I29-158

Question

https://gmatclub.com/gmat-focus-tests/resources/import/img/I29-58.png 
 
The graph provides data on coffee bean production by the top 12 farms and all other producers combined in the Andean Valley in 2022.
 
Select from each drop-down menu the option that creates the most accurate statement based on the information provided.

For the top 12 coffee-producing farms in 2022, the  GRAPH_1_PLACEHOLDER  of the given production volumes was greater than the production of exactly half of these 12 farms.

In 2022, the combined production of the three largest farms was  GRAPH_2_PLACEHOLDER  the production of the farm ranked 13th in size.

Bunuel · Answer

Official Solution:

Dropdown 1: 
 
The median of 12 values is the middle value, which is the average of the 6th and 7th. Here those are 750 and 700. Since these two values are not the same, the median must fall between them, and by definition it will be greater than the lower half of the values. So the median = (750 + 700)/2 = 725, which is greater than exactly six of the farms.
 
Why the others are wrong?
 
Mode is not correct because all values are distinct and the mode does not exist.
 
Range = 1200 − 500 = 700, which is greater than only five farms and equal to one, not strictly greater than half.
 
Standard deviation is not correct: the values lie between 500 and 1200, are fairly spread out, and the deviation will be well below 700, so it cannot be greater than half of the values.
 
 Dropdown 2: 
 
The combined production of the three largest farms is 1200 + 920 + 890 = 3010. The 13th largest farm must have production less than 500, because the 12th is 500. Even if the 13th were equal to 500, the ratio would be 3010/500, which is more than 6. Hence the correct choice is more than 6 times.

Correct answer:

Dropdown 1:  "median"

Dropdown 2:  "more than 6 times"

nehalG15 · Answer

Why are we considering the farm with the highest production also the farm with the largest area?

Bunuel · Answer

“Largest” means highest production here, not land area. The graph has no area data.

KuntalPatel · Answer

I like the solution - it’s helpful.

MotivatedGuy · Answer

I like the solution - it’s helpful.

confusedchild · Answer

I did not quite understand the solution. Why does the 13th farm have to be less than 500? Is it because the graph shows data of top productions in order, and 12th is 500, so next in order has to be less than 500?

Bunuel · Answer

Yes. Since the graph shows the top 12 farms in decreasing order, the 13th-ranked farm cannot produce more than 500. It could possibly equal 500, but even then, 3010 is more than 6 times 500.

Check again the OE:

Dropdown 2: 
 
The combined production of the three largest farms is 1200 + 920 + 890 = 3010.  The 13th largest farm must have production less than 500, because the 12th is 500 . Even if the 13th were equal to 500, the ratio would be 3010/500, which is more than 6. Hence the correct choice is more than 6 times.

I29-158

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