julien	Acrylic Paint on Canvas	2500
Tender Mist	Fabiano	Watercolor on Paper	1800
Untitled #26	Julien	Collage	1700
Wispy Clouds	Fabiano	Acrylic Paint on Canvas	1400

GMAT Graphs and Tables (G&T) Questions

A gallery displayed and sold works of art by five different artists.

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