Solved Examples and Worksheet for Constructing Bar Graphs

Q1Holly has a collection of Frisbees. Which bar graph correctly represents the number of Frisbees, if the Frisbees are sorted based on their color?


A. Graph 4
B. Graph 2
C. Graph 3
D. Graph 1

Solutions
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Step: 1
Red Frisbees - 6
Green Frisbees - 6
Yellow Frisbees - 4
  [Sort the Frisbees based on their color.]
Step: 2
Match the list with the graphs shown.
Step: 3
We find that Graph 1 represents the data correctly.
Correct Answer is :   Graph 1
Q2The temperature recorded on April 30th in Tennessee, Illinois, Alaska, and Michigan are 50°F, 40°F, 60°F, and 60°F respectively. Identify the bar graph that best represents the data correctly.

A. Graph 4
B. Graph 1
C. Graph 3
D. Graph 2

Solutions
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Step: 1
Match the values given with each graph shown.
Step: 2
We find that the given values match with Graph 3.
Step: 3
So, Graph 3 represents the data correctly.
Correct Answer is :   Graph 3
Q3The points three students scored in a math test are 23, 23, and 19. Identify an appropriate bar graph that represents the data correctly.


A. Graph 1
B. Graph 2
C. Graph 3
D. Graph 4

Solutions
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Step: 1
The height of each bar in the graph is a measure of the score of the particular student in the math test.
Step: 2
Compare the heights of the bars in each bar graph shown, with the values given in the question.
Step: 3
We find that the height of the bars in Graph 3 match with the values given in the question.
Step: 4
So, Graph 3 represents the data correctly.
Correct Answer is :   Graph 3
Q4Sidney purchased 7 apples, 6 oranges, 8 pears, and 4 peaches. Which bar graph represents the data correctly?


A. Graph 2
B. Graph 4
C. Graph 1
D. Graph 3

Solutions
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Step: 1
The horizontal axis in the graph represents the name of the fruit and the vertical axis represents the number of fruits purchased.
Step: 2
The height of each bar indicates the number of fruits purchased corresponding to each fruit name.
Step: 3
Compare the heights of the bars in the graphs to match with the values given.
Step: 4
It can be observed that the heights of the bars in Graph 2 match with the values.
Step: 5
So, Graph 2 represents the data correctly.
Correct Answer is :   Graph 2
Q5In a class, 10 students like potatoes, 6 like radish, 12 like carrot and 12 like capsicum. Which of the graphs shows the data correctly?

A. Graph 2
B. Graph 1
C. Graph 3
D. Graph 4

Solutions
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Step: 1
Graph 4 represents the data that 10 students like potato, 6 like radish, 12 like carrot and 12 like capsicum.
Step: 2
So, Graph 4 is the correct answer.
Correct Answer is :   Graph 4
Q6Olga while looking through the dolls in a shop, observed a set of dolls that looked alike but had different hair color as shown. Which of the following bar graphs represents the data?


A. Graph -3
B. Graph -4
C. Graph-1
D. Graph-2

Solutions
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Step: 1
The figure consists of set of dolls having different hair colors.
Step: 2
Counting dolls based on their hair color.
Step: 3
Black color hair - 6
Red color hair - 2
Brown color hair - 4
Orange color hair - 4
Step: 4
Graph-3 represents the data correctly.
Correct Answer is :   Graph -3
Q7Which bar graph correctly represents the number of marbles shown in the picture?


A. Graph 3
B. Graph 4
C. Graph 2
D. Graph 1

Solutions
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Step: 1
Number of blue marbles = 4
Number of green marbles = 5
Number of yellow marbles = 3
Step: 2
So, Graph 4 represents the data correctly.
Correct Answer is :   Graph 4
Q8The points three students scored on a math test are 23, 23, and 19. Identify an appropriate bar graph that represents the data correctly.


A. Graph 1
B. Graph 2
C. Graph 3
D. Graph 4

Solutions
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Step: 1
The height of each bar in the graph is a measure of the score of the particular student on the math test.
Step: 2
Compare the heights of the bars in each bar graph shown, with the values given in the question.
Step: 3
We find that the height of the bars in Graph 3 match with the values given in the question.
Step: 4
So, Graph 3 represents the data correctly.
Correct Answer is :   Graph 3
Q9Choose the bar graph that shows the correct number of teddies and cars.

A. Figure 4
B. Figure 2
C. Figure 1
D. Figure 3

Solutions
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Step: 1
Number of teddies - 5
Number of cars - 4
Step: 2
Match the list with the graphs shown.
Step: 3
We find that Figure 1 represents the data correctly.
Correct Answer is :   Figure 1
Q10Identify the correct bar graph.

A. Figure 1
B. Figure 4
C. Figure 2

Solutions
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Step: 1
From the given figure, number of roses = 3.
Step: 2
Number of daisies = 5.
Step: 3
Compare the information in steps 1 and 2 with the given pictographs and check which figure matches the data correctly.
Step: 4
So, Figure 2 represents the data correctly.
Correct Answer is :   Figure 2
Q11Carol made different colors of flags as shown in the figure. Choose the appropriate bar graph for the data.


A. Graph 1
B. Graph 2
C. Graph 3

Solutions
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Step: 1
Number of blue color flags - 3
Number of red color flags - 1
Number of green color flags - 3
Number of yellow color flags - 4
  [Sort the flags based on their color.]
Step: 2
Match the list with the graphs shown.
Step: 3
We find that Graph 2 represents the data correctly.
Correct Answer is :   Graph 2
Q12Frank, Nichole, Phil, and Lisa were practicing basketball and each of them were given ten chances. Their scores were recorded in a table as shown.
NamesScores
Frank7
Nichole9
Phil3
Lisa6

Which bar graph represents their scores?

A. Graph 1
B. Graph 2
C. Graph 3

Solutions
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Step: 1
The height of each bar in the graph is a measure of the points scored by the particular player in the basketball match.
Step: 2
Compare the heights of the bars in each bar graph shown, with the values given in the table.
Step: 3
We find that the height of the bars in Graph 1 match with the values given in the table.
Step: 4
So, Graph 1 represents the data correctly.
Correct Answer is :   Graph 1
Q13In a week, Eric read 5 books, Lisa read 3 books, Mac read 6 books, and Carol read 4 books. Which graph represents the data?

A. Graph 2
B. Graph 1
C. Graph 3

Solutions
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Step: 1
The horizontal axis in the graph represents the name of the person and the vertical axis represents the number of books read by each person.
Step: 2
The height of each bar indicates the number of books that each person read.
Step: 3
Compare the heights of the bars in the graphs to match with the values given.
Step: 4
It can be observed that the heights of the bars in Graph 3 match with the values.
Step: 5
So, Graph 3 correctly represents the data.
Correct Answer is :   Graph 3
Q14In a class, 6 students celebrate their birthdays in May, 9 in June, and 4 in July. Which of the following graphs represents the data correctly ?


A. Graph 2
B. Graph 3
C. Graph 1
D. Graph 4

Solutions
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Step: 1
The horizontal axis in the graph represents the month and the vertical axis represents the number of students.
Step: 2
The height of each bar in the graph represents the number of students celebrating their birthday in that particular month.
Step: 3
Compare the heights of the bars in the graphs to match with the values given.
Step: 4
It can be observed that the heights of the bars in Graph 4 match with the values.
Step: 5
So, Graph 4 represents the data correctly.
Correct Answer is :   Graph 4
Q15The table shows the favorite cake flavors of 19 students. Choose the appropriate bar graph.
Cake flavorNumber of students
Chocolate4
Strawberry6
Carrot4
Vanilla5



A. Graph 3
B. Graph 2
C. Graph 1
D. Graph 4

Solutions
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Step: 1
The horizontal axis in the graph represents the name of the cake flavor and the vertical axis represents the number of students.
Step: 2
The height of each bar indicates the number of students corresponding to eachcake flavor.
Step: 3
Compare the heights of the bars in the graphs to match with the values given in the table.
Step: 4
It can be observed that the heights of the bars in Graph 4 match with the values.
Step: 5
So, Graph 4 represents the data correctly.
Correct Answer is :   Graph 4

HighSchool Math