NCERT Solutions Class 7 Maths Chapter 3

NCERT Solutions Class 7 Mathematics Chapter 3

NCERT Solutions for Class 7 Mathematics Chapter 3 Data Handling 

In this world, data is the fuel that allows us to explore and interpret a wide range of possibilities. The concept of data and its importance are introduced in the NCERT Class 7 Mathematics Chapter 3 data handling. This chapter covers everything from data collection to data storage and display, as well as how to determine the central tendency of the data collected. In Chapter 3, the relevance of the average, median, and mode to various data sets is also discussed, with examples. It also introduces the concept of probability and its theorem, which can be used to determine the likelihood of an event occurring. 

To understand the chapter in a better way, students should practise in-text and end-text exercises.They can solve these questions on their own or refer to NCERT Solutions for Class 7 Mathematics Chapter 3 to get answers to all the questions. Extramarks provides these solutions to help students to strengthen their preparation for the tests, exams or Olympiad .

NCERT Solutions for Class 7 Mathematics Chapter 3 Data Handling 

Chapter 3 – Data Handling Exercises
Exercise 3.1 Questions & Solutions
Exercise 3.2 Questions & Solutions
Exercise 3.3 Questions & Solutions
Exercise 3.4 Questions & Solutions

NCERT Solutions for Class 7 Mathematics Chapter 3  

Chapter 3 Data Handling 

Chapter 3 of Class 7 Mathematics Data handling is a chapter that describes  the procedures for working with data and storing it in various formats. According to the CBSE board, this is an important chapter because it teaches us how to analyse data from various fields. 

NCERT Solutions Class 7 Mathematics Chapter 3 

The answers given in NCERT Solutions for Class 7 Mathematics Chapter 3 cover a variety of important concepts that are necessary for understanding higher-level mathematics. The concept of calculating mean, median, and mode is thoroughly explained, and students will be able to recall it with ease. The average value is referred to as ‘mean,’ the midpoint value is referred to as ‘median,’ and the most common value is referred to as ‘mode.’ 

All the exercises from 3.1 to 3.9 are included in the NCERT Solutions for Class 7 Mathematics Chapter 3. In this article, you will find detailed solutions prepared by Extramarks experienced subject matter experts. These solutions are provided here in accordance with the NCERT textbook and CBSE guidelines. 

3.1 Introduction 

Students can learn what data is in the introduction to the data handling chapter. Data is simply well-organised information. Students will learn about the various steps in handling specific data, such as collecting the data, properly analysing it, evaluating it to obtain an average, and finally, how to represent the data. 

3.2 Collecting Data 

This section explains how students can learn about data collection from various sources. It also explains how to extract data from it and how to find answers by correlating with the situation. Consider some of the following scenarios: 

  • Gujarat  literacy rate-year?
  • Bangalore  current weather report
  • The number of females in a school  

3.3 Organisation of Data 

Students will learn how to properly organise data collected in this section. Students can learn how to organise and record data in a specific format. NCERT Solution for Class 7 Mathematics Chapter 3 explains all of the different types of data that are used to represent forms.  The tabular format is a widely used and basic format for accurately organising data.  Proper organisation of data is very important since it ensures that data is easy to understand and interpret.

3.4 Representative Values 

Students become aware of these values, which are referred to as representative values, in this lesson. These are used to explain how the data is organised. In the data handling chapter, students must remember the word ‘average.’ The term can be applied to a variety of situations, such as average temperature, average time, average distance, average number of boys, and so on. As a result, students should bear in mind  the approximate  value  rather than an exact value. In NCERT Solutions for Class 7 Mathematics Chapter 3, it is explained with examples and tables. 

3.5 Arithmetic Mean 

Students will learn about an important aspect of data management in this section. The average value of a group of units is known as the arithmetic mean or mean. It is computed using the formula: 

The sum of a unit’s total values/The total number of units 

The NCERT Solutions contains examples with solutions applying the formula. If they ever get stuck on a question, they can always refer to the solutions prepared by subject matter experts. 

3.5.1 Range 

Students are taught the sub-topic of arithmetic mean. They must take an average for the mean, but must subtract the minimum from the maximum to obtain the range of complete data or observation. 

3.6 Mode 

Students can learn about another important topic known as a mode in this section. The mode, like the mean, is another type of symbolic value. Students must use various types of values depending on the type of data. The mode is a value that appears repeatedly in a set of observations. It means that the value that appears the most times can be considered the mode. 

3.6.1 Mode of Large Data 

We tabulate the large data to find the mode, and the frequency of the data helps us find the mean of the data. Students may be sceptical of the mode. How can the problem be solved if the data is too large? The problem is addressed in this part.

3.7 Median 

Students will learn about yet another type of representative value in this section. The ascending order should be remembered here. Find the exact middle value by writing all the observations in ascending order. It is capable of accurately classifying them into two groups. It’s known as the median because it’s located in the centre. In other words, the Median is the mid-value that divides a unit into two equal halves. 

3.8 Use of Bar Graphs with a Different Purpose 

The use of bar graphs  explores the various applications of the bar graph, including how it can be used to present data on frequency of mode on a graph. Students will learn about the concept of a bar graph and its variations in this lesson. It’s a simple way to represent data in a structured way. 

3.8.1 Choosing a Scale 

After learning about bar graphs, students will be aware of using the scale to draw the bar graph. Students can choose a larger scale if the data is too large, and vice versa. Students can choose one unit that equals 1,10,100, and so on, depending on the values and size. The choosing scale may vary, but the plotting must be on point. 

Drawing Double Bar Graphs 

Students can learn more about bar graphs in this section. NCERT Mathematics Class 7 Chapter 3 clearly explains the concepts when data is given for two or more people to compare. Students must create bar Graphs for two groups, but must differentiate them by shading or colouring. 

3.9 Chance and Probability 

Students must estimate and expect chance and probability in the final section. Simply put, it is the possibility of something occurring. Probability is the term used when chance is defined mathematically. The ratio of favourable cases to the total number of possible cases determines the probability of an event occurring. Each topic is explained separately in NCERT Solutions for Class 7 Mathematics Chapter 3 so that the concept is clearly understood. 

3.9.1 Chance 

Chance is nothing more than a forecast. Students will be able to predict and express the data’s outcome. It is necessary to predict the outcome, whether it is correct or incorrect. This concept is explained clearly with solved examples in these NCERT Solutions

3.9.2. Probability 

Probability is the final topic that students can learn in this chapter. Probability is the estimation of the chances of something happening, such as tossing a coin or rolling dice. 

Key Factors of NCERT Solutions for Class 7 Mathematics Chapter 3 

While solving these NCERT Solutions, students gain a variety of benefits, some of   them are listed below: 

  • The solutions were created and compiled by subject matter experts , hence their authenticity and accuracy is guaranteed. They are useful for both the teachers and the students, and they can be accessed anywhere without much hassle. 
  • The solutions are written in clear, simple language and include easily understandable charts and diagrams to ensure that students fully comprehend the subject. 
  • The solutions have been created with the goal of enhancing the students’ potential and achieving better results. 

NCERT Solutions for Class 7 Mathematics 

All textbook sums based on triangles, area, and perimeter of different shapes, data handling, integers, and other topics are covered in NCERT Solutions Class 7 Mathematics. As a result, CBSE students will be able to develop Mathematical knowledge and analytical skills. 

These solutions allow students of  grade 7 to develop  an in-depth understanding of Mathematics. Students from other boards refer to the NCERT Solutions for Class 7 Mathematics. They are reliable and accurate. You can access these chapter-wise solutions from the link given below.

NCERT Solutions Class 7 Maths Chapter-wise List
Chapter 1 – Integers
Chapter 2 – Fractions and Decimals
Chapter 3 – Data Handling
Chapter 4 – Simple Equations
Chapter 5 – Lines and Angles
Chapter 6 – The Triangle and Its Properties
Chapter 7 – Congruence of Triangles
Chapter 8 – Comparing Quantities
Chapter 9 – Rational Numbers
Chapter 10 – Practical Geometry
Chapter 11 – Perimeter and Area
Chapter 12 – Algebraic Expressions
Chapter 13 – Exponents and Powers
Chapter 14 – Symmetry
Chapter 15 – Visualising Solid Shapes

NCERT Solutions for Class 7 

Students who have a good grasp on the answers to all of the questions in the NCERT textbook can ace the exams easily. We have provided NCERT Solutions Class 7 to assist students in finding the most suitable solutions to their problems. Subject experts have written the answers based on the CBSE curriculum. Every question in the most recent NCERT books has 100% accurate step-by-step solutions. NCERT Solutions will help you imbibe your concepts to the core, ensuring that you retain them in the long run. It encourages students to practise daily without getting stressed and to improve their performance significantly. 

FAQs (Frequently Asked Questions)

This chapter has four exercises. Exercise 3.1 has five short and four long answer questions. Exercise 3.2 has two short and three long answer questions. Exercise 3.3 has three short and three long answer questions and Exercise 3.4 has two short and two long answer questions.

Calculation of arithmetic mean, mean, median, and mode, probability, and other formulas are described in these solutions. These are the foundations for learning data handling techniques. These formulas, as well as the key definitions, can be found at the end of the chapter for a quick review.

The concepts covered in NCERT Solutions for Class 7 Mathematics Chapter 3 are excellent for honing  study skills because the examples and exercises in the chapter are based on experiential learning. Students can access hundreds of practise problems on mean, median, mode, bar graphs, and probability, questions. Besides this they can use the problem-solving techniques explained in the examples to stay ahead in the competition.

To improve their data handling skills, students should complete all of the examples and practise questions. The sample examples and exercise questions will ensure that students have a strong foundation to deal with higher mathematical concepts and even Mathematics for competitive exams in the future.