NCERT Solutions Class 3 Maths Chapter 13

NCERT Solutions for Class 3 Mathematics Chapter 13

The NCERT Solutions for Class 3 Mathematics Chapter 13 by Extramarks is an effective and effortless way to solve complicated questions in NCERT textbooks. The experienced faculty at Extramarks has ensured that each answer is written in detailed and simple language. This ensures a thorough and deep understanding of the concepts involved which means the child is able to develop the skills required to confidently ace the topic. 

NCERT Solutions for Class 3 Mathematics Chapter 13 - Smart Charts

(include NCERT Solutions for Class 3 Maths Chapter 13 Pdf)

Access NCERT Solutions for Class 3 Mathematics Chapter 13 – Smart Charts

NCERT Solutions for Class 3 Mathematics Chapter 13 – Smart Charts

The Class 3 Mathematics Chapter 13 introduces the child to the concept of data handling. Collecting, recording, and presenting data is a crucial skill with multiple applications in academics as well as other areas of life. Through this chapter, the child learns the art of giving data in the form of bar charts and tables. 

To understand the concepts better, students must solve the practice questions given at the end of the chapter. Extramarks provides NCERT Solutions for Class 3 Mathematics Chapter 13 to help students solve the chapter questions accurately.


In simple terms, observation is the act of noticing the things around us by employing our senses. We use our eyes to see shapes, sizes, colors etc, our ears to differentiate between the sounds of cars, birds, and other audio sources, and so on. This process is referred to as observation and is helpful in familiarizing us with our surroundings. Without the act of observing we will feel lost and unable to navigate our way safely through everyday situations. The Class 3 Mathematics Chapter 13 aims to hone our skills in this area through the means of data collection and presentation.

How Do We Classify Things?

To classify something means to divide or split it into groups or categories based on certain similar attributes. We classify things after collecting them. You must have noticed your parents coming back from grocery shopping and sorting the purchased items based on their usage. For e.g., eggs go in the egg basket, soap goes in the bathroom, pulses go in their respective containers and so on. Thus, all the collected items are sorted into their places. This is the simplest example of sorting or classifying. Doing so makes it simpler for everyone to find and use the items.

Another example could be the clothes racks in a retail shop. You will notice that the clothes have been sorted based on their sizes and all the same sizes have been kept together. The clothes have also been sorted based on colour and design. This is how classification is done.

Data Handling

Once the data is collected and classified, the next step is handling the data. Data handling is the art of presenting the collected data in a clear manner to others so that they are able to make sense of it. Whoever is reading the data must be able to understand what it represents and what it is trying to tell the reader. Being able to clearly present the data is thus very important.

There Are Various Ways of Collecting Data

Data collection can be done in a number of ways. You can choose any method that you feel is right for your data. Some of the methods are:

  • Tally Marks
  • Pictorial Representation
  • Bar Chart

Tally Marks: Tally Marks is the easiest method of data handling because of their simplicity. In tally marks as explained in Smart Charts Class 3, 5 lines are used to count objects. The first four lines are drawn vertically and the 5th line is made diagonally over the 4 vertical lines. When one sees such a representation it denotes a count of 5. So, if there are 30 oranges, 20 bananas, and 10 apples, they can be depicted easily using tally marks.

Pictorial Representation: When we present the collected data in the form of pictures, it is referred to as pictorial representation. Symbols can also be used in pictorial representation.

Bar Graph: Bar graphs are fun to make and can give ample information to the reader. Bar graphs are a graphical depiction of data using rectangular bars of different heights. These bars are placed on 2 lines called axis which contain the information of data. One axis will contain numbers (for counting the data), and the other axis will contain the name of the data being counted.


In their pursuit of learning Mathematics Chart for Class 3, students will be able to widen their horizons and immensely broaden their knowledge in this topic. Data is not limited to just Mathematics; it finds application in a multitude of subjects as well as in day-to-day life. It forms an important building block to learn the various facets of data collection, handling, inference, and presentation in higher classes. We are well aware of how crucial this field is in competitive exams and as a career too! The Smart Charts Class 3 exercise questions are a source of immense practical knowledge on this topic. By subjecting students to practice questions that approach a problem from various perspectives, these questions serve as a means to enhance the child’s acumen in the subject.

FAQs (Frequently Asked Questions)
1. Define ‘data handling’ and list the various kinds of data handling methods.

Data Handling is the act of collecting information and recording it in an orderly manner so that it is meaningful to others. There are 3 ways of data handling:

–     Tally Marks

–     Pictorial Representation

–     Bar Graphs

2. What is the importance of Smart Chart Class 3 for children?

Chapter 3 lays the stepping stone for children to learn about data handling. The importance of learning about data handling cannot be emphasised enough, given its wide scope of application in various professions as well as in our daily life. It is a key subject in competitive exams as well. By introducing the child to data collection and representation through charts etc, the chapter offers them a window to the vast world of data.

3. How can Extramarks NCERT Solutions for Class 3 Mathematics Chapter 13 help students score better?

Extramarks’ NCERT Solutions for all standards and boards have been a reliable study material for students. By referring to the Extramarks NCERT Solutions for Class 3 Mathematics Chapter 13, students learn the step-wise process involved in solving even the trickiest questions with utmost accuracy and in the least amount of time. The detailed explanations designed by subject experts are accompanied by pictorial representations and plenty of examples to keep the child engrossed and enhance their experience with study time. By seeing the various methods enlisted in the solutions to approach a data handling problem, the child’s creativity is also sparked and they acquire the skill to approach a problem with an imaginative mind.  

4. Why is it important to learn to classify things?

Learning to classify is an important skill for children. Classification helps them make sense of their surroundings and familiarise themselves. It develops their ability to describe what they see and store information in the brain. It forms an important cognitive skill which also teaches them to organise and prioritise.