NCERT Solutions for Class 6 Maths Chapter 9

Exercise – 9.1

1. In a mathematics test the following marks were obtained by $40$ students. Arrange these marks in a table using tally marks.

(a) Find how many students obtained marks equal to or more than $7$

(b) How many students obtained marks below $4$?

Ans: 

(a) There are twelve students who obtained marks equal to more than $7$ .

(b) There are eight students who scored less than $4$.

2. Following is the choice of sweets for $30$ students of Class VI. 

Ladoo, Barfi, Ladoo, jalebi, Ladoo, Rasgulla, Jalebi, Ladoo, Barfi, Rasgulla, Ladoo, Jalebi, Jalebi, Rashulla, Ladoo, Rasgulla, Jalebi, Ladoo, Rasgulla, Ladoo, Ladoo, Barfi, Rasgulla, Rasgulla, Jalebi, Rasgulla, Ladoo, Rasgulla, Jalebi, Ladoo 

(a) Arrange the names of sweets in a table using tally marks.

(b) Which sweet is preferred by most of the students?

Ans:

(a) 

(b) The sweet which is most preferred is Ladoo.

3. Catherine threw a dice $40$ times and noted the number appearing each time as shown below:

Make a table and enter the data using tally marks. Find the number that appeared.

(a) The minimum number of times

(b) The maximum number of times. 

(c) Find those numbers that appear an equal number of times.

Ans: 

(a) The minimum number of times is $4$

(b) The maximum number of times is $5$ .

(c) The number that appear an equal number of times are $1,6$

4. Following pictograph shows the number of tractors in five villages:

(Image will be uploaded soon)

Observe the pictograph and answer the following questions:

(i) Which village has the minimum number of tractors? 

(ii) Which village has the maximum number of tractors? 

(iii) How many more tractors village C has as compared to village B. 

(iv) What is the total number of tractors in all the five villages?

Ans: 

(i) Village D has a minimum number of tractors.

(ii) Village C has a maximum number of tractors.

(iii) Village C has $3$ more tractors as compared to village B.

(iv) Total number of tractors in all five villages is $28$ .

5. The number of girl students in each class of a co-educational middle school is depicted by the pictograph.

(Image will be uploaded soon)

Observe this pictograph and answer the following questions:

(a) Which class has the minimum number of girl students? 

(b) Is the number of girls in class VI less than the number of girls in class V?

(c) How many girls are there in class VII? 

Ans: 

(a) Class VIII has a minimum number of girl students. 

(b) No, the number of girls in class VI is not less than the number of girls in class V

(c) There are twelve girls in class eight i.e. $3 \times 4 = 12$ girls

6. The sale of electric bulbs on different days of a week is shown below:

(Image will be uploaded soon)

What can be concluded from the above pictograph?

Ans: From the above pictograph it can be concluded that the maximum number of bulbs were sold on Sunday and the total numbers of bulbs sold in the given week were $86$ .

7. In a village six fruit merchants sold the following number of fruit baskets in a particular season:

(Image will be uploaded soon)

Observe this pictograph and answer the following questions:

(a) Which merchant sold the maximum number of baskets?

(b) How many fruit baskets were sold by Anwar?

(c) The merchants who have sold $600$ or more number of baskets are planning to buy a godown for the next season. Can you name them?

Ans: 

(a) Martin sold the maximum number of baskets.

(b) Total number of baskets sold by Anwar are $7 \times 100 = 700$ fruit baskets.

(c) Name of them are- Anwar, Martin and Ranjit Singh

Exercise – 9.2

Refer to page 6 - 8 for exercise 9.2 in the PDF

1. Total number of animals in five villages are as follows:

Prepare a pictograph of these animals using one symbol  (Image will be uploaded soon) to represent $10$ animals and answer the following questions: 

(a) How many symbols represent animals of village E? 

(b) Which village has the maximum number of animals? 

(c) Which village has more animals: village A or village C?

Ans:

(Image will be uploaded soon)

(a) There are $6$ symbols that represent animals of Village E.

(b) Village B has a maximum number of animals.

(c) From the above pictograph, village C has more animals than village A. 

2. Total number of students of a school in different years is shown in the following table:

A. Prepare a pictograph of students using one symbol  (Image will be uploaded soon) to represent 100 students and answer the following questions: 

(a) How many symbols represent total number of students in the year $2002?$

(b) How many symbols represent the total number of students for the year $1998$?

B. Prepare another pictograph of students using any other symbol each representing $50$ students. Which pictograph do you find more informative?

Ans: 

A.

(Image will be uploaded soon)

(a) There are $6$ symbols that represent the total number of students in the year $2002$ .

(b) There are $5$ and half of scale  symbols that represent total number of students for the year $1998$

B.

(Image will be uploaded soon)

From both the pictographs, pictograph B is more informative than A. 

Exercise – 9.3

1. The bar graph given below shows the amount of wheat purchased by government during the year $1998 - 2002$

(Image will be uploaded soon)

Read the bar graph and write down your observations. 

(a) In which year was the wheat production maximum? 

(b) In which year was the wheat production minimum?

Ans: 

(a) In the year $2002$ , there was maximum wheat production.

(b) In the year $1998$ , there was the minimum wheat production.

2. Observe this bar graph which is showing the sale of shirts in a readymade shop from Monday to Saturday.

(Image will be uploaded soon)

Now Answer the Following Questions: 

(a) What information does the above bar graph give? 

(b) What is the scale chosen on the horizontal line representing the number of shirts? 

(c) On which day were the maximum number of shirts sold? How many shirts were sold on that day?.

(d) On which day were the minimum number of shirts sold? 

(e) How many shirts were sold on Thursday?

Ans:

(a) The above bar graph gives the information of the sale of shirts in a readymade shop from Monday to Saturday.

(b) The chosen scale on the horizontal line representing number of shirts is 

$1$ unit $ = 5$ shirts. 

(c) The maximum  number of shirts are sold on Saturday. There were a total of $60$ shirts sold on that day.

(d) On Tuesday there were a minimum number of shirts sold.

(e) On Thursday, $35$ shirts were sold. 

3. Observe this bar graph which shows the marks obtained by Aziz in half yearly examination in different subjects:

(Image will be uploaded soon)

Answer the Given Questions: 

(a) What information does the bar graph give? 

(b) Name the subject in which Aziz scored maximum marks. 

(c) Name the subject in which he has scored minimum marks. 

(d) State the name of the subjects and marks obtained in each of them.

Ans:

(a) The above bar graph gives information of the  marks obtained by Aziz in half yearly examinations in different subjects. 

(b) Aziz scored maximum marks in Hindi. 

(c) Aziz scored minimum marks in Social Studies. 

(d) The name of the subjects are:  Hindi $ - 80$, English $ - 60$, Mathematics$ - 70$, Science $ - 50$ , Social Studies$ - 40$

Exercise – 9.4

1. A survey of 120 school students was done to find which activity they prefer to do in their free time:

Draw a bar graph to illustrate the above data taking a scale of $1$ unit length $ = 5$ students. Which activity is preferred by most of the students other than playing?

Ans:

By taking a scale of $1$ unit length $ = 5$ students, bar graph is shown below considering the above data

(Image will be uploaded soon)

2. The number of mathematics books sold by a shopkeeper on six consecutive days is shown below:

Draw a bar graph to represent the above information choosing the scale of your choice.

Ans: 

The bar graph of the above given data is as follows:

(Image will be uploaded soon)

3. Following shows the number of bicycles manufactured in a factory during the year 1998 to 2002. Illustrate this data using a bar graph. Choose a scale of your choice. 

(a) In which year were the maximum number of bicycles manufacturers? 

(b) In which year were the minimum number of bicycles manufactured?

Ans:

By taking a scale of $1$ unit length $ = 100$ bicycles we may draw a bar graph of above data as follows:

(Image will be uploaded soon)

(a) The maximum number of bicycles are manufactured in the year $2002$

(b) The minimum number of bicycles are manufactured in the year $1999$

4. Number of persons in various age groups in a town is given in the following table:

Draw a bar graph to represent the above information and answer the following questions. (take $1$ unit length $ = 20$ thousands) 

(a) Which two age groups have the same population?

(b) All persons in the age group of $60$ and above are called senior citizens. 

How many senior citizens are there in the town?

Ans: 

From the question, by taking a scale of $1$ unit length $ = 20$ thousands.  

The bar graph of above data as follows:

(Image will be uploaded soon)

(a) The two age groups which have same population are $30 - 44$ and $45 - 59$

(b) Senior citizens are the persons between the age group either from $60 - 74$ or from $75$above. Therefore number of senior citizens in the town 

$80000 + 40000 = 1$ lakh $20$ thousand

Hence, the number of senior citizens in the town is $1$ lakh $20$ thousand.

NCERT Class 6 Maths Chapter 9 – Free PDF Download

Chapter number nine of NCERT class 6 mathematics presents the concept of data handling. In this chapter students learn the concept of recording data, organising, and managing them.

Data handling is a complex concept, and Class 6 Maths Chapter 9 aims to simplify it. Understanding this concept requires conceptual knowledge, and this chapter intends to provide the same. It begins with an introduction to data and its application in daily life. There are a few real-life examples as well. After that, it gradually introduces the vital concepts like data recording, organising, etc. Along with these, candidates also get to learn more about pictograph, its interpretation, and the process of drawing one. They further come across various bar graphs as well in this chapter.

NCERT Solutions for Class 6 Maths Chapter 9 is available for free online in PDF format. Students can easily download them to enhance their exam preparations.

NCERT Solutions For Class 6 Maths Chapter 9 Data Handling – Topic - Wise Discussion

NCERT maths Class 6 Chapter 9 has a total of seven sub-topics. Here is a topic-wise brief:

1. Introduction

The introduction on Data Handling for Class 6 chapter begins with an introduction to data and its real-world applications.

2. Recording Data

Recording data is an essential part of daily life. Data handling Class 6 further explains this process. There are various processes of recording data and in this particular section students come across a specific process.

Here, an example has been used to simplify this process. A class picnic is taking place, and the teacher asks everyone’s name and their preferred fruit. The entire data is collected in two different methods, but one of them seems more manageable than the other.

This example presented in Data Handling Class 6 PDF; students learn how collecting data randomly can haphazard the entire process. It also prompts students to perform this example in real-life to understand it better.

3. Organisation of Data

Recording of data can be tiresome, if not organised properly. In this regard, students should know about this concept. Data handling for Class 6 explains this concept further. This section takes a queue from the previous example for this purpose and shows how to organise data.

Along with that, another example shows that a teacher wants to collect data regarding food preference for the mid-day meal programme. She assigns this task to one of her students. She uses columns to represent the choices, but another student suggested a better method of classifying that data. There are two more ways mentioned here that candidates can learn to segregate any data.

This section in NCERT Maths book Class 6 Chapter 9 solutions contains two more examples regarding the same topic. Students can study them thoroughly to learn more about data organisation.

4. Pictograph

Pictograph helps to identify data via visual representation. NCERT solution for Class 6 Maths chapter 9 introduces the topic of pictograph with a representation of a bookshelf. Students can quickly identify the number of books from this visual representation.

5. Interpretation of Pictograph

In this section of NCERT Class 6 Maths Data Handling students learn how to interpret data efficiently.

There are multiple examples in this section with a visual representation of data. It is then followed by questions which students need to answer by taking reference from the pictogram above. They can review their answers from the solutions provided immediately below the questions, to evaluate if they have understood the concept or not. In case of any difficulties, candidates must take the assistance of their teachers to resolve their queries.

NCERT solutions Class 6 Maths Chapter 9 offers a comprehensive solution to the following exercise.

6. Drawing a Pictograph

Class 6 Maths Ch 9 moves on to the topic of drawing a pictograph. Even though it is not hard to create a pictograph, some pictures can be hard to draw, if it represents multiple units. Thereby, students can opt for different symbols for this purpose. There are various examples and exercises in this section as well that help students further in study.

7. A Bar Graph

Even though pictograph is a valid option, representing data via them can be a time-consuming affair. Bar graphs can be a good alternative here. In this section of Class 6th Maths Chapter 9 candidates get an introduction to this method, and how it can save more time. There are two additional sub-sections under this topic, which are:

• Interpretation of bar graph.

• Drawing a bar graph.

Improve the Exam Preparations with NCERT Solutions

NCERT solutions for Class 6 Maths Chapter 9 help students to improve their exam preparations with its following features:

• NCERT solutions use simple language that helps students to comprehend the topics easily.

• They abide by the curriculum of CBSE helping students to keep a track of their preparations.

• Since subject experts are in charge of these study materials, they are accurate and error-free.

• These NCERT solutions offer an in-depth analysis of different topics, eliminating the need for any additional reference book.

NCERT solutions for Class 6 Maths Chapter 9 are available online for free. Students can download them in PDF format from the official website of Vedantu – India’s leading e-learning platform.

Chapter wise NCERT Solutions for Class 6 Maths

• Chapter 1 - Knowing Our Numbers

• Chapter 2 - Whole Numbers

• Chapter 3 - Playing with Numbers

• Chapter 4 - Basic Geometrical Ideas

• Chapter 5 - Understanding Elementary Shapes

• Chapter 6 - Integers

• Chapter 7 - Fractions

• Chapter 8 - Decimals

• Chapter 9 - Data Handling

• Chapter 10 - Mensuration

• Chapter 11 - Algebra

• Chapter 12 - Ratio and Proportion

• Chapter 13 - Symmetry

• Chapter 14 - Practical Geometry

Along with this, students can also view additional study materials provided by Vedantu, for Class 6 Maths Chapter 1 Knowing Our Numbers

• NCERT Books Class 6

• CBSE Class 6 Maths Syllabus

NCERT Solution Class 6 Maths of Chapter 9 All Exercises