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06 Dec 2023, 11:23
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Dropdown 1: 25 and 50
Dropdown 2: 440 to 460
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
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Question Stats:
49% (02:08) correct
51%
(02:26)
wrong
based on 2444
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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 .
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Official Answer
Dropdown 1: 25 and 50
Dropdown 2: 440 to 460
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06 Dec 2023, 11:57
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Explanation
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.
This question is relatively straightforward. So, we can get it correct and put some points on the board as long as we understand how the scatterplot works and make sure that we use the right information, in other words, the right point(s) on the graph, to answer each question.
The percent of the 65 education systems for which the value of M exceeds the value of R is between __________ percent.
Each point on the scatterplot is associated with two values, an M value and an R value. Since the line shows where the values are equal, any point to the left of the line has a higher R value than M value and any point to the right of the line has a higher M value than R value.
We know from the passage that there are 65 points in total. So, to find the percentage of education systems for which the value of M exceeds the value of R, we can simply count the points to the right of the line and divide the number we arrive at by 65.
Counting the points, we find that, even if we count points that are touching the line, we get a maximum of 26 points to the right of the line.
26/65 = .4 or 40 percent.
40 percent is between 25 and 50.
Select 25 and 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 __________.
To find the correct point on the graph for answering this question, we need to find the point that's farthest to the left of the point on the line at the same level, since the farther to the left of the line a point is, the greater the amount by which R exceeds M.
Scanning the graph for that point, we see that it lies at approximately M - 407, R - 444.
444 is between 440 and 460.
Select 440 and 460.
Correct Answer
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.
This question is relatively straightforward. So, we can get it correct and put some points on the board as long as we understand how the scatterplot works and make sure that we use the right information, in other words, the right point(s) on the graph, to answer each question.
The percent of the 65 education systems for which the value of M exceeds the value of R is between __________ percent.
Each point on the scatterplot is associated with two values, an M value and an R value. Since the line shows where the values are equal, any point to the left of the line has a higher R value than M value and any point to the right of the line has a higher M value than R value.
We know from the passage that there are 65 points in total. So, to find the percentage of education systems for which the value of M exceeds the value of R, we can simply count the points to the right of the line and divide the number we arrive at by 65.
Counting the points, we find that, even if we count points that are touching the line, we get a maximum of 26 points to the right of the line.
26/65 = .4 or 40 percent.
40 percent is between 25 and 50.
Select 25 and 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 __________.
To find the correct point on the graph for answering this question, we need to find the point that's farthest to the left of the point on the line at the same level, since the farther to the left of the line a point is, the greater the amount by which R exceeds M.
Scanning the graph for that point, we see that it lies at approximately M - 407, R - 444.
444 is between 440 and 460.
Select 440 and 460.
Correct Answer
25 and 50, 440 and 460
07 Mar 2024, 05:56
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This question has so many learnings packed in it. As you watch this solution, pay close attention to the following learnings:
Apart from the above, it is important to stay completely focused while solving these questions since a slight distraction may lead to you marking the wrong answer despite doing all the hard work.
- One does not need to read the exact values from the chart to answer the question.
- One needs to visualize what Math Score > Reading Score means in relation to the chart and vice versa, what Math Score < Reading Score means.
- One needs to actually count the number of points that meet the criteria that we visualize. Doing estimation will NOT work here. Again – we are not reading the exact values but we are counting the exact number of data points.
Apart from the above, it is important to stay completely focused while solving these questions since a slight distraction may lead to you marking the wrong answer despite doing all the hard work.
General Discussion
