We will learn how the data is presented in the bar graph.

Bar charts are one of the many ways that data is presented in visual form. Bar charts usually show data grouped in intervals that represent the frequency of values in a specific interval.

Data can be represented by bars (like rectangles) whose lengths represent numerical values. You can use horizontal or vertical bars. Instead of using one-way rectangles, even use line segments in such diagrams.

**frame**

To represent different numbers, we must first decide which number represents a unit of length of the bar. For example, if the data relates to the population of the villages, we can select 1 cm from the bar to represent 500 people. This relationship between the unit length of the bar and the amount it represents is known as the scale of the bar graph. The selected scale is sometimes mentioned in the bar graph. In this case the scale would be 1 cm: 500 people.

You can choose any scale for a diagram. Obviously, the scale should be such that the entire base of the diagram fits on the paper it is drawn on.

The interval is the distance between the individual values on the scale of a bar chart. They are selected based on the range of values in the data set.

Solved examples in the bar chart:

**1.** Take a look at the bar graph below and answer the following questions.

**Answer the following questions.**

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

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

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

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

**Solution:**

The graph above shows a relationship between the number of students who have read the books. Here we find that the interval chosen on the x-axis is 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 under 11. The numbers on the y-axis show: 10 + 8 = 18.

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

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

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

Questions and answers about the bar chart:

**1. Choose the correct answer.**

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

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

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

(a) Data processing (b) Line marking (c) Bar chart (d) Pictogram

(iii) All bars in a bar graph are the same:

(a) size (b) width (c) length (d) axis

**Reply:**

**1.** (i) (c) 4

(ii) (d) Pictogram

(iii) (b) width

**2. Choose the correct answer and fill in the blank.**

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

(a) Data (b) Tally Mark (c) Data processing (d) Pictogram

**Reply:**

**2.** (a) data

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

**(i) What sport is liked by maximum students?**

(a Cricket

(b) badminton

(c) chess

(d) soccer

**Reply:** (b) badminton

**(ii) What sport are minimum school students liked?**

(a Cricket

(b) badminton

(c) chess

(d) soccer

**Reply:** (c) chess

**(iii) Which sport are liked by the same number of students?**

(a) Cricket and Chess

(b) cricket and soccer

(c) badminton and soccer

(d) None of these

**Reply:** (b) cricket and soccer

**(iv) How many students like chess?**

(a) 3

(b) 4

(c) 6

(d) 10

**Reply:** (d) 10

**(v) How many students like cricket?**

(a) 10

(b) 15

(c) 20

(d) 25

**Reply:** (b) 15

**(vi) What sport do 10 students like?**

(a Cricket

(b) badminton

(c) chess

(d) soccer

**Reply: **(c) chess

**4th** The number of students in 5 different classes in a school is given below. Read the data and present it on a bar graph.

**5.** A survey of 36 students in a class was carried out to find out what mode of transport they use to commute to their school. The data collected are shown in the table below. Present the data in the form of a bar chart.

**Now answer the questions asked:**

(i) Provide an appropriate title for the graphic.

(ii) How many students come by car?

(iii) What mode of transport do most students use?

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

**Reply: **

(ii) 4

(iii) school bus

(iv) 32

**6th** Below is the data that indicates the number of hours students spent watching television. Draw a bar graph for the information given.

**5.** Send the students to a school **thanks** Cards to the soldiers on the border. Note the following graphic.

**Now answer the questions asked:**

(i) How many students did less than 51 cards?

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

(iii) What is the maximum number of students in the interval?

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

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

**Reply:**

(i) 35

(ii) 15

(iii) 26-50

(iv) 20

**6th** Below is the date on which the age of the students participating in the “Poster Making Competition” at the school is indicated. Draw a bar graph for the information given.

(i) The maximum number of pets is dog.

(ii) Just a parrot.

(iii) Six times parrots are cats.

(iv) Two fewer than cats are rabbits.

(v) Twice as many rabbits are goats.

(vi) One less than rabbits are turtles.

**Reply:**

**7th Below is the date on which the age of the students participating in the “Poster Making Competition” at the school is indicated. Draw a bar graph for the information given. **

**5th grade math problems**

**From the bar chart to the home page**

**Did you not find what you were looking for? Or want to know more information aboutMath only math.
Use this google search to find what you need.**