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Hello. A point in the range 400-420 seems to have a greater difference, or no?
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I guess ‘exceeds’ is the reason why 440-460 is right.

Had it been maximum difference the 420-440 is close contender.

macgmat
Hello. A point in the range 400-420 seems to have a greater difference, or no?

Posted from my mobile device
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Can someone help me understand how to solve the part 2? According to me, the point lying between 400-420 (for M) and 440-460 (for R) seems the furthest to the left of the M=R line..
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Can someone help me understand how to solve the part 2? According to me, the point lying between 400-420 (for M) and 440-460 (for R) seems the furthest to the left of the M=R line..

Part 2 is asking for where the point is on R [y axis], not where on M [x axis].
400-420 is where the point is on M [I got this wrong too]. 440-460 is where the point is on R.
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­Is it possible to see a breakdown of what percentage of students chose what answer for this question? I'm hoping to see how many students fell for the trap answer on part 2 of the question.
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parkhydel


Students in 65 education systems worldwide took a global exam in reading, science, and mathematics. On the scatterplot, each of the 65 data points displays the average mathematics score (M) and the average reading score (R), both rounded to the nearest integer, for one of the education systems. The line represents all points where M and R are equal.

Based on the information provided, select from each drop-down menu the option that creates the most accurate statement.

The percent of the 65 education systems for which the value of M exceeds the value of R is between percent.

The value of R exceeds the value of M by the greatest amount for the education system for which the value of R is in the interval from .

Attachment:
The attachment 12.jpg is no longer available
­The graph gives information on 65 education systems through 65 points on the graph. Each point shows avg Math score on x axis and avg reading score on y axis. Look at the rightmost point. It shows that this education system has avg Math score of about 612 and avg Reading score of about 570.
A point lying on the line has equal Math and Reading scores.

The percent of the 65 education systems for which the value of M exceeds the value of R is between ___

When M > R, it means the point is further along the x axis but did not rise equally along the y axis. So these points will be below the line. A rough count shows up that they are about 27 so between 25 to 50% of 65.

ANSWER: 25 to 50%

The value of R exceeds the value of M by the greatest amount for the education system for which the value of R is in the interval from

When R exceeds M, it means the point has risen morw along the y axis but not as much along the x axis. So the point above the line farthest from the line is our point of interest.
Attachment:
Screenshot 2024-04-09 at 12.52.16 PM.png
Screenshot 2024-04-09 at 12.52.16 PM.png [ 610.75 KiB | Viewed 22120 times ]
It lies betweenn 440 and 460 on the y axis - the reading scale. Yes, a trap here. Many people would select 400 - 420 because we are used to reading the x axis more intuitively.

ANSWER: 440 - 460

IMPORTANT
to read exactly what is given and what is asked. Easier said than done under time constraints, I agree!­
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parkhydel


Students in 65 education systems worldwide took a global exam in reading, science, and mathematics. On the scatterplot, each of the 65 data points displays the average mathematics score (M) and the average reading score (R), both rounded to the nearest integer, for one of the education systems. The line represents all points where M and R are equal.

Based on the information provided, select from each drop-down menu the option that creates the most accurate statement.

The percent of the 65 education systems for which the value of M exceeds the value of R is between percent.

The value of R exceeds the value of M by the greatest amount for the education system for which the value of R is in the interval from .

Attachment:
12.jpg
­The hihglighted part must be "for the 65 education systems" I understand it is a GMATPREP question, but they have constructed it poorly.­
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3Weeks&ADrean

Fiji2000
Can someone help me understand how to solve the part 2? According to me, the point lying between 400-420 (for M) and 440-460 (for R) seems the furthest to the left of the M=R line..
Part 2 is asking for where the point is on R [y axis], not where on M [x axis].
400-420 is where the point is on M [I got this wrong too]. 440-460 is where the point is on R.
You're right, I just realized after seeing your explanation... I got this wrong too. This is so tricky.
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chetan2u how to determine for which interval (400-420 / 440-460) it is maximum ?
parkhydel


Students in 65 education systems worldwide took a global exam in reading, science, and mathematics. On the scatterplot, each of the 65 data points displays the average mathematics score (M) and the average reading score (R), both rounded to the nearest integer, for one of the education systems. The line represents all points where M and R are equal.

Based on the information provided, select from each drop-down menu the option that creates the most accurate statement.

The percent of the 65 education systems for which the value of M exceeds the value of R is between percent.

The value of R exceeds the value of M by the greatest amount for the education system for which the value of R is in the interval from .

Attachment:
12.jpg
­
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It does, but that's the range of M's value. Check the range of R's corresponding value.
macgmat
Hello. A point in the range 400-420 seems to have a greater difference, or no?
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Fiji2000
Can someone help me understand how to solve the part 2? According to me, the point lying between 400-420 (for M) and 440-460 (for R) seems the furthest to the left of the M=R line..
This is just my personal opinion, for reference
We can observe that the equation of this line is r=m, that is, r-m=0
Assume (M, R) is any point in the figure
Then the distance from this point to the line is |R-M|/√2
And the question asks us to find the maximum value of R-M, which actually means that we need to find a point farthest from the line when R>M, that is, the upper left of the line

I hope this can help you
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GMATCoachBen could you please solve this?
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