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
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 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.