Representing Data - GED Math
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The above bar graph compares exit examination scores from both 2012 and 2013 for the five high schools in a school district.
Which school saw the most improvement in its median math score between 2012 and 2013?
The above bar graph compares exit examination scores from both 2012 and 2013 for the five high schools in a school district.
Which school saw the most improvement in its median math score between 2012 and 2013?
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Wallace, Gerry, and Burr all saw improvement, as the bars representing their 2013 median scores are longer than the ones for 2012. A visual inspection shows that the greatest difference is between the two bars representing Wallace High, so Wallace is the correct choice.
Wallace, Gerry, and Burr all saw improvement, as the bars representing their 2013 median scores are longer than the ones for 2012. A visual inspection shows that the greatest difference is between the two bars representing Wallace High, so Wallace is the correct choice.
Refer to the above bar graph.
How many students at Polk Middle School scored higher than 600 on the math portion of the SCAT?
Refer to the above bar graph.
How many students at Polk Middle School scored higher than 600 on the math portion of the SCAT?
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The number of students who scored in the 601-700 range is 16; in the 701-800 range, 10. Add them to get 26 students total.
The number of students who scored in the 601-700 range is 16; in the 701-800 range, 10. Add them to get 26 students total.
Which question can be answered about Polk Middle School sixth graders' performance on the math portion of the SCAT by looking at the above bar graph?
Which question can be answered about Polk Middle School sixth graders' performance on the math portion of the SCAT by looking at the above bar graph?
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The graph only provides information about how many students scored in each range (201-300, 301-400, etc.) on the test; it provides no information about the mean, median, or mode. The only question that can be answered is the number of students total who took the test - this can be answered by adding the numbers on top of the bars.
The graph only provides information about how many students scored in each range (201-300, 301-400, etc.) on the test; it provides no information about the mean, median, or mode. The only question that can be answered is the number of students total who took the test - this can be answered by adding the numbers on top of the bars.
Which question cannot be answered about Polk Middle School sixth graders' performance on the math portion of the SCAT by looking at the above bar graph?
Which question cannot be answered about Polk Middle School sixth graders' performance on the math portion of the SCAT by looking at the above bar graph?
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The lowest score is not indicated anywhere on the graph, so the question "What was the lowest score on the test?" is the one that cannot be answered. The other three can be determined, in part or completely, by adding the number of students in one or more ranges, and in two cases, also adding the number of students total.
The lowest score is not indicated anywhere on the graph, so the question "What was the lowest score on the test?" is the one that cannot be answered. The other three can be determined, in part or completely, by adding the number of students in one or more ranges, and in two cases, also adding the number of students total.
The above represents the results of a student council election at Jefferson High. According to the results, the top three finishers will be awarded seats on the student council.
Which two did not win a seat on the student council?
The above represents the results of a student council election at Jefferson High. According to the results, the top three finishers will be awarded seats on the student council.
Which two did not win a seat on the student council?
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The wedges, in descending order by size, are those representing Hall, Lamont, Johns, Franklin, Carson. Hall, Lamont, and Johns were elected to the student council, so the correct choice is Franklin and Carson.
The wedges, in descending order by size, are those representing Hall, Lamont, Johns, Franklin, Carson. Hall, Lamont, and Johns were elected to the student council, so the correct choice is Franklin and Carson.
A school district includes five high schools - Burr, Colfax, Garner, Gerry, and Wallace. Seniors at all five high schools took the California state high school exit examination this year - the results are reflected in the above bar graph.
Which of the following questions cannot be answered about the math scores of the five schools by examining the above graph?
A school district includes five high schools - Burr, Colfax, Garner, Gerry, and Wallace. Seniors at all five high schools took the California state high school exit examination this year - the results are reflected in the above bar graph.
Which of the following questions cannot be answered about the math scores of the five schools by examining the above graph?
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The question "Of the five schools, which school's median score improved the most from last year?" requires knowledge of last year's median math scores, which are not given by the graph. The other three questions only require knowledge of this year's scores, which are given.
The question "Of the five schools, which school's median score improved the most from last year?" requires knowledge of last year's median math scores, which are not given by the graph. The other three questions only require knowledge of this year's scores, which are given.
Refer to the above bar graph.
Three cousins took this examination this year- Carlos scored 67, Alberto scored 70, and Julio scored 71. All three attended the same high school and all three scored below the median for their school. Which of the following high schools could they have attended?
Refer to the above bar graph.
Three cousins took this examination this year- Carlos scored 67, Alberto scored 70, and Julio scored 71. All three attended the same high school and all three scored below the median for their school. Which of the following high schools could they have attended?
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Julio scored the highest of the three with 71, so we are looking for a high school whose median score was above 71. Of the four choices, only Garner fits this criterion.
Julio scored the highest of the three with 71, so we are looking for a high school whose median score was above 71. Of the four choices, only Garner fits this criterion.
Refer to the above bar graph. The exit examination was given to all high school seniors in the above five schools.
Juanita attended Wallace High School and scored a 75 on the math portion. Wallace High School had 188 seniors take the examination. How many seniors could Juanitia have conceivably outscored?
Refer to the above bar graph. The exit examination was given to all high school seniors in the above five schools.
Juanita attended Wallace High School and scored a 75 on the math portion. Wallace High School had 188 seniors take the examination. How many seniors could Juanitia have conceivably outscored?
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The median score at Wallace was 69, so Juanita scored above the median. By definition, she outscored at least half the seniors, which means that she must have outscored at least 
of them. The correct response must be greater than or equal to 94, and the only choice that fits that criterion is 105.
The median score at Wallace was 69, so Juanita scored above the median. By definition, she outscored at least half the seniors, which means that she must have outscored at least
The above bar graph compares the median math scores from both 2012 and 2013 for an examination administered in the five high schools of a school district.
How many of the five schools did not see their median math score reach at least 70 in either 2012 or 2013?
The above bar graph compares the median math scores from both 2012 and 2013 for an examination administered in the five high schools of a school district.
How many of the five schools did not see their median math score reach at least 70 in either 2012 or 2013?
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Of the five schools, only Burr had median scores below 70 in both 2012 and 2013. The correct choice is "one".
Of the five schools, only Burr had median scores below 70 in both 2012 and 2013. The correct choice is "one".
Refer to the above bar graph.
What percent of the students achieved a score above 500?
Refer to the above bar graph.
What percent of the students achieved a score above 500?
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40 students achieved a score of 501-600; 16 achieved a score of 601-700; 10 achieved a score of 701-800. Add these:
The number of students who took the test is the sum of the students who finished in the six ranges:
The question is now to find out what percent 66 is of 120, which can be calculated as follows:
40 students achieved a score of 501-600; 16 achieved a score of 601-700; 10 achieved a score of 701-800. Add these:
The number of students who took the test is the sum of the students who finished in the six ranges:
The question is now to find out what percent 66 is of 120, which can be calculated as follows:
Refer to the above graph. Clarissa, a sixth grader at Polk, scored a 673 on the math portion of the SCAT. Which of the following could have been her rank among the students?
Refer to the above graph. Clarissa, a sixth grader at Polk, scored a 673 on the math portion of the SCAT. Which of the following could have been her rank among the students?
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By making a 673, Clarissa finished in the second-highest range shown (601-700). She was outscored by at least 10 students (the ones in the 701-800 range), but by at most 25 students (the 10 in the 701-800 range plus the other 15 in the 601-700 range). She finished between 11th and 26th, inclusive, so the only plausible choice is 14th.
By making a 673, Clarissa finished in the second-highest range shown (601-700). She was outscored by at least 10 students (the ones in the 701-800 range), but by at most 25 students (the 10 in the 701-800 range plus the other 15 in the 601-700 range). She finished between 11th and 26th, inclusive, so the only plausible choice is 14th.
Refer to the above graph. Yasmin, a sixth grader at Polk, outscored 89 of the students who took the test. Which of these could her score have been?
Refer to the above graph. Yasmin, a sixth grader at Polk, outscored 89 of the students who took the test. Which of these could her score have been?
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students achieved scores between 200 and 500, and Yasmin outscored all of them.
students achieved scores between 200 and 600, but Yasmin did not outscore all of them.
Her score fell in the range between 501 and 600, so of the four choices, the only plausible score was 565.
Her score fell in the range between 501 and 600, so of the four choices, the only plausible score was 565.
Use the following bar graph to answer the question:
How many students are in Art class?
Use the following bar graph to answer the question:
How many students are in Art class?
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Let's look at the bar graph.
The bottom of the bar graph lists the different classes. The height of each bar displays a quantity that matches up with the scale on the left side. This quantity represents the number of students in that class.
You can either use the left scale to determine the number of students, or you can see the quantities posted on each bar.
So, we will find the bar that corresponds to Art class. We can see it is the 3rd class listed. Now, we can see that bar goes up to 21.
Therefore, the number of students in Art class is 21.
Let's look at the bar graph.
The bottom of the bar graph lists the different classes. The height of each bar displays a quantity that matches up with the scale on the left side. This quantity represents the number of students in that class.
You can either use the left scale to determine the number of students, or you can see the quantities posted on each bar.
So, we will find the bar that corresponds to Art class. We can see it is the 3rd class listed. Now, we can see that bar goes up to 21.
Therefore, the number of students in Art class is 21.
Refer to the above circle graph.
To the nearest whole percent, what percent of the students voted for the most popular candidate?
Refer to the above circle graph.
To the nearest whole percent, what percent of the students voted for the most popular candidate?
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The highest vote-getter was Zimmerman, who got 512 votes; this is the part. The whole is the number of persons who voted, which is the sum:
The percent can be found by calculating:
The highest vote-getter was Zimmerman, who got 512 votes; this is the part. The whole is the number of persons who voted, which is the sum:
The percent can be found by calculating:
Use the following bar graph to answer the question:
Approximately, how many enrollments were there in April?
Use the following bar graph to answer the question:
Approximately, how many enrollments were there in April?
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Let's look at the bar graph.
We can see the months are listed along the bottom axis. We can also see the scale on the left ranges from 0 to 25. These numbers represent the number of enrollments.
Now, to find the approximate number of enrollments for April, we will first find April. We can see it is the last month listed.
Now, we can see the value of the bar is between 20 and 25. We can also see that it is fairly close to 20.
Therefore, we can approximate the number of enrollments for April is 21.
Let's look at the bar graph.
We can see the months are listed along the bottom axis. We can also see the scale on the left ranges from 0 to 25. These numbers represent the number of enrollments.
Now, to find the approximate number of enrollments for April, we will first find April. We can see it is the last month listed.
Now, we can see the value of the bar is between 20 and 25. We can also see that it is fairly close to 20.
Therefore, we can approximate the number of enrollments for April is 21.
Use the following bar graph to answer the question:
How many more people like cheese than pepperoni?
Use the following bar graph to answer the question:
How many more people like cheese than pepperoni?
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Let's look at the bar graph.
We can see the different pizza toppings on listed on the bottom. We can also see the number of people who like a specific pizza topping is shown on the bar.
Now, we want to find how many more people like cheese than pepperoni. To d that, we need to find the difference of those who like cheese and those who like pepperoni.
So, we can see cheese is the last topping listed. It shows 48 people. We can see pepperoni is the first topping listed. It shows 26 people like it.
Now, we will find the difference. We get
Therefore, 22 more people like cheese than pepperoni.
Let's look at the bar graph.
We can see the different pizza toppings on listed on the bottom. We can also see the number of people who like a specific pizza topping is shown on the bar.
Now, we want to find how many more people like cheese than pepperoni. To d that, we need to find the difference of those who like cheese and those who like pepperoni.
So, we can see cheese is the last topping listed. It shows 48 people. We can see pepperoni is the first topping listed. It shows 26 people like it.
Now, we will find the difference. We get
Therefore, 22 more people like cheese than pepperoni.
Use the following bar graph to answer the question:
How many students are in the largest class?
Use the following bar graph to answer the question:
How many students are in the largest class?
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Let's look at the bar graph
To find the number of students in the largest class, we will essentially be looking at the class with the most students (or the class with the tallest bar).
We can see the class with the tallest bar is Art. We can see it has 31 students.
Therefore, the largest class has 31 students.
Let's look at the bar graph
To find the number of students in the largest class, we will essentially be looking at the class with the most students (or the class with the tallest bar).
We can see the class with the tallest bar is Art. We can see it has 31 students.
Therefore, the largest class has 31 students.
Use the following bar graph to answer the question:
What is the difference of 12th grade enrollments from the year 2012 to the year 2015?
Use the following bar graph to answer the question:
What is the difference of 12th grade enrollments from the year 2012 to the year 2015?
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Let's look at the graph:
We can see the bars represent the number of enrollments in the 12th grade for different years.
To find the difference of enrollments from 2012 to 2015, we will first find the number of enrollments from those years, then we will subtract them.
So, we can see the number of enrollments in 2012 was 89. We can see the number of enrollments in 2015 was 148. Now, we subtract. We get
Therefore, the difference of 12th grade enrollments from 2012 to 2015 is 59.
Let's look at the graph:
We can see the bars represent the number of enrollments in the 12th grade for different years.
To find the difference of enrollments from 2012 to 2015, we will first find the number of enrollments from those years, then we will subtract them.
So, we can see the number of enrollments in 2012 was 89. We can see the number of enrollments in 2015 was 148. Now, we subtract. We get
Therefore, the difference of 12th grade enrollments from 2012 to 2015 is 59.
Use the following bar graph to answer the question:
Which year had the most enrollments?
Use the following bar graph to answer the question:
Which year had the most enrollments?
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Let's look at the graph.
To find the year with the most enrollments, we will find the year that has the tallest bar.
We can see the tallest bar shows 152 enrollments. It corresponds to the year 2016.
Therefore, the year with the most enrollments is 2016.
Let's look at the graph.
To find the year with the most enrollments, we will find the year that has the tallest bar.
We can see the tallest bar shows 152 enrollments. It corresponds to the year 2016.
Therefore, the year with the most enrollments is 2016.
A class of 
students was surveyed to see how many pets each student's family owned. The results were then graphed as shown below.
How many total pets are owned by the students in the class?
A class of
How many total pets are owned by the students in the class?
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From the graph, we can see that 
students do not have any pets.
We can see that 
students have just one pet. From these students, the class has 
pets.
Next, notice that 
students have 
pets. From these students, the class has 
pets.
Next, 
students have 
pets. From these students, the class has 
pets.
Then, 
students have 
pets. From these students, the class has 
pets.
Finally, 
students have 
pets. From these students, the class has 
pets.
To find the total number of pets owned by the students, add these values together:
From the graph, we can see that
We can see that
Next, notice that
Next,
Then,
Finally,
To find the total number of pets owned by the students, add these values together: