# NCERT Solutions for Class 8 Maths Chapter 5 Data Handling (EX 5.2) Exercise 5.2

Mathematics is an important subject in the Class 8 curriculum. It is necessary for students to develop a dedicated strategy for preparing for the Mathematics examination. Class 8 Mathematics topics are essential for practising some of the more advanced Mathematics topics in higher classes. It is important for Class 8 students to access the latest syllabus of Mathematics before starting to prepare for the Mathematics examination. The syllabus helps give an overview of the topics and subtopics covered in the subject. Class 8 students can access the latest syllabus in Mathematics from the Extramarks learning platform. Preparing according to the syllabus is helpful in staying on track for examination preparation. Mathematics is critical in developing students’ analytical thinking abilities and reasoning skills. It prepares students for careers that require complex modelling of scientific phenomena. They are advised to practice as many Mathematics questions as possible in order to perform well in the examinations. All of the topics covered in Class 8 Mathematics are useful in laying the groundwork for topics learned in higher classes. Students are expected to have access to the appropriate study materials in order to perform well in the final Mathematics examination. The Extramarks website and mobile application will provide them with all of the necessary study materials.

Class 8 students having difficulties in solving the questions in Exercise 5.2 can refer to the NCERT Solutions Class 8 Maths Chapter 5 Exercise 5.2. All the questions in Exercise 5.2 can be easily solved with the help of the NCERT Solutions Class 8 Maths Chapter 5 Exercise 5.2. Students must keep revising the theories of Chapter 5 in order to do well in the examination. Learning the theoretical parts of Chapter 5 will help students practice questions based on the topics. Students must pay attention to the charts and graphs given in the chapter. They are very important for solving exercises in the Data Handling chapter. Students should go through the solved examples in Chapter 5 to understand the variety of questions that can be framed from the topics. Solved examples are useful for laying the groundwork for Chapter 5 exercises. Students must review the definitions from the chapter named “Data Handling” because they are critical for solving questions from the chapter. Class 8 students can use the Extramarks learning platform to help them perform well in the Mathematics examination.

Students can take guidance from educators at Extramarks to score well in the Mathematics examination. There are some of the best teachers of Mathematics available on the Extramarks learning platform. They have years of experience in teaching and can help Class 8 students prepare well for the Mathematics examination. It is advisable for students to access study materials from Extramarks. The study resources provided by Extramarks are very reliable and will enable students to score higher marks in the Mathematics examination. The NCERT Solutions Class 8 Maths Chapter 5 Exercise 5.2, are very useful in solving the questions in Exercise 5.2. The NCERT Solutions Class 8 Maths Chapter 5 Exercise 5.2 are prepared carefully by some qualified Mathematics teachers. The in-house teachers at Extramarks are highly qualified, and they have years of experience in the teaching field. Their guidance and support are very important for improving the practising and learning techniques of students. Extramarks enables students to learn from some of the best teachers in India. Students can learn effectively with the aid of rich media-based learning materials provided by the Extramarks learning platform.

Class 8 Mathematics textbook is the main resource for preparation for the Mathematics examination. Each of the exercises given in the NCERT textbook is important from the final examination perspective. Students are advised to practice them from time to time. Regular practice of exercises helps in effectively preparing for the examination. Class 8 students should practice questions of Exercise 5.2 with the assistance of the NCERT Solutions Class 8 Maths Chapter 5 Exercise 5.2, to prepare effectively for the upcoming Mathematics examination. Exercise 5.2 comprises five questions that students must practice. It is recommended for students to revise all the theoretical parts of Chapter 5 before solving the Class 8 Maths Chapter 5 Exercise 5.2. Questions in this exercise are based on the Circle Graph or Pie Chart topic. Some of the questions in Exercise 5.2 can be daunting for students to practice. They must refer to the Class 8 Maths Exercise 5.2 Solutions while solving Exercise 5.2. Regular practice is essential for reducing the stress levels of students. When students have practised questions frequently they are able to attempt questions with a very positive mindset in the examination. It is also necessary for students to identify their weaker areas in Mathematics and work on them more effectively. Solving questions helps students feel more confident and they become motivated to practice more questions.

In addition to solving exercise questions, it is also important to practice questions given in past years’ papers and sample papers of Mathematics. Class 8 can download the past years’ papers on Mathematics from Extramarks. Past years’ papers are essential resources from the examination perspective. Students will get an overview of the types of questions that can appear in the final examination of Mathematics by going through the past year’s papers. They are also helpful in knowing the higher-weightage topics in Mathematics. Students are also expected to solve sample papers in Mathematics in order to prepare effectively for the Mathematics examination. Sample papers consist of an exact sample of questions that are expected to appear in the final examination. Sample papers are extremely useful for self-evaluation of ongoing preparation. They will understand what improvements they need to make to their study plan after solving sample papers. Class 8 students can download sample papers of Mathematics from the Extramarks website and mobile application in PDF format.

The question paper of Mathematics needs to be solved within a specific time duration. Students are advised to learn to manage their time effectively in order to solve question papers of Mathematics within the stipulated time. They should try to improve their time management skills while preparing for the examination. Practising questions with the NCERT Solutions Class 8 Maths Chapter 5 Exercise 5.2 helps students to learn better time management skills. It is also advisable for students to learn to solve questions in a proper method in order to score well in the Mathematics examination. The NCERT Solutions Class 8 Maths Chapter 5 Exercise 5.2 will guide students to give solutions in a proper manner. All the solutions are given in simple language so that students can easily comprehend them. Students can compare their own methods of solving with these solutions and make necessary adjustments.

In Class 8 Mathematics, there are 16 chapters. All the chapters must be well practised to adequately prepare for the examination. Chapter 5 is one of the important chapters in the Class 8 Mathematics syllabus. Data Handling is the main topic of this chapter. This chapter gives an important guide to how data is organised and the methods used to display it. There are various topics related to data handling given in the chapter, such as Looking for Information, Organising Data, Grouping Data, etc. Students must solve questions related to each topic of Chapter 5 from time to time. Solving questions is very important for gaining a proper understanding of the concepts and theories of the chapter. There are 3 exercises based on Chapter 5. Each one of these exercises should be practised frequently by Class 8 students. They can take help from the Extramarks learning platform in order to solve the exercises of Chapter 5 efficiently. All questions in NCERT Class 8 Maths Chapter 5 Exercise 5.2 can be solved with help from the NCERT Solutions Class 8 Maths Chapter 5 Exercise 5.2. The NCERT Solutions Class 8 Maths Chapter 5 Exercise 5.2, are available in PDF format on the Extramarks website and mobile application.

## NCERT Solutions for Class 8 Maths Chapter 5 Data Handling (EX 5.2) Exercise 5.2

Class 8 students must access the NCERT Solutions Class 8 Maths Chapter 5 Exercise 5.2 from the Extramarks learning portal. All the solutions are explained in a detailed manner and are very helpful from the exam point of view. The NCERT Solutions Class 8 Maths Chapter 5 Exercise 5.2 have been prepared in accordance with the latest CBSE syllabus of Mathematics. Solving questions with the assistance of the NCERT Solutions Class 8 Maths Chapter 5 Exercise 5.2 is beneficial for enhancing the calculation speed of students. In Exercise 5.2, some questions are complex and students should learn better techniques to solve them. It is necessary to divide complex problems into small and easier steps. Class 8 students will learn to solve complex problems of the Data Handling Class 8 Exercise 5.2 efficiently by making use of the NCERT Solutions Class 8 Maths Chapter 5 Exercise 5.2.

### Access NCERT Solutions for Class 8 Chapter 5 – Data Handling

Students looking for the NCERT Solutions Class 8 Maths Chapter 5 Exercise 5.2 can download them from Extramarks. The NCERT Solutions Class 8 Maths Chapter 5 Exercise 5.2, are provided by Extramarks in PDF format and are very significant for scoring higher marks in the Mathematics examination. Students can utilise these solutions to get authentic solutions to Exercise 5.2 questions.

### Benefits of NCERT solution of Class 8Maths Chapter 5 Exercise 5.2

The NCERT Solutions Class 8 Maths Chapter 5 Exercise 5.2 are extremely important because they provide solutions in logically correct steps with clear explanations. In Mathematics, there are numerous approaches to problem-solving. Students are encouraged to learn the most efficient method of answering a question, which will save them time and help them score higher in the exam. The NCERT Solutions Class 8 Maths Chapter 5 Exercise 5.2 can help Class 8 students learn how to practice questions using the best methods. Students will be able to approach examination questions with a positive attitude.

### NCERT Solutions for Class 8

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Q.1 A survey was made to find the type of music that a certain group of young people liked in a city. Adjoining pie chart shows the findings of this survey.

From this pie chart answer the following:

(i) If 20 people liked classical music, how many young people were surveyed?

(ii) Which type of music is liked by the maximum number of people?

(iii) If a cassette company were to make 1000 CD’s, how many of each type would they make?

Ans

(i) From the given pie chart the number of people who like classical music =10%

Let the number of young people who were surveyed be ‘x’.

According to the question, we get

10% of x = 20

$\begin{array}{l}\frac{10}{100}×\mathrm{x}=20\\ ⇒\mathrm{x}=\frac{20×100}{10}\\ ⇒\mathrm{x}=200\end{array}$

Therefore, 200 young people were surveyed.

(ii) From the given pie chart, it can be observed that light music is liked by maximum number of people.

(iii)

$\begin{array}{l}\mathrm{Number}\text{}\mathrm{of}\text{}\mathrm{CD}’\mathrm{s}\text{}\mathrm{for}\text{}\mathrm{light}\text{}\mathrm{music}=40\text{}\mathrm{%}\\ =\frac{40}{100}×1000=400\\ \mathrm{Number}\text{}\mathrm{of}\text{}\mathrm{CD}’\mathrm{s}\text{}\mathrm{for}\text{}\mathrm{folk}\text{}\mathrm{music}=30\text{}%\\ =\frac{30}{100}×1000=300\\ \mathrm{Number}\text{}\mathrm{of}\text{}\mathrm{CD}’\mathrm{s}\text{}\mathrm{for}\text{}\mathrm{classical}\text{}\mathrm{music}=10\text{}\mathrm{%}\\ =\frac{10}{100}×1000=100\\ \mathrm{Number}\text{}\mathrm{of}\text{}\mathrm{CD}’\mathrm{s}\text{}\mathrm{for}\text{}\mathrm{semi}-\mathrm{classical}\text{}\mathrm{music}=20\text{}\mathrm{%}\\ =\frac{20}{100}×1000=200\end{array}$

Q.2 A group of 360 people were asked to vote or their favourite season from the three seasons rainy, winter and summer.
(i) Which season got the most votes?
(ii) Find the central angle of each sector.
(iii)Draw a pie chart to show this information.

 Season No. of votes Summer 90 Rainy 120 Winter 150

Ans

(i) Winter season got the maximum votes.
(ii) Here, total number of votes = 90 + 120 + 150 = 360.
The central angles of each sector are shown in the following table:

$\begin{array}{|cccc|}\hline \mathrm{Season}& \mathrm{No}.\text{ }\mathrm{of}\text{ }\mathrm{votes}& \mathrm{In}\text{ }\mathrm{Fraction}& \mathrm{Central}\text{ }\mathrm{angle}\\ \mathrm{Summer}& 90& \frac{90}{360}& \frac{90}{360}×{360}^{\circ }\text{ }=\text{ }{90}^{\circ }\\ \mathrm{Rainy}& 120& \frac{120}{360}& \frac{120}{360}×{360}^{\circ }\text{ }=\text{ }{120}^{\circ }\\ \mathrm{Winter}& 150& \frac{150}{360}& \frac{150}{360}×{360}^{\circ }\text{ }=\text{ }{150}^{\circ }\\ \hline\end{array}$

(iii) The pie chart is as follows:

Q.3 Draw a pie chart showing the following information. The table shows the colours preferred by a group of people.

 Colours Number of People Blue 18 Green 9 Red 6 Yellow 3 Total 36

Ans

The central angles for a pie chart are calculated in the following table:

$\begin{array}{|cccc|}\hline \mathrm{Language}& \mathrm{No}.\text{of }\mathrm{students}& \mathrm{In}\text{ }\mathrm{Fraction}& \mathrm{Central}\text{ }\mathrm{angle}\\ \mathrm{Blue}& 18& \frac{18}{36}& \frac{18}{36}×{360}^{\circ }={180}^{\circ }\\ \mathrm{Green}& 9& \frac{9}{36}& \frac{9}{36}×{360}^{\circ }={90}^{\circ }\\ \mathrm{Red}& 6& \frac{6}{36}& \frac{6}{36}×{360}^{\circ }={60}^{\circ }\\ \mathrm{Yellow}& 3& \frac{3}{36}& \frac{3}{36}×{360}^{\circ }={30}^{\circ }\\ \hline\end{array}$

The pie chart is as follows:

Q.4 The adjoining pie chart gives the marks scored in an examination by a student in Hindi, English, Mathematics, Social Science and Science. If the total marks obtained by the students were 540, answer the following questions.

(i) In which subject did the student score 105 marks?(Hint: for 540 marks, the central angle = 360°. So, for 105 marks, what is the central angle?)

(ii) How many more marks were obtained by the student in Mathematics than in Hindi?

(iii) Examine whether the sum of the marks obtained in Social Science and Mathematics is more than that in Science and Hindi.

(Hint: Just study the central angles)

Ans

Total marks obtained by the student are 540.

Hence, 540 marks represent 360º.

Now, we have to find the central angle for 105 marks.

$\begin{array}{l}=\frac{105}{540}×360°\\ =70°\end{array}$

Therefore, the subject in which the student scored 105 marks is Hindi.

(ii) Marks obtained by student in Mathematics = 90 %

$\begin{array}{l}=\frac{90°}{360°}×540\\ =135\end{array}$

Now, the marks obtained by student in Hindi = 70 %

= 105

Therefore, the difference between the marks of Mathematics and Hindi = 135 – 105 = 30.

Hence, 30 more marks were obtained by the student in Mathematics than in Hindi.

(iii) The sum of central angles of Social Science and Mathematics

= 90° + 65°

= 155°

However, the sum of central angles of Science and Hindi

= 80° + 70°

= 150°

We can observe that, the sum of the central angles for Social Science and Mathematics is more than that of Science and Hindi.

Therefore, the student scored more in Social Science and Mathematics than in Science and Hindi.

Q.5 The number of students in a hostel, speaking different languages is given below. Display the data in a pie chart.

 Language Hindi English Marathi Tamil Bengali Total Number of Students 40 12 9 7 4 72

Ans- The central angle for each subject is as follows:

$\begin{array}{|cccc|}\hline \mathrm{Language}& \mathrm{No}.\text{of }\mathrm{students}& \mathrm{In}\text{ }\mathrm{Fraction}& \mathrm{Central}\text{ }\mathrm{angle}\\ \mathrm{Hindi}& 40& \frac{40}{72}& \frac{40}{72}×{360}^{\circ }={200}^{\circ }\\ \mathrm{English}& 12& \frac{12}{72}& \frac{12}{72}×{360}^{\circ }={60}^{\circ }\\ \mathrm{Marathi}& 9& \frac{9}{72}& \frac{9}{72}×{360}^{\circ }={45}^{\circ }\\ \mathrm{Tamil}& 7& \frac{7}{72}& \frac{7}{72}×{360}^{\circ }={35}^{\circ }\\ \mathrm{Bengali}& 4& \frac{4}{72}& \frac{4}{72}×{360}^{\circ }={20}^{\circ }\\ \hline\end{array}$

The pie chart is as follows:

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### 1. Where can Class 8 students get access to the NCERT Solutions Class 8 Maths Chapter 5 Exercise 5.2?

Class 8 students can download the NCERT Solutions Class 8 Maths Chapter 5 Exercise 5.2 from the Extramarks website and mobile application. The NCERT Solutions Class 8 Maths Chapter 5 Exercise 5.2 are essential for strengthening the Mathematics exam preparation of students. They can get solutions to all the questions of Chapter 5 Exercise 5.2 with the assistance of the NCERT Solutions Class 8 Maths Chapter 5 Exercise 5.2.

### 2. What are all the chapters covered in Class 8 Mathematics?

It is recommended for students to get access to the latest syllabus of Mathematics in order to get familiar with all the chapters covered in Class 8 Mathematics. The syllabus is accessible on Extramarks. Students can also download it from the official website of NCERT. The NCERT Solutions Class 8 Maths Chapter 5 Exercise 5.2 are designed on the basis of the Mathematics syllabus.

### 3. Are the NCERT Solutions Class 8 Maths Chapter 5 Exercise 5.2 accessible in PDF format?

Class 8 students of the Central Board of Secondary Education can access the NCERT Solutions Class 8 Maths Chapter 5 Exercise 5.2 from the Extramarks learning platform in PDF format. Students can make use of the NCERT Solutions Class 8 Maths Chapter 5 Exercise 5.2 without an internet connection as well.

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### 6. How can students of Class 8 perform well in the Mathematics examination?

Students in Class 8 are required to practice exercises on a regular basis. Practising helps students to improve their preparation. They are advised to solve past years’ papers and sample papers of Mathematics at regular intervals. It is important for students to revise formulae, definitions, theorems, derivations, etc continuously. Study materials like the NCERT Solutions Class 8 Maths Chapter 5 Exercise 5.2 should be utilised to get reliable solutions to exercises of Mathematics chapters.