Bar Graph

We learn how to represent the data on the bar graph.

Bar graphs are one of the many methods used to present data in a visual form. Bar graphs usually present data grouped in intervals, which depicts the frequencies of values in a particular interval.

Data can be represented by bars (like rectangle) whose lengths represent numerical values. One can use horizontal or vertical bars. Instead of rectangles one way even use line segments in such graphs.

Scale

To represent different numbers, first we need to decide what number a unit length of the bar represents. For example, if the data is of the population of villages, we can choose 1 cm of the bar to represent 500 people. This relation between the unit length of the bar and the quantity it represents is called the scale of the bar graph. The chosen scale is sometimes mentioned in the bar graph. In this case, the scale would be written as 1 cm : 500 people.

One can choose any scale for a graph. Obviously, the scale should be such that all the base of the graph fit on the paper on which it is drawn.

Interval is the space between each value on the scale of a bar graph. They are chosen based on the range of the values in the data set.

Solved Examples on Bar Graph:

1. Observe the bar graph given below and answer the questions that follow.

(i) How many students have read less than 11 books?

(ii) How many students have read 15 - 20 books?

(iii) How many students have read 25 - 30 books?

(iv) How many students have read more than 15 books?

Solution:

The above graph is showing a relationship between number of students are the books read. Here we find that the interval chosen on the x-axis are 1 - 5, 6 - 10, 11 - 15, 15 - 20 and 25 - 30.

(i) The two bars on the x-axis(1 - 5, 6 - 10) show the number of students who have read books less than 11. The numbers on the y-axis show: 10 + 8 = 18.

(ii) The number on the y-axis corresponding to the bar 15 - 20 shows 11 students.

(iii) The number on the y-axis corresponding to the bar 25 - 30 shows 3 students.

(iv) The two bars on the y-axis show the number of students who have read books more than 15 books. The numbers on the y-axis show: 11 + 3 = 14.

Questions and Answers on Bar Graph:

(i) If one block in a bar graph represents 5 students, how many blocks will represent 20 students?

(a) 2               (b) 3               (c) 4               (d) 5

(ii) The representation of data in the form of pictures is a:

(a) Data Handling       (b) Tally Mark      (c) Bar Graph      (d) Pictograph

(iii) All bars in a bar graph have equal:

(a) Size               (b) Width              (c) Length               (d) Axis

1. (i) (c) 4

(ii) (d) Pictograph

(iii) (b) Width

2. Choose the right answer and fill in the blank.

(i) __________ can be represented by both words and numbers.

(a) Data        (b) Tally Mark      (c) Data Handling       (d) Pictograph

2. (a) Data

3. Look at the bar graph given below and answer the questions.

(i) Which sport is liked by maximum students?

(a) Cricket

(c) Chess

(d) Football

(ii) Which sport is liked by minimum students?

(a) Cricket

(c) Chess

(d) Football

(iii) Which sport is liked by equal number of students?

(a) Cricket and Chess

(b) Cricket and Football

(d) None of these

(iv) How many students like Chess?

(a) 3

(b) 4

(c) 6

(d) 10

(v) How many students like Cricket?

(a) 10

(b) 15

(c) 20

(d) 25

(vi) Which sport is liked by 10 students?

(a) Cricket

(c) Chess

(d) Football

4. Number of girl students in 5 different classes of a school is given below. Read the data and represent it through a Bar Graph.

Classes

I

II

III

IV

V

Number of Girls

75

125

100

200

225

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

Mode of Transport

Cycle

School Bus

Walking

Car

No. of Students

6

16

10

4

(i) Give a suitable title for the graph.

(ii) How many students come by car?

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

(iv) How many students do not travel by car?

(ii) 4

(iii) School Bus

(iv) 32

6. Given below is the data showing the number of hours spent by the students in watching television. Draw a Bar Graph for the given information.

Hours

0 - 2

3 - 5

6 - 8

9 - 11

Number of Students

12

16

8

4

5. The students in a school are sending Thank You cards to the soldiers at the border. Observe the graph given below.

(i) How many students have made less than 51 cards?

(ii) How many students have made 76 - 100 cards?

(iii) Which interval has the maximum number of students?

(iv) How many students have made more than 75 cards?

(v) How many people would you like to Thank?

(i) 35

(ii) 15

(iii) 26 - 50

(iv) 20

6. Given below is the date showing the age of students participating in 'Poster making Competition' in school. Draw a bar graph for the given information.

(i) maximum number of pets are dog.

(ii) Only one parrot.

(iii) Six times parrot are cats.

(iv) Two less than cats are rabbits.

(v) Double the rabbits are goats.

(vi) One less than rabbits are tortoise.

7. Given below is the date showing the age of students participating in 'Poster making Competition' in school. Draw a bar graph for the given information.

Age (in Years)

5 - 8

9 - 11

12 - 15

15 - 18

Number of Students

90

75

150

170

8. The data from the table has been used for making a bar graph to show Alexander's marks in the different subjects in a test. The maximum marks for each subject are 20.

 Subjects Marks MathsEnglishHindiEVSPainting 1816151320

Similar to a pictograph, a bar graph helps us to compare the information and understand it in the right manner.

Looking at the above bar graph we can say that

Alexander got maximum marks in Painting.

He got the minimum marks in EVS.

He got the second highest position in Maths.

Note: Every bar graph must have a title explaining the information given in the graph and the label explaining the scales.

You might like these

• Worksheet on Bar Graphs | Bar Graphs or Column Graphs | Graphing Bar

In math worksheet on bar graphs students can practice the questions on how to make and read bar graphs or column graphs. Test your knowledge by practicing this graphing worksheet where we will

• Worksheet on Pictographs | Picture Graph Worksheets | Pictograph Works

In worksheet on pictographs, all grade students can practice the questions on data handling. We can present the given information in many ways. In pictograph the information is presented by using a picture as symbol. A pictograph has a title and a key.

• Worksheet on Pie Chart | Questions on Pie Graphs | Creating Pie Chart

In math worksheet on pie chart students can practice different types of questions on pie graphs. From the given data we need to calculate the central angle of the components to construct the questions

• Construction of Pie Chart | Steps of Construction | Solved Examples

The pie chart is a pictorial representation of data relative to a whole. Each portion in the circle represent an element of the collected data. The pie chart represents the composition of various elements in a whole. The total value of the pie chart is always 100%.

• Interpreting a Pictograph | Information Regarding the Pictograph |Math

In interpreting a pictograph, we get a lot of information regarding the pictograph items. The following examples may illustrate the interpretation of pictographs.

• Pictograph to Represent The Collected Data | Forming Pictograph | Math

Pictures or symbols are made in a pictograph to represent the collected data. So, we can say that a pictograph represents the data and gives information quickly and clearly.

• Examples of Pictographs |Pictorial Representation|Pictograph Questions

Some sample examples of pictographs or pictorial representation are shown, how the objects are used to give information regarding mathematical data. Read the pictograph and gather the information

Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

Recent Articles

1. Constructing a Line Segment |Construction of Line Segment|Constructing

Aug 14, 24 09:52 AM

We will discuss here about constructing a line segment. We know how to draw a line segment of a certain length. Suppose we want to draw a line segment of 4.5 cm length.

2. Construction of Perpendicular Lines by Using a Protractor, Set-square

Aug 14, 24 02:39 AM

Construction of perpendicular lines by using a protractor is discussed here. To construct a perpendicular to a given line l at a given point A on it, we need to follow the given procedure

3. Construction of a Circle | Working Rules | Step-by-step Explanation |

Aug 13, 24 01:27 AM

Construction of a Circle when the length of its Radius is given. Working Rules | Step I: Open the compass such that its pointer be put on initial point (i.e. O) of ruler / scale and the pencil-end be…

4. Practical Geometry | Ruler | Set-Squares | Protractor |Compass|Divider

Aug 12, 24 03:20 PM

In practical geometry, we study geometrical constructions. The word 'construction' in geometry is used for drawing a correct and accurate figure from the given measurements. In this chapter, we shall…