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RS Aggarwal Class 8 Chapter 21 Solutions (Data Handling)

RS Aggarwal Class 8 Maths Solutions for Chapter 21 ‘Data Handling’ will help you understand how data is collected and stored. You will learn about frequency distribution, histograms, class intervals, and grouped frequency distribution in this chapter. This chapter of RS Aggarwal Class 8 Maths Solutions contains 2 exercises and 9 practice questions. 

Data Handling forms the basis of statistics and probability concepts that you will study in higher classes. You must know what is data, how it is collected, classified, and organized into groups so that you can further understand how to process the data and find patterns in it. Data Handling is also a very important concept from a real-life perspective. So having a basic knowledge of data handling is good for you. 

To make this new concept of Data Handling in RS Aggarwal Class 8 Maths book easy to understand for you, we have provided exercise-wise solutions of the chapter. These solutions are prepared by our maths subject matter experts in an easy to understand language. Appropriate reasoning and diagrammatic representation are included in the solutions for your clarity. You should also read the summary of the chapter provided below for a quick revision of the chapter. 

Important Topics for RS Aggarwal Class 8 Maths Solutions Chapter 21: Data Handling

Data 

  • Any facts collected is known as data. 
  • For example, you can make a list of your Maths marks in classes 5, 6, 7. This is data. 
  • You can further use this data to find some useful information. You can see whether your performance in Maths subject is increasing or decreasing. 
  • Here, you represented your data as a ‘list’. But, there are some other different ways of representing the data. 

Frequency and Frequency Distribution Table 

  • While we collect data, there are times when data repeats itself. 
  • For example, the number fours scored by Ram in the last 10 cricket matches with his friends are given by the following data: 5, 6, 7, 2, 5, 5, 6, 2, 4, 7. 
  • Here, you can see that Ram scored 5 fours in 3 matches, 6 fours in 2 matches, and 7 fours in 2 matches. So, the frequency of occurrence of 5 fours is 3 while the frequency of occurrence of 6 fours is 2. 
  • Therefore, the frequency of data can be defined as how many times that data occurred in a collection. 
  • When we write the frequency of each data separately in the form of a table, it is called the frequency distribution table. 
  • Here, we can give the frequency distribution of fours scored by Ram in 10 cricket matches. But, first, we must arrange the data in order. 

2, 2, 4, 5, 5, 5, 6, 6, 7, 7

Number of Fours Scored  Frequency 
2 2
4 1
5 3
6 2
7 2

Representation of Data Using Histogram 

  • A histogram is a graph in which data is represented as bars of various heights. 
  • These heights represent the frequency of data.
  • For example, consider the histogram of the above frequency distribution table given here. Here, the x-axis represents the number of fours scored by Ram and the y-axis represents the frequency of the number of fours scored by Ram. You can match the frequency distribution given in the histogram with the table. 

Grouped Frequency Distribution

Sometimes, when we collect data, we create groups to represent the frequencies. This helps in cases where the frequency is scarce or almost zero in many cases. For example, suppose the number of books sold at a bookshop in the past 10 days is given as 15, 3, 7, 12, 7, 3, 12, 5, 4, 2

The frequency distribution table would be given as:  

Number of Books Sold Frequency 
2 1
3 2
4 1
5 1
7 2
12 2
15 1

Now, we can create groups of numbers of books sold in 5s like 0-4, 5-9, and 10-15. These groups are called Class Intervals. Class interval 0-4 includes frequencies for 0,1,2,3, and 4 books. Similarly, Class interval 5-9 includes frequencies for 5,6,7,8, and 8 books, and so on. Based on these class intervals, we will add the frequencies and state them in the Grouped Frequency Table as given below:

Number of Books Sold Frequency 
0-4 4
5-9 3
10-15 3

Exercise Discussion for RS Aggarwal Class 8 Maths Solutions Chapter 21: Data Handling

  • Exercise 21A of RS Aggarwal Class 8 Maths Solutions for Chapter 21 ‘Data Handling’ comprises 3 questions based on the concept of tally marks. You are given data and you have to represent that data using tally marks and frequency distribution tables. 
  • Exercise 21B has 6 questions in which you have to create histograms of the data given to you. For solving these questions, you first need to create a frequency distribution table and then form the histograms. 
  • Some questions are related to grouped frequency distribution as well. In some questions, you are also asked to remove a certain class interval and then create the frequency distribution table. 

Benefits of RS Aggarwal Class 8 Maths Solutions Chapter 21: Data Handling  by Instasolv

  • RS Aggarwal Solutions for Class 8 Maths Chapter 21 ‘Data Handling’ are the best way to practice the questions of this chapter. 
  • You can easily learn how to create frequency tables and histograms with our step by step solutions. 
  • The important topics of the chapter mentioned above will help you revise the basics quickly. 
  • Use these solutions as revision notes while preparing for your exams. 
  • These solutions are suitable for CBSE Class 8 Maths exam preparation as well.