case study questions on bar graph

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Bar Graph Questions with Solutions

A bar graph is a visual presentation of data using rectangular bars. The bars can be vertical or horizontal, and their lengths are proportional to the data they represent. Bar graphs can compare items or show how something changes over time. Bar graphs are also known as bar charts or bar diagrams.

In this article, we will discuss what is bar graph, its properties and practice questions on it.

Table of Content

What is a Bar Graph?

Properties of bar graph, practice questions on bar graph.

A bar graph is used to visually represent data from several categories using rectangular bars. It is used to compare values from different categories. Each bar represents a category of value, and the size of the bar represents the value or frequency of the category it corresponds to. Bar graphs can be drawn horizontally or vertically or in the grouped form. A bar graph makes data look tidy, organised and easy to understand. It also makes it simple to compare different pieces of information.

The properties of the bar graph are mentioned below:

• Every bar graph has a uniform width which is used to analyze data according to different points.
• It can be either horizontal or vertical.
• Every bar graph has two axes, one for the Graph and the other for the quantity of the data.
• The graph shows the comparison of data over a particular time.

Q1. Study the following graph and answer the questions carefully:

The difference of number of students passed to those failed is minimum in which year?

Studying the Bar Graph Difference between the number of students passed to failed for 1991- 92 = 150-100 = 50 1992- 93 = 200-100 = 100 1993- 94 = 300-50 = 250 1994- 95 = 250-100 = 150 The difference is minimum for 1991-92

Q2. What is an approximate percentage of students failed during 5 years?

In the year, 1991-92 Passed = 150, Failed = 100 1992-93 Passed = 200, Failed = 100 1993-94 Passed = 300, Failed = 50 1994-95 Passed = 250, Failed = 100 1995-96 Passed = 300, Failed = 100 Required % = Total number of passed students / Total number of failed students = (100 + 100 + 50 + 100 + 100) / (250 + 300 + 350 + 350 + 400) = 450 / 1650 = 27.27% ≅ 27%

Q3. What is an average number of students failed in the school in last 5 years?

Total number of failed students = 100 + 100 + 50 + 100 + 100 = 450 Therefore, Required Average = 450/5 = 90

Q4. Study the following graph and answer the questions carefully:

In which of the years, the numeric difference in voters turnout (in percentage) was nearly equal to 5%?

In the year, 1957-62 Required Fluctuation = 62.2 – 55 = 7.2% In the year, 1984-89 Required Fluctuation = 64 – 62 = 2% In the year, 1996-98 Required Fluctuation = 61.97 – 57.9 = 4.07% In the year, 1971-77 Required Fluctuation = 60.5 – 55.3 = 5.2%, Therefore, Required Answer = 1971-77

Q5. Average voter turnout (in percentage) between 1952 to 1998 was approximately?

Average voter turnout between 1952-1998 is, = (61.2 + 62.2 + 55 + 61.3 + 55.3 + 60.5 + 56.9 + 64 + 62 + 61 + 57.9 + 61.97) / 12 = 59.93% ≈ 60%

Q6. In which year was the growth in the average voter turnout (in percentage) to be the second highest in comparison to the previous elections?

For the year 1967, growth from 55 to 61.3 is 6.3% For the year 1984, growth from 56.9 to 64 is 7.1% For the year 1998, growth from 57.9 to 61.97 is 4.07% For the year 1977, growth from 55.3 to 60.5 is 5.2% Therefore, For 1967 the average voter turn out to be the second highest in comparison to the previous elections.

Q7. Answer the following questions studying the Bar Graph added below:

• How many kids chose green as their favourite color?
• Which color is the most preferred and which color is the least preferred?

From the given information, green color is chosen by approximately 20 kids. The most preferred color is blue and the least preferred color is green.

Q8. The table below displays the number of bicycles produced at a factory from 1998 to 2001.

Create a bar graph to represent this information.

Bar graph is:

Q9. Read the bar graph below shows number of students in different classes at a school.

Answer the following questions:

Find the overall number of students from class 6 to 8.

Total number of students from class 6 to 8: = (Students in class 6 + Students in class 7 + Students in class 8) = (90 + 70 + 50) = 210

Q10. Number of students in a class on average.

Average Number of Students in a Class = (Total Number of Students) / (Number of Classes) = (100 + 90+ 100+ 80 + 120 +90 + 70 + 50)/8 = 700/8 = 87.5

Read the following table and and the following questions:

Q1. Draw a bar graph using the given information from the above table.

Q2. Which of the following is greater: A+D or B+E ?

A poll of 32 students from one class was conducted to determine how they commute to school.

Q3. Make a bar graph of the given information.

Q4. What form of transportation do the majority of students use?

Table below shows the weekly sales of pencil boxes in a stationery store.

Q5. Create the bar graph and its title.

Q6. What is the average number of pencil boxes sold ?

Q7. When did the most number of pencil boxes get sold?

N umber of bed-sheets manufactured by a factory during five consecutive weeks is given below.

Q8. Draw the bar graph using above information.

Number of absent students in class 8 was recorded in a particular week.

Q9. How many students were absent on Monday and Friday?

Q10. On which day the maximum and minimum number of students were absent?

Q11. Draw the bar graph.

Also Check:

Types of Bar Graph How to Make Bar Graph in Excel? How to Create Advanced Charts and Graphs in Excel?

FAQs on Bar Graph

What is the purpose of bar graph.

A bar chart is used when we want to show the distribution of particular data points or perform a comparison of metric values across different subgroups of the data. From a bar chart, we can see which groups are highest or most common, and how other groups compare against the others.

Who Invented the Bar Graph?

William Playfair , a Scottish engineer and political economist, in the late 18th century invented the bar graphs and pie charts.

What are Advantages of a Bar Graph?

Advantages of bar graph are as follows: Show each data category in a frequency distribution. Summarize a large data set in visual form. Clarify trends better than do tables.

How Many Types of Bar Graph are there?

The bars in bar graphs can be divided into: Horizontal Bar Graph Vertical Bar Graph Grouped Bar Graph

What is Limitation of a Bar Graph?

The most important limitation is the lack of degree of details. Only major activities are shown in bar graph and sub-activities can not be separated out through it, and also a bar graph does not show the progress of work. These are the main limitation of bar graph.

How Many Axis does a Bar Graph have?

A bar graph mainly have two axis, the x-axis and the y-axis. The x-axis runs horizontally and the y-axis runs vertically.

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Here you will learn about bar graphs, including constructing and interpreting bar graphs, and how to solve problems using information presented in the bar graph.

Students will first learn about bar graphs as part of measurement and data in the 2 nd grade. They will continue to build on that knowledge throughout elementary and middle school.

What is a bar graph?

A bar graph (bar chart) represents a data set by using vertical or horizontal bars. The larger the height of the bar, the higher the value for the individual category. Bar graphs provide a visualization of the value of the data being recorded.

To draw a bar graph you need the following:

• A pair of axes. Usually the horizontal axis (x -axis ) is labeled with the categories of the data set and the vertical axis (y -axis ) is the frequency. Your axes must be labeled.
• The frequencies need to be labeled on the vertical axis in equal intervals.
• The bars need to have equal gaps between them as it is representing discrete data.
• The bars need to be of equal width.
• The chart needs a title.

When bar graphs are represented vertically they are sometimes called column charts. Bar graphs can also be represented horizontally where the vertical axis represents each class and the horizontal axis repressents the frequency.

For example, the bar graph below represents people’s favorite color.

Vertical bar graph (vertical bar chart)

Horizontal bar graph (horizontal bar chart)

Discrete data can be counted and is described as numerical or categorical data (categorical variable).

The data is discrete because each color has a category. The horizontal axis has the category labels with colored bars (Red, Yellow, etc.), and the vertical axis is labeled as a frequency. Here, the taller the bar, the higher the frequency.

There are several different bar graph types. On this page, the focus will be on standard bar graphs.

Common Core State Standards

How does this relate to 2 nd grade and 3 rd grade math?

• Grade 2: Measurement and Data (2.MD.D.10) Draw a picture graph and a bar graph (with single-unit scale) to represent a data set with up to four categories. Solve simple put together, take-apart, and compare problems using information presented in a bar graph.
• Grade 3: Measurement and Data (3.MD.B.3) Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories. Solve one- and two-step “how many more” and “how many less” problems using information presented in scaled bar graphs.

How to construct a bar graph

In order to construct a bar graph:

Draw the axes with a ruler and label them.

Use a ruler to draw each bar with the correct height.

Give the chart a title.

[FREE] Represent and Interpret Data Check for Understanding (Grade 1 to 3)

Use this quiz to check your 1st, 2nd and 3rd grade students’ understanding of representing and interpreting data. 15+ questions with answers covering a range of 1st, 2nd and 3rd grade represent and interpret data topics to identify areas of strength and support!

Bar graph examples

Example 1: constructing a standard bar graph.

Draw a bar graph to represent the number of colored cars that passed in front of the school building.

2 Use a ruler to draw each bar with the correct height.

There are 12 black cars in the first category, so draw a bar with the height of 12 units on the vertical axis. Repeating this for each category, you get the bar graph:

3 Give the chart a title.

Example 2: construct a bar graph using numerical data

The table below shows the number of goals scored in 25 soccer games. Represent this information in a bar graph.

As the first column represents the number of goals, this is the axis label for the horizontal axis. The number of matches is therefore the vertical axis.

Solving problems from a bar graph

In order to solve problems from a bar graph:

Locate the necessary bar(s).

Read the frequency from the vertical axis.

Complete the calculation.

Example 3: solving problems from a bar graph

Below is a bar graph that represents the number of points scored by soccer teams during their games on Saturday afternoon.

How many points did the Ravens score?

The bar you need to use for this question is the Ravens’ bar.

The frequency is read from the top of the bar.

The Ravens scored 5 points.

Example 4: solving problems from a bar graph

How many points did the Panthers and the Rockets score in total on Saturday?

The two bars that you need to locate are the Panthers and the Rockets.

The Panthers scored 6 points on Saturday.

The Rockets scored 8 points on Saturday.

To calculate the points scored on Saturday by the Panthers and the Rockets, you will add the two quantities.

The Panthers and the Rockets scored 14 points combined on Saturday afternoon.

Example 5: solving problems from a bar graph

Ms. Sampson’s class voted on which activity was their favorite to play at recess. The bar graph below represents the results.

How many more students voted for basketball than hula hoop?

The two bars that you need to locate are basketball and hula hoop.

2 students voted for hula hoop as their favorite activity.

8 students voted for basketball as their favorite activity.

To calculate how many more students voted for basketball than hula hoop, you will subtract the two quantities.

6 more students voted for basketball than hula hoop as their favorite recess activity.

Example 6: solving problems from a bar graph

Kevin asked 5 th grade students which was their favorite animal from their trip to the zoo. The bar graph below represents the results.

How many students went on the field trip to the zoo?

For this question, you will need the information from all 5 bars.

The frequency is read from the top of the bar. Each line represents 2 students that voted for the animal.

24 students voted for the lion as their favorite animal.

36 students voted for the tiger as their favorite animal.

12 students voted for the elephant as their favorite animal.

38 students voted for the monkey as their favorite animal.

15 students voted for the zebra as their favorite animal.

To find how many students went on the field trip to the zoo, you will add all of the votes together.

24 + 36 + 12 + 38 + 15 = 125

125 students went on a field trip to the zoo.

Teaching tips for bar graph

• For students struggling to plot data on a bar graph, a template is a useful tool to allow students to focus on the data, rather than drawing the graph itself.
• Once students are comfortable with creating a bar graph, it’s important to teach them how to interpret data. You can use the same bar graph to ask many different types of questions.

Easy mistakes to make

• Not leaving space between bars It’s important to leave space between the bars so that the data is easier to read. This also signals that the data is discrete (not continuous) and assures that a bar graph looks visually different from a histogram.
• Not labeling axis The horizontal and vertical axes need to have data labels. Otherwise there is no way to interpret or use the data given.
• Creating the bars with inconsistent widths The bars need to be of equal width.

Related represent and interpret data lessons

• Represent and interpret data
• Tally chart

Practice bar graph questions

1) The table below provides information about the favorite snack of 25 students. Represent this information in the form of a bar graph.

The bars are all drawn at the correct height, equal width apart with an equal space between each bar.

The horizontal axis is labeled with the snack choices and the vertical axis is labeled as counting numbers, starting from 0 on the horizontal axis.

2) A florist sells 5 different types of bouquets. The number of sales for each bouquet in one day is recorded in the table below. Represent this information using a bar graph.

The horizontal axis is labeled with the bouquet style and the vertical axis is labeled with sales.

The bars are drawn to the correct height and all have the same width. There must also be gaps between the bars that are also a constant width. The category ‘Spring Delight’ has no bar because there were no sales.

3) Ms. Sampson’s class voted on which activity was their favorite to play at recess. The bar graph below represents the results.

How many students chose Soccer as their favorite recess activity?

You need to locate the necessary bar to answer the question, which will be the bar labeled soccer.

Find the frequency by reading from the top of the bar.

4 students chose soccer as their favorite recess activity.

4) Ms. Sampson’s class voted on which activity was their favorite to play at recess. The bar graph below represents the results.

How many students were in Ms. Sampson’s class?

24 students

To find the number of students in Ms. Sampson’s class, you will need to add the total number of votes from the students.

Find the frequency by reading from the top of the bars.

To find the total number of students in Ms. Sampson’s class, add all the frequencies together:

6 + 2 + 4 + 8 + 4 = 24

There were 24 students in Ms. Sampson’s class.

5) Below is a bar graph that represents the number of points scored in a soccer game on Saturday afternoon.

How many more points were scored by the Shooting Stars than the Panthers?

To find how many more points scored, you will need information from the Panthers and the Shooting Stars.

Find the frequency by reading from the top of the two bars.

You will subtract the number of points scored by the Panthers from the points scored by the Shooting Stars.

The Shooting Stars scored 3 more points than the Panthers.

6) Kevin asked 5 th grade students which was their favorite animal from their trip to the zoo. The bar graph below represents the results.

How many students chose the lion, elephant or zebra as their favorite animal at the zoo?

17 students

39 students

36 students

51 students

To find how many students chose the lion, elephant or zebra as their favorite animal, you will need the information from the bars labeled as lion, elephant and zebra.

You will add the frequencies together to find the total:

12+15+24=51

51 students chose either the lion, elephant, or zebra as their favorite animal from the zoo.

Bar graph FAQs

Bar graphs are used to show categorical data. To represent continuous data, you would use another type of graph, like a histogram.

A bar graph is used to compare different groups or track changes over time using rectangular bars, where the length of the bar represents the quantity of the data. A pie chart is used to show the proportion of whole, represented in ‘slices’ where the size of the slide represents the quantity of the data. See also : Pie chart

A bar graph is used to compare different groups or track changes over time using rectangular bars, where the length of the bar represents the quantity of the data. A line graph, or line chart, is used to show trends or changes over a period of time, showing the relationship between 2 variables. Line graphs are represented by plotting points of a 2-D graph with a line connecting the data points.

Yes, bar graphs are useful when representing data across different categories or groups. There are single data set bar graphs, multiple data set bar graphs and stacked bar graphs.

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Statistics By Jim

Making statistics intuitive

Bar Charts: Using, Examples, and Interpreting

By Jim Frost 4 Comments

Use bar charts to compare categories when you have at least one categorical or discrete variable. Each bar represents a summary value for one discrete level, where longer bars indicate higher values. Types of summary values include counts, sums, means, and standard deviations. Bar charts are also known as bar graphs.

Use bar charts to do the following:

• Compare counts by categories.
• Display a variable function (sum, average, standard deviation) by categories.
• Understand relationships between categorical variables.

Unlike histograms, the bars in bar charts have spaces between them to emphasize that each bar represents a discrete value, whereas histograms are for continuous data . For more information about the difference between bar charts and histograms, please read my Guide to Histograms .

At a minimum, bar charts require one categorical variable but frequently use two of them. To learn about other graphs, read my Guide to Data Types and How to Graph Them . If you’re mainly interested in comparing and contrasting qualitive properties of different groups, consider using a Venn diagram .

A Pareto chart is a special type of bar chart that identifies categories that contribute the most to all outcomes. Please read my post about Pareto charts .

Example Bar Chart

A delivery service promises that deliveries will occur within a specified time. The service wants to determine how well they are meeting this promise during peak hours and non-peak hours.

The dataset for this graph uses two categorical variables, each having two values, which produces four possible combinations that observations can fall within:

Bar charts typically contain the following elements:

• Y-axis representing counts, variable function (average, sum, standard deviation), or other summary value.
• Categories or discrete values on the x-axis.
• Vertical bars representing the value for each category.
• Optionally, the bars can be clustered in groups and/or stacked to facilitate comparisons.

For the delivery data, the bars indicate the counts of observations having each of the four possible combinations of categorical values. The graph shows that more deliveries occur during peak hours than off-peak hours. Late deliveries are rare during off-peak hours. However, the number of late deliveries increases markedly during peak hours. The service should focus on improving delivery times during peak hours.

Because this chart has two categorical variables, it helps us understand the relationship between them.

Learn more about the X and Y Axis .

Interpreting Bar Charts and Comparing Categories

Bar charts often compare categories, but that’s not always the case. You just need a discrete variable for the horizontal X-axis. For instance, the bar chart below uses a five-point Likert scale for satisfaction. Likert scale data are ordinal and have discrete values. Learn more about Likert Scale: Survey Use & Examples and Ordinal Data: Definition, Examples & Analysis .

Assess the differences between bars to evaluate how the metric changes between discrete values. Identify the groups that have the highest and lowest values. The service provider must be pleased with the results!

Using clustering and stacking, you can compare groups within groups. To understand relationships between categorical variables, assess how the proportions of subgroups change between groups. In the plot of ice cream flavor preferences, females prefer chocolate, males prefer vanilla, and they equally enjoy strawberry.

Keep in mind that the length of the bars can represent different characteristics, such as counts, total, average, and so on. Be sure to notice which metric the graph displays while interpreting it.

Bar charts are also a fantastic way to display cumulative frequency , relative frequency distributions , and can really make contingency tables pop! In fact, the preceding graph is based on a contingency table in my post, Contingency Table: Definition, Examples & Interpreting .

Use Bar Charts with the Appropriate Hypothesis Tests

You can use bar charts to compare summary values between categories or understand the relationships between categorical variables. However, if you want to use your sample to infer the properties of a larger population , be sure to perform the appropriate hypothesis tests to determine statistical significance.

Related post : Descriptive versus Inferential Statistics

Graphs are somewhat subjective because statistical software allows you to edit their properties, such as the graph’s scaling. Changing these settings can alter the appearance of bar charts and the conclusions you draw from them. Conversely, hypothesis tests provide an objective assessment of statistical significance. These tests also account for the possibility of random error explaining the observed patterns.

The hypothesis tests that you can use with bar charts depend on whether you are comparing summary statistics between groups or exploring the relationship between categorical variables.

When you are comparing summary statistics, consider the following hypothesis tests:

• t-Tests for one or two groups
• ANOVA for at least three groups
• Variances tests that assess variability between groups

When you’re assessing the relationship between categorical variables, consider using the chi-square test of independence .

Click the link to see how I use the chi-square test to assess the data in the graph below! I determine whether there is a relationship between uniform color and survival status in the original Star Trek TV series.

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Reader Interactions

November 21, 2021 at 7:03 am

Please what theory supports the use of bar charts for hypothesis testing if you don’t want to use the chi-square to test your hypothesis?

November 21, 2021 at 2:47 pm

When you just want to describe a sample and you’re not using your sample to infer properties of a population, then using only bar charts is fine.

However, if you want to draw conclusions about a population, you’ll need to use a hypothesis test. In this scenario, bar charts can help illustrate your results but they can’t draw conclusions themselves.

It basically comes down to whether you’re performing descriptive or inferential statistics . You don’t need hypothesis tests for descriptive statistics but you do need them for inferential.

June 11, 2021 at 11:18 am

I have a data set and I am just struggling to find out the right way to present it. I have exposed larvae to say 500 particles until they develop into their final larval form. During this period, I am checking mortalities each day and removing dead nauplii to investigate if they ingested particles. Now for mortalities, I have taken sum of larve dead each day to get the cumulative mortalities. I am interested to relate mortality with no. of particles ingested by dead nauplii. I have no. of particles ingested/ dead larvae for each day like 2 particles/dead larve for day 1, 0 particles/dead larvae for day 2 and so on. My question is Should I take the average or sum of no. of particles/dead larvae over days and then relate to cumulative mortality? Note my unit is no. of particles per dead larvae

Thanks in advance for being so helpful.

June 14, 2021 at 9:54 pm

I wonder if you should use a line chart with a line for each batch. Number of dead for the y-axis a days along the x-axis. You would then record the number of deaths per day for each batch. Then compare the lines on the chart. Is one line steeper than others? That sounds promising if your main goal is to compare batches. But, you’d also see if the death rate changes over time.

Comments and Questions Cancel reply

Learn Mathematics

Bar graph | problems and solutions on bar graph, bar graph  problems and solutions.

Example: (1) Favourite colour of 200 students of a class are given in the below table. 

Answer the following questions with the help of the bar graph.

(1) Which is the most preferred colour and which is the least preferred? (2) How many students preferred red colour?

Solution:  First we choose a suitable scale, start the scale at 0.

The greatest value in the data is 50, so we know that all the bars would lie between 0 and 50, and the   we choose the scale such that the length between 0 and 50 is neither too long nor too small. 

we take 1 unit for 10 students. We then draw and label the graph as shown in figure.

The bar represent blue colour is tallest so, (1) Blue colour is most preferred colour. 

The bar represent green colour is shortest so, (2) Green colour is least preferred colour.

(3) 45 students preferred red colour. 

Example: (2) Favourite Fruits of 10 students of a class are given in the below table. 

(1) Which is the most preferred fruit and which is the least preferred? (2) How many students preferred mango and banana?

The bar represent red colour is tallest so, (1) Red colour is most preferred colour. 

The bar represent pink colour is shortest so, (2) Pink colour is least preferred colour.

(3) 2 students preferred mango and 9 students preferred banana.

Example (3): Number of children in class first to fifth are given below. Represent the data on a bar graph, and answer the given questions?

(1) Which class has the maximum number of students? (2) Which class has the minimum number of students? (3) How many students in class third?

(1) First class has the maximum number of students? (2) Fifth class has the minimum number of students? (3) 60 students in class third?

Example: (4) Books sold by a bookstore during consecutive years are given in below bar graph. Read the bar graph and answer the following questions.

(1) How many books were sold in 2010, 2011 and 2012? (2) In which year 1300 books sold? (3) In which year fewest books sold? (4)In which year highest score of books sold by bookstore?

(1) In year 2010, 1800 books sold in 2011,1700 books sold and in 2012, 1500 books were sold. (2) In year 2013, 1300 books sold? (3) In year 2016 fewest books sold? (4)In year 2014 highest score of books sold by bookstore?

Example: (5) Number of children in class first to fifth are given below in a bar graph. Read the bar graph and answer the given questions?

(1) Which class has the maximum number of students? (2) Which class has the minimum number of students? (3) How many students in class fourth? (4) How many students in class first?

(1) First class has the maximum number of students? (2) Fifth class has the minimum number of students? (3) 200 students in class third?

(4) 450 students in class first ?

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Bar Chart Questions and Answers

September 26, 2023

Here, In this Page you will find Bar Chart Questions and Answers along with some of its applications and types also. 

What is Bar Chart?

A bar chart is a graphical representation of data that uses rectangular bars or columns to represent different categories or values.

The rectangular bars are designed vertically or horizontally. A bar chart depicts a comparisons between different categories.

It included two axis: X axis and Y axis. One axis shows the precise categories being associated, and another axis shows the measured value.

Types of Bar Chart

There are several types of bar charts that can be used to represent data. Here are some of the most common types of bar charts:

• Vertical Bar Chart: This is the most commonly used bar chart. It represents the data vertically, with the bars running up and down the chart.
• Horizontal Bar Chart: This type of bar chart represents the data horizontally, with the bars running left to right.
• Stacked Bar Chart: In a stacked bar chart, the bars are divided into segments, each representing a different category. The segments are stacked on top of each other, with the total height of the bar representing the total value of all the segments.
• Grouped Bar Chart: In a grouped bar chart, the bars are divided into groups, with each group representing a different category. The bars within each group are side by side, making it easy to compare the values of each category. 

Below is an image of description of the Bar Chart 

The image given below shows the production and sales of a company for the month of March, April, May, and June. 

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Bar chart questions and answers .

1. The bar graph below provides the information about the sales of computers (in thousand number) from six different company during 2010 and 2011. Study the graph properly and answer all the given questions.

Find the ratio between total sales of company B and company D for the year 2010 and 2011.

Company B’s sale in 2010 = 85000

In 2011 = 75000

Company D’s sale in 2010 = 95000

In 2011 = 105000

Total sale of Company B = 85000 + 75000 = 160000

Total sale of Company D = 95000 + 105000 = 200000

Therefore, ratio = \frac{160000}{200000} = \frac{4}{5} = 4:5

2. The bar graph below provides the information about the sales of computers (in thousand number) from six different company during 2010 and 2011. Study the graph properly and answer all the given questions.

Total sales of company F is what percent of company C’s total sales for both 2010 and 2011 together?

Company F’s sale in 2010 = 80000

In 2011 = 90000

Company C’s sale in 2010 = 105000

In 2011 = 120000

Total sale of company F = 80000 + 90000 = 170000

Total sale of company C = 105000 + 120000 = 225000

Percentage = \frac{170000}{225000} \times 100 = 75.5%

3. The bar graph below provides the information about the sales of computers (in thousand number) from six different company during 2010 and 2011. Study the graph properly and answer all the given questions.

What percentage of average sale of all 6 companies in 2011 is the average sale in 2010?

None of the above

Average of all the six companies in 2010 = \frac{90 + 85 + 105 + 95 + 85 + 80}{6}

= \frac{540}{6} = 90

Average of all the six companies in 2011 = \frac{115 + 75 + 120 + 105 + 105 + 90}{6}

= \frac{610}{6} = 101.66

Percentage = \frac{90}{101.66} \times 100 = 88.5%

4. The bar graph below provides the information about the sales of computers (in thousand number) from six different company during 2010 and 2011. Study the graph properly and answer all the given questions.

Find the average sale of company A, C, and F for the year 2011.

In 2011 the sale of company A, C, and F were: 115 + 120 + 90 = 325

Therefore, the average = \frac{325}{3} = 108.33

5. The bar graph below provides the information about the export of a country (in million $) from the year 2001 to 2009. Study the graph properly and answer all the given questions.

Find the ratio of the years, in which the export was above the average to those in which the export was below the average.

The average of the export is: \frac{3052 + 4165 + 2950 + 3722 + 3500 + 4780 + 5460 + 3500}{8} = 3891.12

Those years in which the export was above 3891.12 were: 2002-03, 2006-07, and 2007-08. Therefore, for 3 years

Those years in which the export was below 3891.12 were: 2001-02, 2003-04, 2004-05, 2005-06, and 2008-09. Therefore, for 5 years.

Thus the ratio is 3:5

6. The bar graph below provides the information about the export of a country (in million $) from the year 2001 to 2009. Study the graph properly and answer all the given questions.

The export of 2007-08 was how many times the export in 2004-05?

The export of 2007-08 was 5460

The export of 2004-05 was 3722

The ratio = \frac{5460}{3722} = 1.46

Therefore, the export of 2007-08 was 1.46 times the export in 2004-05.

7. The bar graph below provides the information about the export of a country (in million $) from the year 2001 to 2009. Study the graph properly and answer all the given questions.

Find the year in which, the percent upsurge of export over the preceding year, was the lowest?

The upsurge in export was in the year: 2002-03, 2004-05, 2006-07, and 2007-08. The increase in export compared to previous year: For 2002-03 = \frac{4165-3052}{3052} \times 100 = 36.46% For 2004-05 = \frac{3722-2950}{2950} \times 100 = 26.16% For 2006-07 = \frac{4850-3500}{3500} \times 100 = 38.57% For 2007-08 = \frac{5460-4780}{4780} \times 100 = 14.22% According to the above calculations it is clear that the percent upsurge of export over the preceding year was lowest in the year 2007-08.

8. The bar graph below provides the information about the export of a country (in million $) from the year 2001 to 2009. Study the graph properly and answer all the given questions.

Find the percentage increase in the export in 2007-08 over 2003-04.

Data inadequate

The export of 2003-04 was 2950

Therefore, increase = 5460 – 2950 = 2510

Thus, percent increase = \frac{2510}{2950} \times 100 = 85.08%

9. The bar graph below provides the information about the manufacturing of furniture (table) by three different companies A, B, and C. (in thousand numbers) from the year 1985 to 1989. Study the graph properly and answer all the given questions.

Among the following years below, in which year the percentage rise/fall in manufacturing compared to the previous year is the maximum for Company B?

The percent change in the manufacturing of furniture by company B from the previous year:

For 1986 = \frac{50-40}{40} \times 100 = 25%

For 1987 = \frac{50-50}{50} \times 100 = 0%

For 1988 = \frac{55-50}{50} \times 100 = 10%

For 1989 = \frac{65-55}{55} \times 100 = 18.18%

Therefore, the minimum increase/fall was in the year 1986.

10. The bar graph below provides the information about the manufacturing of furniture (table) by three different companies A, B, and C. (in thousand numbers) from the year 1985 to 1989. Study the graph properly and answer all the given questions.

Find the company in which the average production was minimum.

Both B and C

For company A the average production was: \frac{45 + 60 + 40 + 65 + 55}{5} = 53

For company B the average production was: \frac{40 + 50 + 50 + 55 + 65}{5} = 52

For company C the average production was: \frac{50 + 55 + 60 + 50 + 50}{5} = 53

Therefore, the average production was minimum for company B

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• Worksheet on Bar Graph

In worksheet on bar graph we will practice different questions on representing the bar graph from the following data given in the questions.

1. The number of bed-sheets manufactured by a factory during five consecutive weeks is given below.

Draw the bar graph representing the above data.

2. The number of students in 7 different classes is given below. Represent this data on the bar graph.

3. The number of absentees in class VIII was recorded in a particular week. Represent this data on the bar graph

(a) On which day the maximum and minimum students were absent?

(b) How many students were absent on Wednesday and Friday?

(c) On which days the same number of students was absent?

4. The number of trees planted by Eco-club of a school in different years is given below.

Draw the bar graph to represent the data.

5. The population of a particular state in different years is given below.

Represent the above data using the bar graph.

6. The following table shows the favorite sports of 300 students of a school.

Represent the above data using column graph.

7. The following data represents the sale of refrigerator sets in a showroom in first 6 months of the year.

Draw the bar graph for the data given and find out the months in which the sale was minimum and maximum.

8. The following are the marks scored by Aaron out of 50 in different subjects in an exam. Represent this information on a bar graph

Represent this information on a bar graph.

9. The average monthly attendance of a class is given.

Draw the bar graph of the data given.

In which month the average attendance is minimum or maximum?

In which month the average attendance was less than 40?

Find the difference between the maximum and minimum average attendance?

10. The following data shows the birth rate per thousand of different countries during a certain year. Draw a bar graph.

11. The weekly sale of pencil boxes in a stationary shop is given in the table below. Using a suitable scale, represent the given information on a bar graph.

Pencil Boxes Sold

(i) Write the title of the bar graph. 

(ii) On which day were the maximum pencil boxes sold?

(iii) If the shopkeeper decides to close his shop for one more day each week, selection of which days would lead to minimum loss of sale and maximum loss of sale? 

(iv) On which day were the least number of pencil boxes sold?

(v) Which two days were equal number of pencil boxes sold?

12.  Given below is the data showing the number of students of class four whose birthday falls in first five months of the year. Make a bar graph for the given data.

Number of Students

13.  A survey of 36 students of a class was done to find out the mode of transport used by them while commuting to the school. The collected data is shown in the table given below. Represent the data in the form of a bar graph.

Now answer the given questions.

(i) Give a suitable title for the graph.

(ii) How many students walk to school?

(iii) Which mode of transport is used by most of the students?

(iv) How many students do not travel by school bus?

Read the questions carefully given in the worksheet on bar graph and represent the data in the column graph. The graph are shown below to check the exact the bar graph.

(i)  The Weekly Sale of Pencil Boxes in a Stationary Shop

(ii) Friday

(iii) Saturday, Friday

(iv) Monday, Saturday

(v) Monday, Saturday

(i)  Mode of Transport used by the Students

(iii) School Bus

●   Statistics - Worksheets

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• Worksheet on Mean Median and Mode
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• RD Sharma Solutions
• Chapter 24 Data Handling Iii Construction Of Bar Graphs

RD Sharma Solutions for Class 7 Maths Chapter 24 Data Handling - III (Constructions of Bar Graphs)

The PDF of RD Sharma Solutions for Class 7 Chapter 24 Data Handling – III (Constructions of Bar Graphs) is provided here. The subject experts at BYJU’S outline the concepts in a clear and precise manner based on the grasping abilities of students. The solutions to all questions in RD Sharma Solutions are given here in a detailed and step-by-step way to help students understand more effectively.

By solving this chapter, the students will understand how to draw a bar graph and a double bar graph for the given data. RD Sharma Solutions for Class 7 are given here, which include the answers to all the questions present in this chapter. Let us have a look at some of the concepts that are discussed in this chapter.

• Definition and meaning of bar graphs
• Steps to construct bar graphs
• RD Sharma Solutions Class 7 Maths Chapter 1 Integers
• RD Sharma Solutions Class 7 Maths Chapter 2 Fractions
• RD Sharma Solutions Class 7 Maths Chapter 3 Decimals
• RD Sharma Solutions Class 7 Maths Chapter 4 Rational Numbers
• RD Sharma Solutions Class 7 Maths Chapter 5 Operations on Rational Numbers
• RD Sharma Solutions Class 7 Maths Chapter 6 Exponents
• RD Sharma Solutions Class 7 Maths Chapter 7 Algebraic Expressions
• RD Sharma Solutions Class 7 Maths Chapter 8 Linear Equations in One Variable
• RD Sharma Solutions Class 7 Maths Chapter 9 Ratio and Proportion
• RD Sharma Solutions Class 7 Maths Chapter 10 Unitary Method
• RD Sharma Solutions Class 7 Maths Chapter 11 Percentage
• RD Sharma Solutions Class 7 Maths Chapter 12 Profit and Loss
• RD Sharma Solutions Class 7 Maths Chapter 13 Simple Interest
• RD Sharma Solutions Class 7 Maths Chapter 14 Lines and Angles
• RD Sharma Solutions Class 7 Maths Chapter 15 Properties of Triangles
• RD Sharma Solutions Class 7 Maths Chapter 16 Congruence
• RD Sharma Solutions Class 7 Maths Chapter 17 Constructions
• RD Sharma Solutions Class 7 Maths Chapter 18 Symmetry
• RD Sharma Solutions Class 7 Maths Chapter 19 Visualising Solid Shapes
• RD Sharma Solutions Class 7 Maths Chapter 20 Mensuration I (Perimeter and Area of Rectilinear Figures)
• RD Sharma Solutions Class 7 Maths Chapter 21 Mensuration II (Area of Circle)
• RD Sharma Solutions Class 7 Maths Chapter 22 Data Handling I (Collection and Organisation of Data)
• RD Sharma Solutions Class 7 Maths Chapter 23 Data Handling II (Central Values)
• RD Sharma Solutions Class 7 Maths Chapter 24 Data Handling III (Constructions of Bar Graphs)
• RD Sharma Solutions Class 7 Maths Chapter 25 Data Handling IV (Probability)

RD Sharma Solutions for Class 7 Maths Chapter 24 Data Handling – III (Constructions of Bar graphs)

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Exercise 24.1 Page No: 24.5

1. Two hundred students of Classes VI and VII were asked to name their favourite colours so as to decide upon what should be the colour of their school house. The results are shown in the following table.

Represent the given data on a bar graph.

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

(ii) How many colours are there in all?

Steps of constructing bar graph:

1. Mark the horizontal axis OX as Name of the Colour and the vertical axis OY as Number of Students.

2. Along the horizontal axis OX, choose bars of uniform (equal) width, with a uniform gap between them.

3. Choose a suitable scale to determine the heights of the bars, according to the space available for the graph. Here, we choose 1 small division to represent 10 students.

(i) The most preferred colour is blue, and the least preferred is green.

(ii) In all, there are 5 colours.

2. Following data gives total marks (out of 600) obtained by six children of a particular class.

Represent the data by a bar graph

1. Mark the horizontal axis OX as Name of the Students and the vertical axis OY as Marks Obtained.

3. Choose a suitable scale to determine the heights of the bars, according to the space available for the graph. Here, we choose 1 small division to represent 100 marks.

3. Number of children in six different classes is given below. Represent the data on a bar graph.

(i) How do you choose the scale.

(ii) Which class has the maximum number of children?

(iii) Which class has the minimum number of children?

1. Mark the horizontal axis OX as Class and the vertical axis OY as Number of Children.

3. Choose a suitable scale to determine the heights of the bars, according to the space available for the graph. Here, we choose 1 big division to represent 40 children.

(i) We choose 1 big to represent 40 children.

(ii)The maximum numbers of students are in class V.

(iii) The minimum number of students are in class X.

4. The performance of students in 1st term and 2nd term is as given below. Draw a double bar graph choosing appropriate scale, and answer the following:

(i) In which subject, has the children improved their performance the most?

(ii) Has the performance gone down in any subject?

1. Mark the horizontal axis OX as Subject and the vertical axis is OY as Marks.

3. Choose a suitable scale to determine the heights of the bars, according to the space available for the graph. Here, we choose 1 big division to represent 10 marks.

(i) In Maths, the students showed their greatest improvement.

(ii) The students performed worst in Hindi

5. Consider the following data gathered from a survey of a colony:

Draw a double bar graph choosing an appropriate scale. What do you infer from the bar graph?

(i) Which sport is most popular?

(ii) What is more preferred watching or participating in sports?

Steps of constructing graph:

1. Mark the horizontal axis OX as Favourite Sports and the vertical axis OY as Number of People.

3. Choose a suitable scale to determine the heights of the bars, according to the space available for the graph. Here, we choose 2 big divisions to represent 400 people.

(i) Cricket is the most popular sport.

(ii)Watching is preferred over participation.

6. The production of saleable steel in some of the steel plants of our country during 1999 is given below:

Construct a bar graph to represent the above data on a graph paper by using the scale 1 big division = 20 thousand tonnes.

1. Mark the horizontal axis OX as Name of the Steel Plant and the vertical axis OY as Production (in thousand tonnes).

3. Choose a suitable scale to determine the heights of the bars, according to the space available for the graph. Here, we choose 1 big division to represent 20 thousand tonnes.

7. The following data gives the number (in thousands) of applicants registered with an Employment Exchange during, 1995-2000:

Construct a bar graph to represent the above data.

1. Mark the horizontal axis OX as Years and the vertical axis OY as Number of Applicants Registered (in thousands).

3. Choose a suitable scale to determine the heights of the bars, according to the space available for the graph. Here, we choose 1 big division to represent 4 thousand applicants.

8. The following table gives the route length (in thousand kilometres) of the Indian Railways in some of the years:

Represent the above data with the help of a bar graph.

1. Mark the horizontal axis OX as Years and the vertical axis OY as Route Length (in thousand kilometres).

3. Choose a suitable scale to determine the heights of the bars, according to the space available for the graph. Here, we choose 1 big division to represent 10000 Km.

9. The following data gives the amount of loans (in crores of rupees) disbursed by a bank during some years:

(i) Represent the above data with the help of a bar graph.

(ii) With the help of the bar graph, indicate the year in which amount of loan is not increased over that of the preceding year.

1. Mark the horizontal axis OX as Years and the vertical axis OY as Loan (in crores of rupees).

2. Choose a suitable scale to determine the heights of the bars, according to the space available for the graph. Here, we choose 1 big division to represent 10 crores of rupees.

(ii) In 1995, the loan amount was not increased over that of the preceding year.

10. The following table shows the interest paid by a company (in lakhs):

Draw the bar graph to represent the above information.

1. Mark the horizontal axis OX as Years and the vertical axis OY as Interest (in lakhs of rupees).

3. Choose a suitable scale to determine the heights of the bars, according to the space available for the graph. Here, we choose 1 big divisions to represent 5 lakhs rupees.

11. The following data shows the average age of men in various countries in a certain year:

Represent the above information by a bar graph.

1. Mark the horizontal axis OX as Countries and the vertical axis OY as Average Age of men (in years).

3. Choose a suitable scale to determine the heights of the bars, according to the space available for the graph. Here, we choose 1 big division to represent 10 year.

12. The following data gives the production of food grains (in thousand tonnes) for some years:

1. Mark the horizontal axis OX as Years and the vertical axis OY as Production of food grains (in thousand tonnes).

13. The following data gives the amount of manure (in thousand tonnes) manufactured by a company during some years:

(i) Represent the above data with the help of bar graph.

(ii) Indicate with the help of the bar graph the year in which the amount of manure manufactured by the company was maximum.

(iii) Choose the correct alternative:

The consecutive years during which there was maximum decrease in manure production are:

(a) 1994 and 1995 (b) 1992 and 1993

(c) 1996 and 1997 (d) 1995 and 1996

1. Mark the horizontal axis OX as Years and the vertical axis OY as Manure (in thousand tonnes).

3. Choose a suitable scale to determine the heights of the bars, according to the space available for the graph. Here, we choose 1 big division to represent 5 thousand tonnes.

(ii) In the year 1994, the amount of manure manufactured by the company was maximum.

(iii) 1996 and 1997.

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Hacking the Case Interview

You are almost guaranteed to be given a few graphs and charts to analyze in your upcoming case interview. Correctly interpreting these exhibits is critical to acing your case.

Some of the information in these exhibits will be useful while other information will not be. You’ll be expected to understand the data in these graphs and charts quickly and identify the key insights that will shape your recommendation.

Given the importance of reading exhibits, how can you ensure that you do well in this part of the case interview?

This article contains everything you need to know. We’ll cover:

• The 6 steps to analyze graphs and charts
• The 10 most common charts and graphs in case interviews

If you’re looking for a step-by-step shortcut to learn case interviews quickly, enroll in our case interview course . These insider strategies from a former Bain interviewer helped 30,000+ land consulting offers while saving hundreds of hours of prep time.

The 6 Steps to Analyze Case Interview Graphs & Charts

There are six steps to reading and interpreting exhibits effectively.

Step 1 :  Read the chart or graph title

The first step is to get an overall understanding of what the chart or graph is showing. The most efficient way to do this is to read the title of the chart or graph before you look at anything else. This will reveal exactly what information or data is being presented.

Step 2: Look at the axes, units, and labels

Now that you broadly know what information or data is being presented, the next step is to look at the axes. Most charts or graphs will have two axes, the x-axis and the y-axis.

The axes will tell you what dimensions of information are being shown. They should also show the units of measurement, which you should pay particularly close attention to. Remember that numbers are not useful if you don’t know what the units are.

Finally, look at any other labels, such as a legend or key.

The goal of this step is to orient you on how the chart or graph is structured. Once you know how the chart or graph is structured, it will be easier to read.

Step 3: Identify the one or two biggest insights

Next, you want to focus on identifying the one or two biggest insights that immediately stand out. There are a few common patterns you should recognize as you practice interpreting graphs and charts:

• One number may be much smaller or larger in size compared to other numbers
• One number may be increasing or decreasing much more quickly or slowly than other numbers
• The data may show a particular trend, either increasing or decreasing
• There may be a correlation between two different variables

Many candidates make the mistake of reading off every number that the chart or graph shows. Remember that reading text does not get you any points with the interviewer. Interpreting what you read to draw insights is what matters.

Therefore, resist the urge to talk through everything that you see. Start by talking through the one or two most obvious insights that stand out.

Step 4: Identify the less obvious insights

After you identify the one or two biggest insights, take some time to identify other important, but less obvious insights. These are the insights that distinguish outstanding case interview candidates from average candidates.

There are a few common patterns you should recognize when identifying these insights:

• You may need to make some sort of calculation to identify insights
• You may need to compare other information about the case that you already have with the data in the chart or graph
• If the interviewer gives you multiple exhibits to analyze, you may need to compare data across two or more exhibits

Again, resist the urge to talk through everything that you see. Focus your attention on identifying insights before presenting your thoughts.

Step 5: Connect the insights to the case objective

Now that you have identified all of the insights in the chart or graph, you need to answer the question: “so what?” How does this insight help you solve the case or develop a recommendation?

You need to take the insights you have identified and connect it to the case objective. This is what distinguishes outstanding case interview candidates from average candidates.

The insights from the chart or graph should help you develop a hypothesis for what a potential answer to the case could be. If you already had a hypothesis, it should help you refine it. Additionally, the insights should help you identify the potential next steps you need to take to solve the case.

Step 6: Summarize what you have done

Depending on how complex the chart or graph is or how much time you spent analyzing it, you may find it helpful to summarize everything you have done.

You should do this in the following structured way:

• State what the chart or graph shows
• List the biggest insights drawn from the chart or graph
• Explain how these insights impact your hypothesis or answer to the case
• Propose next steps to take to solve the case

If you consistently follow this six step approach to reading and interpreting charts and graphs, you will find yourself getting much quicker and better at analyzing exhibits.

The 10 Most Common Charts & Graphs in Case Interviews

1. Simple Bar Chart

One of the simplest charts is the bar chart. In this example, the x-axis represents different products, which includes desktops, laptops, and tablets. The y-axis represents sales in dollars. Therefore, the height of each of these bars represents the amount of sales for each product.

Simple bar charts are straightforward to read and interpret since they don’t show that much information. In this example, we can conclude that laptops have the highest sales at $5,000 and tablets have the lowest sales at $1,500.

2. Stacked Bar Chart

A stacked bar chart adds another dimension of data to a simple bar chart.

In this example, the x-axis represents different companies. The y-axis represents sales in dollars. The stacked segments in each of the bars represents the type of product. Therefore, this stacked bar chart shows the sales of different products by company.

We can conclude that Company B has not only the highest sales, but also the highest sales in each of the three product categories.

3. 100% Stacked Bar Chart

A 100% stacked bar chart transforms the y-axis of a stacked bar chart.

In this example, instead of the y-axis being sales in dollars, the y-axis is now sales as a percentage of total sales for that company. The x-axis still represents the company and the stacked segments still represent products.

The advantage of a 100% stacked bar is that you can easily compare the relative proportion of a segment in one bar with that same segment in another bar.

In this example, we can conclude that out of all three companies, Company B has the highest proportion of sales coming from desktops. We can also conclude that Company C has the highest proportion of sales coming from tablets.

4. Marimekko / Mekko Chart

The next chart is called the Marimekko or Mekko chart, which adds yet another dimension of data to the 100% stacked bar chart. This chart is heavily used by Bain & Company and may be confusing to those who have never seen it before.  In this example, the x-axis represents the different companies, the y-axis represents the percentage of total sales, and the stacked segments represent the different products. The additional dimension of data is the width of the x-axis, which shows how large total sales are across the different companies.

You can think of Marimekko or Mekko charts as a large, rectangular pie chart. In this example, the entire area of the full rectangle represents $24,500 of sales, the sum of total sales across all three companies. Each individual rectangle represents the percentage of the total $24,500 in sales.

Just like for 100% stacked bar charts, you can easily compare the relative proportion of a segment in one bar with another in a Mekko chart. In this example, you can see that the proportion of sales from tablets is highest in Company C since its tablet segment is the tallest.

However, in a Mekko, you can also compare the size of one entire bar with another. In this example, you can see that Company B has the highest overall sales since the width of its bar is the widest.

5. Pie Chart

The next chart is the pie chart, which is heavily used by the Boston Consulting Group (BCG). A pie chart shows the same information as a 100% stacked bar chart.

In this example, the pie chart represents 100% of sales by product line. Each slice of the pie represents the proportion of total sales each product category accounts for.

6. Waterfall Chart

A waterfall chart shows or reconciles how we get from one number to another number.

In this example, the chart shows how we get from year one profit, represented by the first bar furthest to the left, to year two profit, represented by the last bar furthest to the right. Upon initial inspection, we see that profit has increased from year 1 to year 2. What caused the increase?

The bars in light blue show drivers that increased profits. Price increase, quantity increase, and a decrease in variable costs all caused profits to increase.

The bar in dark blue shows what driver decreased profits. An increase in fixed costs decreased profits.

Collectively, all of these drivers resulted in a net increase in profits. We can conclude that the largest driver behind the increase in profit is the quantity increase because that is the largest bar.

7. Histogram

A histogram may look like a simple bar chart, but it is quite different. A histogram shows the distribution of a variable. A bar chart, on the other hand, compares a variable.

In this example, the x-axis represents different age groups. The y-axis shows the frequency of these age groups. From this histogram, we can conclude that the 81+ years age group has the fewest number of people. The 21 - 40 years age group has the greatest number of people.

8. Line Graph

A line graph shows a change in a variable over time. Time is almost always on the x-axis for line graphs.

In this example, the x-axis shows years and the y-axis shows annual revenue. This graph shows how annual revenue has changed over five years.

9. Scatterplot

A scatterplot shows points to visualize the values of two different variables. These two variables are labeled on the x-axis and y-axis.

In this example, the x-axis represents annual growth in supply chain investments and the y-axis shows annual revenue growth.

If we look for patterns among the points, it appears that as annual growth in supply chain investments increases, annual revenue growth increases. A trendline is used in scatterplots to show this correlation.

We can use trendlines to make predictions. For example, we could conclude that if a company’s annual growth in supply chain investments is 10%, then its annual revenue growth would be greater than 20%.

10. Bubble Chart

Bubble charts show many dimensions of information. Bubble charts use the x-axis, y-axis, size of the bubble, and color of the bubble to show data.

In this example, each bubble represents a different drug. The x-axis shows drug efficacy, the y-axis shows mortality rate, the size of the bubble shows sales in dollars, and the color indicates which company the drug belongs to.  With bubble charts, you typically want to identify which quadrant of the chart is the best or most favorable quadrant. In this example, drugs with high efficacy rates and low mortality rates are the best.

So, looking at the quadrant in the bottom right, we see that drugs in this segment have the highest sales, which makes sense intuitively. Additionally, we see that Company A has two drugs in this quadrant while Company B only has one.

However, Company B has the drug with the highest amount of sales. This is likely due to the fact that the drug has a very low mortality rate but a high efficacy rate.

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Bar Graphs: Overview

This Topic covers sub-topics such as Bar Graphs, Horizontal Bar Graphs, Vertical Bar Graphs, Interpretation of Bar Graphs, Use of Bar Graphs to Show Deviations, Representing Data in Bar Graphs and, A Double Bar Graph of Data

Important Questions on Bar Graphs

Following bar graph shows the ratio of export to import of two companies A and B during the period of 1990-1995.

In which year, the difference of export and import for Company B is minimum?

Study the following graph carefully --- Production of three different type of tyres by a company over the year (in Lakhs)

In 2008   and  2009 , what was the difference between the number of B-type tyres manufactured ?

A cosmetic company provides five different products. The sales of these five products (in lakhs   number of packs) during 1995 and 2000 are shown in the following bar graph.

Sales (in lakhs  number of packs) of five different products of Cosmetic Company during 1995 and 2000 .

The sales have increase by nearly 95 % from 1995 to 2000 in the case of?

Read the following graph carefully and answer the questions given below :

Marks obtained by five students in different languages

What is the respective ratio between the marks obtained by all students in Hindi and Marathi ?

Direction: The bar graph given below shows the data for the production of paper (in lakh   tonne ) by three different companies X ,   Y and Z   over the years.

In which year was the percentage of production of the company Z to the production of the Company Y the maximum?

Number of candidates who cleared different exams:

What was the percentage of students who cleared CAT in 2000 ?

Study the following graph carefully and answer the questions- The graph shows income and expenditure of a company

If 16 2 3 16\frac { 2 }{ 3 } % of the people who prefer Piano, would go with the people who perfer Flute, the percentage of people who prefer flute would have been.

For Company A if in the year 2006  export is decreased by 20 % and import is increased by 20 % then what will be the new ratio between export and import?

Bar diagram which shows the production of electronic equipment from 2003 to 2007 .

Production of Electronic Equipment (in ₹  millions)

If the production of electronic equipment in 2003 is taken as base 100 , the index of approximate production in  2007 is equal to_____.

Study the following graph and answer the question that follows:

Number of Candidates (in thousands) admitted in two different institutions

What was the total number of candidates admitted in Institution B over all the years together?

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Bar Graph Questions: Level 01

• Which state has three times the percentage of non- electrified villages in comparison to 'C' state? A. C B. F C. B D. None of these Answer & Explanation Answer: C Clearly, from the graph,% of non electrified villages of 'C' = 15%. % of non electrified villages of 'B' = 45% which is three times of C's %. Hence answer is option C.
• In case of State B, what percent of villages are electrified? A. 75% B. 15% C. 45% D. None of these Answer & Explanation Answer: D In case of State B, 45 % of villages are not electrified. % of electrified villages = (100 – 45) = 55%.
• How many states have atmost 40% or less non electrified villages? A. 5 B. 3 C. 4 D. 6 Answer & Explanation Answer: B For States F, A, C (i.e. 3 states), we have 40% or less non electrified villages.
• Which state has the minimum % of Non electrified villages? A. A B. B C. C D. D Answer & Explanation Answer: C Clearly from the graph, For State 'C' non electrified % is minimum.

Bar Graph Concepts

Bar graph solved examples.

• Bar Graph Questions: Level 02

Bar Graph Questions: Level 03

• What is the ratio of exports in years 1990-91 & 1992-93 together to the imports in the same year? A. 1.41 B. 1.17 C. 1.55 D. 1.71 Answer & Explanation Answer: B Sum of exports of 1990-91 and 1992-93 = 638 + 1661 = 2299 Sum of exports of 1990-91 and 1992-93 = 824 + 1137 = 1961 The required ratio = 2299 / 1961 = 1.17
• In which of the following years was the gap in the exports and imports the maximum? A. 1994-95 B. 1992-93 C. 1993-94 D. 1990-91 Answer & Explanation Answer: B Difference for 1994-1995 = 1658-1305 = 353 Difference for 1992-1993 = 1661-1137 = 524 Difference for 1993-1994 = 1538-1513 = 25 Difference for 1990-1991 = 824-638 = 186 In this case we can observe that 1992-1993, the gap in the exports and imports is maximum. Hence, answer is option B
• What is the ratio of years having above average imports to those having below average imports in the given period? A. 3:2 B. 4:1 C. 2:3 D. 1:4 Answer & Explanation Answer: C The average imports = (824+1014+1137+1513+1658)/5 = 1229.2 The years 1990-91, 1991-92, and 1992-93 have below the average imports. The years 1993-94 and 1994-95 have above the average imports. Required Ratio = 2:3
• Which of the following statements is true about the graph? A. There is a continuous rise in exports. B. From 1992-93, exports are below average. C. Till 1992-93, imports are below average. D. Total imports in the given period are more than the total exports. Answer & Explanation Answer: C The average imports = (824+1014+1137+1513+1658)/5 = 1229.2 Till 1992-93, imports are below average. Thus statement (C) is true.
• The exports in 1993-94 are approximately how many percent more than the imports of 1991-92? A. 49% B. 51.6% C. 201% D. None of these Answer & Explanation Answer: B Exports is 1993-94 = 1538. Imports is 1991-92 = 1014. Required % = 100 x (1538 - 1014) / 1014 = 51.6 %. Hence, answer is option B

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5th Class Mathematics Data Handling Bar Graph

Category : 5th Class

    Bar Graph

When the numerical information is represented on the graph using bars, it is known as bar graph. Let us understand it with the help of an example: In the following table number of cars sold by a company in different months of a year has been shown:

Let us make a bar graph using above information:

Step 1: Draw one horizontal and one vertical line.                

Step 2: Choose a convenient scale and mark the numbers on the vertical line at equal interval.

Step 3: Now make bars, keeping width of the bars and distance among them uniform. Length of the bars is equal to the respective numbers                

Read the given bar graph and answer the following questions:                

(i)    Name the student who got the highest mark

(ii)    Find the marks obtained by Amelia

(iii)   What scale has been chosen in the bar graph     

(i) Katherine got the highest mark

(ii) Amelia obtained 70 marks

(iii) 1 cm = 10 marks  

• A bar graph may be either vertical or horizontal
• The bar which has highest length represents the greatest amount and the bar which has lest amount.  

• The information which is in the mumeral form called data.
• The initial data that the observer collects himself is called raw data.
• When raw data is arranged in table in order to extract the information contained by it easily, is called grouped data.
• In the pictograph, data is represented with the help of pictures.
• When the numerical information is represented on the graph using bars, it is known as bar graph.  

In the following pictograph, number of video games sold by a shop has been shown                

  (The following questions are based on the above pictograph)  

(a) Monday                                       

(b) Saturday

(c) Thursday                                      

(d) Wednesday

(e) None of these

Answer: (b)                

Explanation

Thus it is Saturday when 49 video games were sold.  

(a) 7                                                      

(b) 14                            

(c) 21                                                    

(e) None of these  

Answer: (c)  

(a) Wednesday                                

(c) Saturday                                       

(d) Thursday                

Answer: (a)  

Answer: (d)  

(a) 120                                                 

(c) 160                                                  

Answer: (b)  

(c) 42                                                    

Answer: (d)      

Read the above graph and answer the following questions: Which one of the following days had highest temperature?

(b) Tuesday

(c) Wednesday                                

(d) Thursday                     

(a)\[{{3}^{o}}C\]                              

(b) \[{{6}^{o}}C\]

(c) \[{{9}^{o}}C\]                             

(d) \[{{12}^{o}}C\]                          

(a)\[1cm\text{ }={{3}^{o}}C\]    

(b) \[1cm\text{ }={{6}^{o}}C\]

(c)\[1cm\text{ }={{9}^{o}}C\]                    

(d) \[1cm\text{ }={{12}^{o}}C\]                

(a) 1cm                                                

(c) 3cm                                                

(d) 4cm                                

(a) Sunday                                         

(c) Thursday                                      

(d) Tuesday                       

(e) None of these                

Answer: (a)

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• play_arrow Data Handing
• play_arrow Introduction
• play_arrow Data
• play_arrow Pictograph
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• play_arrow Data Handling

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Home » Articles » Practice Questions of Bar Graphs for Banking Examinations

Practice Questions of Bar Graphs for Banking Examinations

In this post, we will discuss some Data Interpretation questions based on Bar graphs. Data interpretation can be of different types like bar graph, table, pie chart, caselets etc. Students can expect one set of bar graph questions in exams. It is easier to solve Bar graph questions by noting down the given data in the form of a table. Here are some Bar graph practice questions which will help you prepare for your upcoming examinations.

Bar graph practice questions

Directions for Questions 1 to 3: Following bar chart shows the number of employees in 4 companies working in 4 departments: Marketing, Tech, Operations and Others.

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1. What percent of employees in company C are in operations?

2. What is the ratio of the difference between the number of employees working in tech and operations in company A to that in company B?

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3. The sum of the number of employees in marketing and operations in company D is what percent greater than the sum of the number of employees in tech and others in the same company?

Answer key to Q1: 4

Required percentage = (400/1600)*100% = 25%

Answer key to Q2: 1

Required ratio = (400 – 180) : (300 – 260) = 11:2

Answer key to Q3: 2

Sum of the number of employees in marketing and operations in company D = 280 + 320 = 600

Sum of the number of employees in tech and others in company D = 140 + 260 = 400

Required percentage = ((600 – 400)/400)*100% = 50%

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Directions for Questions 4 to 6: Study the following information carefully and answer the related questions.

Following first bar graph represents the data regarding total number of employees (male + female) working in five different companies and second bar graph represents the percentage of female employees in the given company.

4. Total male employees in company B, D and E together are what percent of total employees in same company?

5. Total number of female employees in all companies together are how much more/less than total number of male employees?

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6. If ‘m’ is the ratio of total male employees in company C and E together to total employees in company D and ‘n’ is the ratio of total female employees in company B and C together to total employees in company A, then what is the sum of m and n?

(1) 4(23/60)

(2) 1(91/120)

(3) 2(63/80)

(4) 1(87/100)

(5) 2(4/47)

Total employees in company A = 300

Female employees in company A = 35% of 300 = 105

Male employees in company A = 300 – 105 = 195

Total employees in company B = 280

Female employees in company B = 40% of 280 = 112

Male employees in company B = 280 – 112 = 168

Total employees in company C = 360

Female employees in company C = 55% of 360 = 198

Male employees in company C = 360 – 198 = 162

Total employees in company D = 400

Female employees in company D = 25% of 400 = 100

Male employees in company D = 400 – 100 = 300

Total employees in company E = 320

Female employees in company E = 60% of 320 = 192

Male employees in company E = 320 – 192 = 128

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Answer key to Q4: 3

Total employees in company B, D and E = 280 + 400 + 320 = 1000

Total male employees in company B, D and E = 168 + 300 + 128 = 596

Percentage = (596/1000) x 100 = 59.6%

Answer key to Q5: 1

Total number of female employees in all companies together

= 105 + 112 + 198 + 100 + 192 = 707

Total number of male employees in all companies together

= 195 + 168 + 162 + 300 + 128 = 953

Difference = 953 – 707 = 246

Answer key to Q6: 2

Total male employees in company C and E together = 162 + 128 = 290

m = 290/400 = 29/40

Total female employees in company B and C together = 112 + 198 = 310

n = 310/300 = 31/30

Therefore, m + n = (29/40) + (31/30) = 1(91/120)

We hope these Bar graph practice questions will help you ace the questions of these type of data interpretation. The first bar graph is of easy level and is common in most prelims level banking and insurance examinations. Do go through more such Bar graph practice questions by attempting Oliveboard’s sectional tests .

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Case Study Questions for Class 8 Maths Chapter 5 Data Handling

• Last modified on: 11 months ago
• Reading Time: 6 Minutes

Table of Contents

Here we are providing Case Study questions for Class 8 Maths Chapter 5 Data Handling.

Case Study Questions

Related posts, cbse class 8 maths chapter 5 data handling, learning outcomes.

• Circle Graph or Pie Chart
• Chance and Probability

Important Keywords

• Data: Numerical observations collected by an observer is called data (raw data).
• Frequency: The number of times an observation occurs in the given data is called the frequency of the observation.
• Frequency Distribution: A way of presenting data that exhibits the values of the variable and corresponding frequencies is called a frequency distribution.
• Range: The difference between the highest and the lowest values of observation is called range. i.e., Range = Highest observation – Lowest observation
• Class-mark: The mid-point of a class-interval is called class-mark.
• Histogram: Grouped data can be presented using the histogram. A histogram is a type of bar diagram, where the class intervals are shown on the horizontal axis and the height of the bars show the frequency of the class interval. Also, there is no gap between the bars as there is no gap between the class intervals.
• Pie-chart or Pie-diagram: A pie-chart is a pictorial representation of the numerical data by non-intersecting adjacent sectors of the circle such that area of each sector is proportional to the magnitude of the data represented by the sector.
• Probability: Probability is the possibility and impossibility of an event (E).

Important Facts

• Data mostly available to us in an unorganized form is called raw data.
• In order to draw meaningful inferences from any data, we need to organise the data systematically.
• Frequency gives the number of times that a particular entry occurs.
• Raw data can be ‘grouped’ and presented systematically through ‘grouped frequency distribution’.
• Grouped data can be presented using histogram. Histogram is a type of bar diagram, where the class intervals are shown on the horizontal axis and the heights of the bars show the frequency of the class interval. Also, there is no gap between the bars as there is no gap between the class intervals.
• Data can also presented using circle graph or pie chart. A circle graph shows the relationship between a whole and its part.

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Study the bar graph given below and answer the questions that follow: (a) What information is depicted from the bar graph? (b) In which subject is the student very good? (c) Calculate the average marks of the student. (d) If 75 and above marks denote a distinction, then name the subjects in which the student got distinction. (e) Calculate the percentage of marks the student got out of 500.

(a) the bar graph depicts the information about marks obtained by a student in 5 different subjects. (b) 82, is the highest marks that are obtained by students in mathematics. therefore, we can say that students are good in maths. (c) average marks =$$\dfrac{64+75+82+71+49}{5}=68.2$$ (d) the student got 82 marks in math and 75 marks in hindi. therefore, the students got a distinction in maths and hindi. (e) total marks secured by the student $$ 64+75+82+71+49=341$$ hence, percentage marks=$$ \dfrac{341}{500}= 68.2\%$$.