Bar Graph Questions

Students can access bar graph questions and answers to aid in their understanding of different types of bar graphs. Bar graphs, as we all know, are used to visually depict data from several categories using rectangular bars. We have offered a range of bar graph questions with detailed solutions to help you grasp the topic quickly. Click here to learn more about the bar graph.

Bar Graph Questions with Solutions

1. Consumers were polled about their favourite ice cream flavours in a survey. Draw a bar graph for the following data:

Solution:

From the given data, we can observe the following:

Generally, we can draw the bar graph using the frequencies of different flavours. They are:

The frequency of vanilla flavour – 16

The frequency of strawberry flavour – 5

The frequency of chocolate flavour – 12

The frequency of mint chocolate – 3

The frequency of other ice cream flavours – 6.

Now, draw the bar graph representing the different ice cream flavours on X-axis and frequencies on Y-axis.

Hence, the bar graph for the given data is drawn as follows:

2. The table below shows the favourite colour of 200 kids in a class.

(1) Using the information provided, create a bar graph.

(2) Which colour is the most preferred and which colour is the least preferred?

(3) How many kids chose red as their favourite colour?

Solution:

(1) First, we select an appropriate scale and begin at zero.

Because the data’s highest value is 50, we know that all of the bars will fall between 0 and 50, and we’ll choose a scale that keeps the length between 0 and 50.

For every 10 students, we take 1 unit. The graph is then drawn and labelled as seen in the figure.

(2) Because the bar representing blue colour is the tallest, blue is the most preferred colour.

Similarly, the bar representing green colour is the shortest; hence, green is the least preferred colour.

(3) From the given information, red was preferred by 45 students.

3. Examine the graph below carefully and answer the following questions. The graph depicts the results of a school’s students.

(a) Which year has the smallest difference between the number of kids who passed and those who failed?

(b) In the last five years, what was the average number of kids who failed in school?

(c) How many times have the same number of kids failed?

Solution:

(a) The number of pupils who passed versus those who failed for the respective years are given below:

1991-1992 = 150-100 = 50

1992-1993 = 200-100 = 100

1993-1994 = 300-50 = 250

1994-1995 = 250-100 = 150

As a result, the difference in 1991-1992 is minimal.

(b) From the bar graph, we can observe that.

The total number of students failed = 100 + 100 + 50 + 100 + 100 = 450

Hence, average = 450/5 = 90

(c) According to visual observation, the number of failed students in 1991-1992, 1992-1993, 1994-1995, and 1995-1996 is the same. As a result, the answer is four.

4. Observe the graph below and answer the following question:

What would be the ratio of the minimum actual production to maximum targeted production?

Solution:

It can be seen from the graph that the minimum actual production is 7 and the maximum targeted production is 10.

Therefore, the ratio between the minimum actual production to the maximum targeted production is 7:10.

Hence, the required ratio is 7:10

5. Examine the graph below carefully before answering the questions. The bar graph depicts yearly inflation in four countries (A, B, C, D) for the years 2015 and 2016.

Which country had lower inflation in 2016 than the previous year?

Solution:

From the given bar graph, it can be observed that:

Inflation in country C was lower in 2016 than it was in 2015.

Also, check:

• Line Graph
• Histogram
• Piechart

6. The table below displays the number of bicycles produced at a factory from 1998 to 2002.

(a) Create a bar graph to represent this information. Select your preferred scale.

(b) Which year had the greatest number of bicycles produced?

(c) Which year had the least number of bicycles produced?

Solution:

(a) The bar graph for the given information is as follows:

(b) The year 2002 is depicted by the bar with the highest height. As a result, the highest number of bikes, i.e., 1200, was sold in 2002.

(c) The year 1999 is illustrated by the bar with the shortest height. As a result, in 1999, a minimum of 600 cycles were sold.

7. The following table shows a student’s grades in various subjects.

From the provided data, create a bar graph on graph paper.

Solution:

When making the bar graph, the following steps are followed:

Step 1: Make a horizontal line OX and a vertical line OY on graph paper to represent the x and y-axes, respectively.

Step 2: Along OX, at regular intervals, write the names of the subjects.

Step 3: Decide on a scale: 1 mark = 1 small division

Step 4: Next, the various bars’ heights are:

• 73 in English
• 62 in Hindi
• 81 in Mathematics
• 54 in Science
• 68 in Social science

Step 5: At the positions highlighted in step 2, draw bars of equal width and height on the x-axis using the measurements obtained in step 4.

The resulting bar graph is as follows:

8. The bar graph below depicts the number of students in various classes at a school.

Answer the below questions using the bar graph provided.

(i) The total number of students in each class.

(ii) The overall number of students from grades 6 to 8.

(iii) The overall number of students from grades 1 to 8.

(iv) The number of students in a class on average.

Solution:

(i)

In Class 1, there are 100 students.

In Class 2, there are 90 students.

In Class 3, there are 100 students.

In Class 4, there are 80 students.

In Class 5, there are 120 students.

In Class 6, there are 90 students.

In Class 7, there are 70 students.

In Class 8, there are 50 students.

(ii) The overall number of students from grades 6 to 8:

= Students in class 6 + Students in class 7 + Students in class 8

= 90 + 70 + 50

= 210

The total number of students from class 6 to class 8 = 210

(iii) The overall number of students from class 1 to 8

= 100 + 90+ 100+ 80 + 120 +90 + 70 + 50

= 700 students

(iv) The number of students in a class on average

= Total number of students / Number of classes

= 700/8

= 87.5

9. Draw a bar graph using the information in the table below.

(i) Which of the letters A, B, C, D, E, and F has the highest value?

(ii) Which of the following is greater: A + D or B + E?

Solution:

The bar graph for the given data is shown below: Take the scale of 1 unit = 50 cm.

(i) Among the given letters (A, B, C, D, E, F), D has the maximum value of 350

(ii) From the given data, we can calculate the following:

A + D = 250 + 350

A + D = 600

B + E = 300 + 275

B + E = 575

Therefore, A + D is greater, when compared to B + E.

10. The following bar graph depicts the results of five students in an examination.

(a) Who scored the highest marks among the five students?

(b) Among the five students, who scored the same mark as Christina?

Solution:

(a) Jennifer scored the highest marks

(b) Catherine scored the same mark as Christina.

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Practice Questions

1. A poll of 36 students from one class was conducted to determine how they commute to school. The information gathered is summarised in the table below. Make a bar graph to represent the information.

Now answer the questions that have been presented to you.

(i) Name the graph appropriately.

(ii) Find the number of students who commute to school by walking.

(iii) What form of transportation do the majority of students use?

(iv) Determine the number of students who do not take the bus to school.

2. The table below shows the weekly sales of pencil boxes in a stationery store. Represent the given data in a bar graph using an appropriate scale.

(i) Create the bar graph’s title.

(ii) When did the most number of pencil boxes get sold?

(iii) If the merchant closes down his business for one extra day each week, which days would result in the least amount of sales loss and the most amount of sales loss?

3. In one week, the number of absentees in Class X was reported. Make a bar graph with this information.

(a) On which days were the most and least students absent?

(b) On Tuesday and Friday, how many students were absent?

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