bar graph example worksheet

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Bar Graph Worksheets Hub Page

Welcome to the Math Salamanders Bar Graph Worksheets. Here you will find our range of bar and picture graph worksheets which involve reading and interpreting bar graphs.

There are a wide range of bar graph sheets suitable for children across the elementary age group, from 1st to 5th grade.

Activities include reading and interpreting bar graphs as well as drawing missing bars.

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What is the difference between a bar graph and a bar chart?

A bar graph and a bar chart refer to the same thing.

Sometimes a bar graph or bar chart can also be refered to as a bar diagram.

What is the difference between a bar graph and a picture graph?

Features of a bar graph

• The bars are the same thickness.
• The bars usually go vertically, but they can also lie horizontally in a horizontal bar graph.
• The height of the bar (or width in a horizonal bar graph) show the data.
• The bars have the same starting point on the x-axis.
• There is usually a numerical scale on the y-axis showing the amount represented by the bars.
• The data is represented by pictorial symbols instead of bars.
• Each symbol usually represents one of the object is represents, though it can represent more (or less) than one object.
• A key is usually used to show what each symbol represents.
• There is no numerical scale on the y-axis

Understanding Bar Graphs

When teaching children about bar graphs, there is usually a focus on getting children to draw and label a graph accurately which is worthwhile.

What is often neglected though, is the interpretation of bar graphs, and an analysis of what the data is showing.

This skills is equally as important as the skill of drawing the graph in the first place.

The sheets on this page involve interpreting bar graphs and answering questions about the data. There are also some activities which involve drawing missing bars, or saying whether a statement about the data is true or false.

It is really important that children look carefully at the scale on a bar graph so they can read and interpret it correctly.

There are also a few picture graphs (or pictograms) with each picture representing one or more units.

It is really important with pictographs to look at the key, so that they know how much each picture represents.

Using these sheets will help your child to:

• read and interpret bar graphs going up in different size steps;
• draw bars accurately from 2nd grade and upwards;
• answer questions involving data.

The worksheets have been split up by grade in the section below.

1st Grade Bar Graph Worksheets

At a first grade level, the bar graphs are shown very simply, with the scale going up in ones.

The pictograms are also simple with each symbol representing one unit.

The questions are straightforward and simply involve saying how much each bar is worth, or what the most or least is.

We also have some tally chart worksheets to help children understand how tally charts work.

• Tally Chart Worksheets
• Count and Graph Worksheets
• Bar Graphs First Grade

2nd Grade Bar Graph Worksheets

At a second grade level, the bar graphs are starting to become a little more complicated.

The scale might be going up in ones or twos.

The pictograms are still quite simple with each symbol representing one unit.

The questions are more varied now, asking how many more, or how many less. The interpretation of the graph is becoming a little more difficult.

• Bar Graphs 2nd grade

3rd Grade Bar Graph Sheets

At a 3rd grade level, the bar graphs are now showing a range of different scales such as 2s, 5s, 10s, 100s.

The pictograms are becoming more complex with each symbol representing more than one unit.

The questions are more varied, asking how many more, or how many less, the total of several bars combined. The interpretation of the graph is becoming more difficult.

On this page there are a selection of bar and picture graphs, including bar graphs with real-life data such as tree heights.

• Bar Graph Worksheets 3rd grade

4th Grade Bar Graph Sheets

At a 4th grade level, the bar graphs are becoming more complex and involve decimals and larger numbers.

The scales used at 4th grade are varied, and may include decimal scales.

The questions are probably at the same sort of level as 3rd grade, but the complexity of the data makes them harder.

• Bar Graph Worksheets 4th grade

More Recommended Math Worksheets

Take a look at some more of our worksheets similar to these.

• What is a Line Plot?

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Bar Graph Worksheets

Bar graph worksheets contain counting objects, graphing by coloring, comparing tally marks, creating graph, reading bar graph, double bar graph, drawing bar graph to represent the data, making your own survey and more. Each worksheet contains a unique theme to clearly understand the usage and necessity of a bar graph in real-life. These worksheets are highly recommended for students of grade 1 through grade 6. Access some of these handouts for free!

1st Grade Bar Graph Worksheets

Making Bar Graphs

Color the squares according to the number of items, and create bar graphs to represent the data in these printable hands-on worksheets.

• Download the set

Counting and Creating Bar Graphs

Count the pictures in each kind, color the squares with respect to the count, and make bar graphs.

Reading Bar Graphs | Three Categories

Observe the shaded squares on the bar graphs, and list down the number of objects on the table beside.

Drawing and Interpreting Bar Graphs | Three Categories

Task kids of grade 1 to draw bar graphs using the information from the table, and interpret it to answer a few questions.

Take Your Own survey

Take a survey among your friends and family members. Record the results in this chart pdf and draw a bar graph to represent your data.

2nd Grade Bar Graph Worksheets

Counting and Coloring Bar Graphs

Color the graph to show the count of each picture. Answer the questions based on the bar graph.

Counting and Drawing Bar Graphs

You have a collection of objects in each printable worksheet. Count the number of objects in each kind and draw a bar graph to represent the counting.

Reading Bar Graphs | Four Categories

Each worksheet has 5 questions based on reading bar graph. Scale increments by 1s. These worksheets are suitable for grade 2 kids.

Drawing and Interpreting Bar Graphs | Four Categories

Kids in 2nd grade are expected to draw a bar graph to represent the data and use the information to answer the questions.

3rd Grade Bar Graph Worksheets

Tally Marks and Bar Graphs

Counting of each object is represented by tally marks. Draw and color the bar graph to show the count.

Reading Bar Graphs | Several Categories

Read the bar graph and answer the questions. Scale increments by 2s and 5s. There are 5 bars in each pdf worksheet.

Drawing and Interpreting Bar Graphs | Several Categories

Bar graph worksheets for grade 3 contain scale increments by 4s and 8s. There are four questions in each printable worksheet.

Title, Labeling Axis, Scaling and Graphing

Using the given information, write a title of the bar graph, label x and y axis, make appropriate scale, and draw a graph to represent the data.

Bar Graphs | 4th Grade & Up

Reading Bar Graphs

Reading bar graph goes little hard this time. The increments are two-digit and three-digit numbers. Each worksheet has six bars and five word problems based on bars catering to children of grade 4.

Drawing and Interpreting Bar Graphs

At this level, scale increments are huge and the quantities are in 2-digits, hundreds and thousands.

Double Bar Graphs

There are five sets of double bar graphs in each pdf worksheet. Practice of these handouts will substantially improve the decision-making skills of 5th grade and 6th grade students. They need to analyze and compare the data and answer the questions.

Related Worksheets

» Tally Marks

» Pie Graph

» Pictograph

» Line Graph

» Graphs

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Here is a complete set of basic, intermediate, and advanced bar graph worksheets for teachers and homeschool families.

Bar Graphs (Grade 1)

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Bar Graphs (Grades 2-3)

Bar Graphs (Grades 4 & up)

The worksheets on this page contain picture graphs with symbols.

This page has worksheets on reading and creating line graphs.

Here we have a collection of circle graph (pie graph) worksheets.

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Bar Graph Worksheets

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Bar Graphs 2nd Grade

Welcome to our Bar Graphs 2nd Grade page. Here you will find our selection of free bar graph worksheets to help your child learn to read, interpret and draw bar graphs at a second grade level.

As well as bar graphs, there are also some picture graph worksheets on this page which are also a great way to get children familiar with looking at dats in different formats.

Quicklinks to ...

• Introduction
• 2nd Grade Picture Graph Worksheets
• Bar Graphs 2nd Grade Worksheets
• Easier / Harder Bar Graph Worksheets
• More related resources

Bar Graphs 2nd Grade Online Quiz

Bar graph worksheets for 2nd graders.

At a 2nd grade level, most children will already have seen bar graphs and know what they look like.

We start increasing the level of complexity of the questions, asking children to compare the sizes of different bars, asking 'how many more...?' type questions.

We also start looking at bar graphs where the scale does not go up in ones, but in twos as well.

On this page there are a wide variety of bar and picture graphs on a variety of different topics.

The worksheets on this page focus on simple analysis of bar graphs, though some of the activities also involve drawing the correct size bars on the graphs.

There are also several picture graphs on this page, which is good place to start when looking at bar graphs.

Children can see what the pictures are and how many of each picture there are. It is less abstract than looking at bars.

With the picture graphs, each picture represents either one or two units.

Using these bar graphs 2nd grade will help your child to:

• read and answer simple questions about picture graphs;
• read and interpret bar graphs with a scale going up in ones;
• draw correctly-sized bars;
• answer questions involving data.

The worksheets have been split up into 2 different sections below.

The first section contains picture graph worksheets, and the second section contains bar graph worksheets.

2nd Grade Picture Graph Worksheet

• Picture Graphs 2a - Weather Survey
• PDF version
• Picture Graphs 2b - Bug Hunt
• Scaled Picture Graphs 2c - Sandwich Survey

2nd Grade Bar Graph Worksheet

• Bar Graphs 2a - Shape Survey
• Bar Graphs 2b - Pet Survey
• Bar Graphs 2c - Fruit Survey
• Bar Graphs 2d - Travel to School Survey

Looking for some easier bar graph worksheets?

These worksheets are at an easier level than those on this page.

They involve reading and interpreting simple questions about bar graphs and picture graphs.

The scale on these bar graphs go up in ones.

Using the link below will open up the main Math-Salamanders website in a new window.

• Bar Graphs First Grade

Looking for something a little harder?

These worksheets are at a harder level than those on this page.

They involve reading and interpreting more complex bar graphs going up in a range of different scales.

There are a selection of bar graphs, including graphs involving real-life data such as tree heights or insect speeds.

The questions involving the data are also harder.

Using the link below will open the webpage on the math-salamanders main website in a new browser window.

• Bar Graph Worksheets 3rd grade

More Recommended Math Worksheets

Take a look at some more of our worksheets similar to these.

• Venn Diagram Worksheets

If you are looking for some 2nd grade venn diagram worksheets then take a look at our latest selection.

We have a range of simple venn diagram worksheets which involve classifying and sorting a range of objects with different criteria.

Our venn diagram worksheets include sorting animals, shapes and numbers.

2nd Grade Line Plots Worksheets

These sheets involve reading and interpreting a range of line plots.

• Line Plots 2nd Grade

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This quick quiz tests your knowledge and skill at reading and interpreting bar graphs at a 2nd grade level..

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Free Printable Bar Graphs worksheets

Math Bar Graphs: Discover a collection of free printable worksheets to help students master the art of creating and interpreting bar graphs, enhancing their data analysis skills. Ideal for all math teachers!

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Explore printable Bar Graphs worksheets

Bar Graphs worksheets are an essential tool for teachers who want to help their students develop a strong foundation in math, data, and graphing skills. These worksheets provide a variety of engaging activities that allow students to practice reading, interpreting, and creating bar graphs, while also gaining a deeper understanding of the underlying concepts. Teachers can use these worksheets to create interactive lessons that encourage students to analyze and compare data, identify trends and patterns, and draw conclusions based on their observations. By incorporating Bar Graphs worksheets into their curriculum, educators can ensure that their students are well-prepared to tackle more advanced math and data analysis tasks in the future.

Quizizz is an innovative platform that offers a wide range of educational resources, including Bar Graphs worksheets, to support teachers in their mission to help students excel in math, data, and graphing. In addition to providing high-quality, engaging worksheets, Quizizz also offers interactive quizzes, games, and other learning tools that can be easily integrated into the classroom. Teachers can use Quizizz to track student progress, identify areas for improvement, and tailor their instruction to meet the unique needs of each learner. By incorporating Quizizz into their teaching strategies, educators can create a dynamic, student-centered learning environment that fosters a deep understanding of graphing data and other essential math concepts.

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Here we will learn about bar charts, including constructing and interpreting bar charts, comparative bar charts and compound bar charts.

There is also a bar chart worksheet based on Edexcel, AQA and OCR exam questions, along with further guidance on where to go next if you’re still stuck.

What is a bar chart?

A bar chart is a representation of a data set by using vertical or horizontal bars. The larger height of the bar, the higher the value for the individual category.

To draw a bar chart we need the following:

• A pair of axes. Usually the horizontal axis ( x -axis) is labelled with the categories of the data set and the vertical axis ( y -axis) is the frequency. Your axes must be labelled.
• The frequencies need to be labelled 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 charts are represented vertically they are sometimes called column charts.

Bar charts can also be represented horizontally where the vertical axis represents each class and the horizontal axis represents the frequency.

The bar chart below represents the frequencies of people’s favourite colour.

Bar charts can display numerical or categorical data . 

The numerical data is discrete because the frequency will be something which is counted . This bar chart is showing categorical data (also known as qualitative data ) each colour is a category. The horizontal axis has the category labels (Red, Yellow etc) and the vertical axis is labelled as a frequency.

Here, the taller the bar, the higher the frequency.

A grouped bar chart or histogram would be used for continuous data .

Types of bar chart/ bar graph

There are several different bar chart types.

The main benefit of using a bar chart to represent data is that we can quickly calculate statistics such as the mean , mode and range for a set of data. This allows us to spot certain trends and to compare the data against other data sets.

How to construct a bar chart

In order to construct a bar chart:

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.

Explain how to construct a bar chart

Bar chart worksheet

Get your free bar chart worksheet of 20+ questions and answers. Includes reasoning and applied questions.

Related lessons on representing data

Bar chart  is part of our series of lessons to support revision on  representing data . You may find it helpful to start with the main representing data lesson for a summary of what to expect, or use the step by step guides below for further detail on individual topics. Other lessons in this series include:

• Representing data
• Frequency polygon
• Scatter graphs
• Two way tables
• Frequency diagram
• Frequency graph
• x and y axis
• Time series graph
• Tally chart
• Stem and leaf diagram

Bar chart examples

Example 1: constructing a standard bar chart.

Draw a bar chart to represent the frequency of coloured cars that triggered a speed camera on a busy road during one month.

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

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

3 Give the chart a title.

Example 2: construct a bar chart using numerical data

The table below shows the number of goals scored in 25 matches. Represent this information in a bar chart.

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.

Example 3: constructing a comparative bar chart

The table below shows the student destinations from a sixth form college to the original six UK red brick universities over the past 5 years.

Draw a comparative bar chart to represent the data.

As we are constructing a comparative bar chart, we need each category to be slightly wider so that we can clearly see two vertical bars in each category. Each bar must be the same width, and the categories must have a space between them. There does not need to be a space between the two bars within the same category.

As the categories are the original six red brick universities, these will be the labels for the horizontal axis. Frequency will be the label for the vertical axis.

As we are looking at a comparative bar chart, we must also include a legend / key to inform the reader about what each bar represents. Here we have used Red for Male frequency, and Green for Female frequency.

Example 4: construct a compound bar chart (percentages)

The table below shows the percentage of students from three classes and their favourite music genre.

The horizontal axis is labelled with the three classes, and the vertical axis is labelled as percentage. Each bar can then be divided proportionally into the five categories of Favourite music genre, which we will label using a key.

Similar to the construction of a pie chart, each category within the pie chart lies next to the previous, but with a compound bar chart, the next category is stacked above. As the total percentage for each class is 100\% , each bar should reach the value 100\%.

Example 5: construct a compound bar chart (frequency)

An Academic Mentor is researching the favourite STEM subject of 68 students across Year 12 and Year 13. The results are shown in a table below.

Represent the frequencies of the favourite STEM subjects for students in each year group, using a compound bar chart.

The horizontal axis should be labelled with the two year groups as it is the frequencies of the STEM subjects that is being highlighted in the bar chart. 

The vertical axis is therefore labelled as frequency. The total frequency for each year group is 32 and 36 and so the scale must reach 36.

Do not include a break on either axis. 

As we have a compound bar chart, we also need a key.

As the chart is a compound bar chart, each frequency for the STEM subject should be drawn above the previous bar, and labelled with the correct colour.

Analysing bar charts

There are two approaches when analysing data represented in a bar chart, depending on what information you are collecting from the chart. 

• Option 1: how to determine a frequency

If we want to state how many items of data are in a category / categories, calculate averages (mean, mode, range), or compare the size of two bars, we need to determine the value(s) from the vertical axis. This will give us the frequency / frequencies required to then use in the solution.

In order to determine a frequency from a bar chart:

Locate the necessary bar(s).

Read the frequency from the vertical axis.

Complete the calculation.

• Option 2: how to determine the category

If we need to determine a category from a frequency from a standard bar chart, we need to locate the required bar(s) and read the category label from the horizontal axis. If you have a composite / compound bar chart, you will also have to use the legend.

In order to determine a category from a bar chart:

•  (Comparative or compound bar chart only) Use the legend to determine the specific category within the bar(s).

Use the vertical axis to determine the size of the bar(s) required.

Read the category label on the horizontal axis.

Analysing bar chart examples

Example 6: determine a frequency from a standard bar chart.

Below is a bar chart that represents the number of minutes of exercise per day for an adult, over one week.

How many more minutes of exercise did she do on Saturday compared to Tuesday?

The two bars that we need to locate are Saturday and Tuesday.

The frequency is read from the top of the bar. 

For Saturday, the number of minutes of exercise is 106.

For Tuesday, the number of minutes of exercise is 68.

As we want to calculate how many more minutes of exercise she did on Saturday compared to Tuesday, we need to calculate the difference between the two values.

106-68 = 38

She did 38 minutes more exercise on Saturday compared to Tuesday.

Example 7: determine a category from a comparative bar chart

A somnologist is recording the sleep data for a patient between 10pm and 6am over four nights. He records the length of time the patient is in a different stage of sleep as a percentage. He records the results in a compound bar chart.

Which night did the patient have the least amount of Light sleep?

(Comparative or compound bar chart only) Use the legend to determine the specific category within the bar(s).

As we are comparing the amount of Light sleep, we need to look at the size of each yellow section on the bar chart.

It isn’t completely clear which bar will answer the question and so we need to calculate the percentages of Light sleep for each day. To do this, we need to calculate the height of the Light sleep section of each bar.

Using the vertical axis, the Light sleep section for Night 1 has the two readings 30\% and 80\%. We can therefore say that the height of this section is 80-30=50\%.

For Night 2, the readings are 30\% and 82\% and so the height of the section is 82-30=52\%.

For Night 3, the readings are 18\% and 86\% and so the height of the section is 86-18=68\%.

For Night 4, the readings are 30\% and 95\% and so the height of the section is 95-30=65\%.

The night with the least amount of time in Light sleep is Night 1 as the patient has the lowest percentage of time in this stage at 50\%.

Common misconceptions

• Gaps between bars

There should be gaps between the bars so that data is easy to read.

• Inconsistent labelling on each axis

Each axis must be labelled in equal steps. This will help keep the bars at an equal width, and the height of each bar remains consistent.

• Reading the highest value of a section from a compound bar chart for a frequency

To determine the frequency of a section within a compound bar chart, we need to record the values where the section starts and finishes. The difference between these two values is the frequency. If we break a compound bar chart into pieces, the bar is made from small blocks stacked on top of each other, not towers of blocks in front of each other.

• Not labelling axis

The horizontal and vertical axes need to have data labels.

• Bars of equal width

The bars need to be of equal width

• Using a bar graph for continuous data

Bar charts should only be used for discrete or categorical data. A histogram should be used for continuous data.

Practice bar chart questions

1. The table below provides information about the favourite snack of 25 students. Represent this information in the form of a bar chart.

The bars are all drawn at the correct height, equal width apart with an equal space between each bar. The horizontal axis is labelled with the snack choices and the vertical axis is labelled as counting numbers, starting from 0 on the horizontal axis.

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

The horizontal axis is labelled with the bouquet style and the vertical axis is labelled 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. 34 students in Class 7 C were asked about what they eat for breakfast. Below is a table of their results. Represent this data using a comparative bar chart.

A comparative bar chart has multiple bars for each category. There are gaps between each category and each bar should be the correct height. The key is correctly labelled for each subcategory.

4. The table below shows the percentage popularity of different film genres for three age groups. Represent this data in a compound bar chart.

The horizontal axis is labelled as the age categories and the vertical axis as percentage. As the bar chart is compound, the subcategories are stacked on top of each other. Each bar is still the same width. The key/legend matches the bar chart and labels the correct subcategories correctly.

5. The table below describes the make of second hand cars and the city they were distributed to for resale. Using the set of axes below, complete a compound bar chart to represent the data.

The bars are all drawn at the correct height, equal width apart with an equal space between each bar but no gap between the bars of each category. The vertical axis is labelled frequency and the scale goes up in equal steps. The key links correctly to the graph.

6. A sample of 318 students from Year 10 and Year 11 were asked about their favourite team sports. The results were represented in a comparative bar chart.

Use the bar chart to calculate the probability of choosing a student in Year 11 who chose Basketball as their favourite team sport.

The frequency of Year 11 students who chose Basketball is 32.

The total frequency of students is 318.

The probability of a Year 11 student choosing Basketball out of the sample is \frac{32}{318}.

Bar chart GCSE questions

1. John asked 110 gym members about their main type of exercise carried out in the gym. The bar chart shows the results of his research.

Complete the bar chart.

2. The bar chart below shows the type of transport that a sample of people use to get to work.

Give two reasons why this bar chart is misleading.

Bars not equal width

Vertical axis does not start at zero

3. This chart shows the number of boys and girls on the School Council in each group.

(a) Which year group has the most boys on the school council?

(b) Which year group has an equal number of boys and girls on the school council?

(c) How many more girls are there in Year 8 than in Year 7 on the council?

(d) There are 280 students in Year 8. What proportion of Year 8 students are on the School Council? Write your answer as a fraction in the simplest form.

(a) Year 10

(c) 7 and 4

(d) \frac{14}{280}

Learning checklist

You have now learned how to:

• Interpret and present data using bar charts
• Solve one-step and two-step questions [for example ‘How many more?’ and ‘How many fewer?’] using information presented in scaled bar charts

The next lessons are

• Mean, median, mode
• Frequency table
• Cumulative frequency

Still stuck?

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Bar Graph Worksheets Grade 7

Bar Graph worksheets 7th grade can be used to get a better understanding of how to use bar graphs. These grade 7 math worksheets are based on drawing bar graphs from a given set of data points, interpreting bar graph results, and solving word problems based on a given bar graph.

Benefits of 7th Grade Bar Graph Worksheets

Bar graphs are widely used in the field of statistics and hence, it is very important for students to be well versed with this topic. The problems that are given in the bar graph worksheets 7th grade help in improving a student's logical, analytical, and interpretation abilities to ensure that a student does not get confused while solving questions, they are arranged in increasing order of difficulty

Printable PDFs for Grade 7 Bar Graph Worksheets

The bar graph worksheets 7th grade pdfs are easy to use, flexible, interactive, and provide several visual simulations

• Math 7th Grade Bar Graph Worksheet
• 7th Grade Bar Graph Math Worksheet
• Seventh Grade Bar Graph Worksheet
• Grade 7 Math Bar Graph Worksheet

Explore more topics at Cuemath's Math Worksheets .

Bar Graph – Definition, Types, Examples, Practice Problems, Facts

What is a bar graph, elements of a bar graph, types of bar graph, solved examples on bar graph, practice problems on bar graph, frequently asked questions on bar graph.

A bar graph can be defined as a graphical representation of data, quantities, or numbers using bars or strips. They are used to compare and contrast different types of data, frequencies, or other measures of distinct categories of data. For example,

The above graph shows how many students like which season. The seasons are listed as spring, summer, fall, or winter on the bottom horizontal axis of the graph. The number of students is written on the vertical axis as 0, 1, 2…

The rectangles drawn on the bar charts are called “bars”. The bars display the number of items under particular categories.

There are two axes present on the graph. One axis is used to represent the numerical values whereas the other represents the categorical data against which the numerical data is plotted.

In the same example, 

The seasons on the x-axis represent the categorical data and the number of students on the y-axis represents the numerical possible values. And the blue bars represent the number of students pertaining to each category or season.

Related Worksheets

Properties of Bar Graph

• A bar graph is the representation of numerical data by rectangles (or bars) of equal width and varying height. 
• The gap between one bar and another should be uniform throughout. 
• It can be either horizontal or vertical. 
• The height or length of each bar relates directly to its value.

Horizontal: Here, the bars are drawn horizontally from left to right. The data categories are placed on the vertical axis and numerical values are placed on the graph’s horizontal axis.

Vertical: Here, the bars are drawn vertically from down to top. The data categories are placed on the horizontal axis, and the numerical values are placed on the graph’s vertical axis.  

Grouped: This graph represents related sets of data. Each set of data is graphed separately but on the same graph. The key explains which set of data is shown by the graph.

For example, in the above graph, the blue bar represents the number of students in Class A that prefer a particular fruit, the orange bar represents the number of students in Class B, and the green bar represents the number of students in Class C that prefer a particular fruit.

How to make a Bar Graph?

Let’s try representing the given data on a graph.

Step 1: Decide the scale and interval for your numerical values. The scale refers to the counting sequence we will place on the axis. For smaller values, we simply go with the counting sequence 1, 2, 3… but for larger values, we can also pick a counting sequence with some interval of numbers between each value. For example, 5, 10, 15… 

Step 2: Label the horizontal and vertical axes to describe the information.

Here, we are drawing a vertical bar graph , so we will place the categorical data on the x-axis and the numerical values on the y-axis.

Step 3: Draw bars corresponding to each category. For example, since there are 8 pencils, draw a rectangle over the “pencil category” with the length of the rectangle as 8 units. Similarly, draw other bars corresponding to each category with the same breadth as the first bar.

Step 4: Label the graph with a title.

Example 1: Draw the horizontal bar graph for the given data set between the number of people and their preferred beverage.

Example 2: Create a bar graph for the given data set.

Example 3: Draw a bar graph for the given data set.

Example 4: Read the following graph and answer the questions.

• Which is the most popular club?
• How many more students than the math club does the science club have?
• How many students are in the sports club?
• Find the total number of students in the clubs. 
• The movie club is the most popular club.
• Number of students in Science Club $= 21$

Number of students in Math Club $= 15$

$21$ $–$ $15 = 6$

So, 6 more students are in the science club than in the math club.

21 students are in the sports club

Total number of students $= 15 + 21 + 16 + 25 + 23 = 100$

Bar Graph - Definition with Examples

Attend this quiz & Test your knowledge.

Use the given graph to find out the topping most liked by the students.

The given graph shows the data about the sale of the dresses over four months. One bar is missing from the graph. If 78 dresses are sold in these four months, which bar shows the number of dresses sold in July?

Which sport is liked by the least number of people?

The average marks scored by four different classes of boys and girls are shown in the given graph. What is the average score of Class C?

Why do we need to learn data representation?

Data representation gives a clear idea of what the information means by giving it visual context through graphs. It makes the data easy to understand.

What is the advantage of a bar graph?

It represents the data set in a visual form, which helps to observe and analyze the data easily.

What are some other types of pictorial charts?

• Histogram, etc.

Why are titles and labels necessary in a bar graph?

The title and labels give information about the number of items under certain categories which is essential for reading the graph .

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• Horizontal – Definition with Examples
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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

• Worksheet on Frequency Distribution
• Worksheet on Mean Median and Mode
• Worksheet on Pie Graph
• Worksheet on Line Graph

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10+ Free Interactive Bar Graph Worksheets 3rd Grade

These free interactive bar graph worksheets 3rd grade will help the students develop a basic idea of bar graphs and also improve their visual sense of reading graphs. You may get an idea from these line graph activities before starting the discussion.

10 Interactive Bar Graph Worksheets for 3rd Grade

Here, we have inserted 11 interactive bar graph worksheets for 3rd grade. Students above 3rd grade can also practice the worksheets and increase their skills in the sector of graphs. These bar graphs will help you to expertise in data analysis skills.

Treasure Hunt

Fruit Survey

Counting Bugs

Fastest Animal

Burger Eating Contest

Weather Graph

Favorite Game

Reading Bar Graph

Tally Chart

Planetary Survey

Bar Graph: Definition and Making a Bar Graph

A bar graph is a type of chart or graph that uses rectangular bars to represent and compare different categories of data. It is a visual way of displaying information, making it easier to understand and analyze.

• Let’s say we want to make a bar graph to show the number of fruits each student in a class likes. We can start by choosing different fruits like apples, oranges, bananas, and grapes.
• First, draw a vertical or horizontal line on a piece of paper to create the base of your graph. This line is called the “ axis .” The vertical axis goes up and down, and the horizontal axis goes left to right.
• Next, think of a title for your graph, like “ Favorite Fruits in Our Class “. Write the title above or below the axis.
• Now, draw rectangles or bars above or beside the axis. Each bar represents a fruit category. For example, draw a bar for “ apples ” by starting from the bottom of the axis and going up to a certain height. Do the same for the other fruits, making sure the bars are all the same width.
• To make it more fun, you can use different colors for each fruit. For example, color the apple bar red, the orange bar orange, the banana bar yellow, and the grape bar purple.
• Lastly, label the vertical or horizontal axis with numbers or words to show the quantity or names of the fruits. You can use numbers to represent the number of students who like each fruit or write the names of the fruits directly.

Now you have a bar graph showing the number of students who like each fruit in your class!

Note : Remember, the taller or longer the bar, the more students like that fruit. Bar graphs help us see and understand information easily, especially when we want to compare different categories.

Scaled Bar Graph for 3rd Garde: Treasure Hunt

Here, in these bar graph worksheets for 3rd-grade students, we have plotted the number of treasures found by students. Answer the simple question from the graph. Read the graph from this PDF worksheet.

Counting and Interpreting Bar Graph: Fruit Survey

In this section, we have attached a worksheet of a fruit survey. A 3rd grader student needs to interpret the bar graph and answer the question about the graph.

This is the PDF for the bar graph worksheets 3rd grade. Try to solve this.

Counting Bugs and Creating a Bar Graph

In this section, there are lots of fun animated bugs. You need to plot them in a bar graph and then answer the simple question. Identify the bugs and create a bar graph. Observe the graph carefully to give the right answers.

The PDF of the bar graph worksheets for 3rd grade is here.

Fastest Animal in a Farm Bar Graph

Here, we have given some animals listed on a farm and plotted them in a bar graph. Answer the questions from the sheet.

Here are the bar graph worksheets for 3rd grade to answer the easy questions from this PDF.

Bar Graph on Burger Eating Contest for 3rd Grade

Here the numbers of eating burgers are plotted into a bar graph. Answer the simple question by reading the graph.

This is the bar graph worksheets 3rd grade. Answer these simple questions.

Plotting Weather Bar Graph for 3rd Grade

Here, we have plotted the average temperature for different months. Practice the worksheet to give the answers to the questions correctly.

Here is the PDF of bar graph worksheets 3rd grade for plotting weather graph.

Making Favorite Game in a Bar Graph

What’s your favorite game? Is it soccer? Or is it basketball? We surveyed different students’ favorite games and then plotted them in the bar graph. Read the graph and from this data.

Answer the questions from this bar graph worksheets for 3rd grade.

Creating a Reading Bar Graph for 3rd Grade

This bar graph is all about finding the real number of elements from the graph.

Try to solve this PDF of bar graph worksheets 3rd grade.

Tally Chart to Show Bar Graph for 3rd Grade

You may be introduced to a tally chart earlier in your class. It is a number-counting process with the help of a tally. So, in this worksheet, you will find out some necessary utilities for a student while going to class. The amount is represented in a tally. From the tally chart, you need to plot a bar graph and answer the simple questions.

In this PDF the bar graph worksheets 3rd grade is shown with the tally chart. Draw the bars with the help of the tally chart.

Title, Labeling Axis, Scaling in a Bar Graph for Planetary Survey

In our exciting Planetary Survey, we create a special bar graph to learn about the planets in our Solar System. Using a vertical and horizontal axis, we label the planets and interesting facts. Each planet gets its own colorful bar, with the height showing the number of satellites for each planet.

Practice this PDF of bar graph worksheets 3rd grade properly for labeling, scaling, and graphing.

Download Practice Worksheet PDF

This is the combined PDF attaching all the worksheets.

So, these are the bar graph worksheets 3rd grade PDF. These free interactive worksheets help the students to realize the basics of bar graphs and also they will be able to read the graphs by answering the questions. Please, download the free printable worksheets for practice.

Welcome to my blog. I am Fahim Shahriyar Dipto. Currently, I am working as a content developer in You Have Got This Math. I will post math-related articles here from now on. I have completed my bachelor’s degree in Mechanical Engineering from BUET. So, I am a mechanical graduate with a lot of interest in research and exploring new work. I always try to think of something creative and innovative. So, I choose to write creative content here.

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• Maths Questions

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:

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?

(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?

(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?

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?

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:

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?

(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.

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.

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

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

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?

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?

(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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