Four greenhouses each conducted eight controlled trials. For every tri

Question

https://gmatclub.com/forum/download/file.php?id=85808 Four greenhouses each conducted eight controlled trials. For every trial, researchers recorded the daily sunlight exposure (in hours) and the corresponding yield of Crop X (in kilograms). The data are summarized in the graph. Select from each drop-down menu the option that creates the most accurate statement based on the information provided. The greenhouse with the greatest range of recorded yields was GRAPH_1_PLACEHOLDER . The greenhouse with the greatest median recorded yield was GRAPH_2_PLACEHOLDER . GMAT-Club-Forum-qvl77d6v.png

Bunuel · Accepted Answer

Drop-down 1:

The range is defined as the difference between the highest and lowest values. By scanning the graph, we can see that Greenhouse A’s points span from about 250 up to about 1350, which is a larger gap than the others.

Answer:  Greenhouse A

Drop-down 2:

The median is the middle value when ordered, or for 8 values, the average of the 4th and 5th largest.

Greenhouse A: 4th and 5th yields are both around 700, so the median is about 700 
 Greenhouse B: 4th is about 1000 and 5th a bit above 1000, so the median is slightly above 1000 
 Greenhouse C: 4th is about 600 and 5th a bit below 800, so the median is slightly below 700 
 Greenhouse D: 4th is just below 600 and 5th just above 800, so the median is about 700

Thus, the greatest median belongs to Greenhouse B.

Answer:  Greenhouse B

I29-50

findingmyself · Answer

The greenhouse with the greatest range of recorded yields was:  Greenhouse A since it has the greatest value as well as the lowest value among 8 yields recorded. greatest being 1400 and lowest is somewhere close to 200 .
 
The greenhouse with the greatest median recorded yield was :Median is between 4th and 5th value.  The greatest median will be for the house with greatest difference in 4th and 5th value. The greatest diff is for greenhouse D with approximately 200Kg

svsivakrishna · Answer

Statement 1: The greenhouse with greatest range of recorded yields: Upon observing the graph, the blue triangles,  (green house A)  has the widest range roughly from 200 to 1400.

Statement 2: The greenhouse with the greatest median recorded yielded is : Since, there are a total of 8 values, the greatest median will be for the house with the greatest sum of 4th and 5th values (when considered in increasing order). Upon observing, The red dots  (greenhouse B)  has the highest valves for 4th and 5th readings.

Elite097 · Answer

Greenhouse A has the highest and lowest yield value hence highest range

Greenhouse B has highest median as its 4th and 5th values are higher than others

Dereno · Answer

Question 1:

The Greenhouse with the GREATEST range of recorded yields is

GH A  = (1380-220) =  1160.

GH B = (1300 - 400) = 900.

GH C = (380 - 1380) = 1000.

GH D = (1240 - 400) = 840.

Hence,  GREEN HOUSE A.

Question 2:

The Greenhouse with the Greatest median value is :

There are totally 8 values for each Greenhouse. Then, the median is (4th + 5th)/2 .

GH A has value of approximately 700.

GH B has value of approximately around 1100.

GH C has value of approximately around 700.

GH D has value of approximately around 750.

So, the answer is GH B.

Zen705 · Answer

Can someone please explain how median is calculated for all the greenhouse based on the graph, I can't understand how median for greenhouse A is 700 which points are considered

Bunuel · Answer

For each greenhouse we have 8 values (an even number). The median of an even set is the average of the two middle values, meaning the 4th and 5th when sorted.

So we look at the 4th and 5th yields for each greenhouse. For example, in Greenhouse A both the 4th and 5th values are around 700, so the median is about 700. The same process is applied to the other greenhouses. Please see the official solution for the other medians and comparison.

Four greenhouses each conducted eight controlled trials. For every tri

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