Chapter 4 Data Handling Ex 4.1 NCERT Solutions for Class 8 Maths

Latest Updated : October 2023

If you are in search of NCERT solutions for Class 8 Maths Chapter 4 Data Handling, then you are at the right place. When it comes to Mathematics, it is a subject that holds value for students across various academic streams, be it science, biology, or commerce and having a very good understanding of basic math concepts will help you in achieving your goal and make it much more easier.

Here we provide detailed NCERT solutions for Class 8 Maths of all the chapters, exercise wise with updated syllabus by NCERT. These NCERT solutions for Class 8 Maths have been carefully crafted to provide detailed explanations, ensuring that students can grasp the concepts effectively. We also provide extra practice questions for the same, so feel free to bookmark ncertforclass8.com to boost your preparation.

NCERT Solutions for Class 8 Maths Chapter 4 Data Handling Ex 4.1

Class 8 Maths Chapter 4 Data Handling Exercise 4.1

Exercise 4.1

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?

Solution:

(i) 10% represents 100 people.
Therefore, 20% represents = 100×20/10
= 200 people
Hence, 200 people were surveyed.

(ii) Light music is liked by the maximum number of people.

(iii) CD’s of classical music = 10×1000/100 = 100
CD’s of semi-classical music = 20×1000/100 = 200
CD’s of light music = 40×1000/100 = 400
CD’s of folk music = 30×1000/100 = 300

2. A group of 360 people were asked to vote for 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.

Solution:

(i) Winter season got the most votes.

(ii) Central angle of summer season = 90° ×360°/360° = =90°
Central angle of rainy season = 120° ×360°/360° = 120°
Central angle of winter season = 150° ×360°/360° = 150°

(iii)

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

Colours	No. Of People
Blue	18
Green	9
Red	6
Yellow	3
Total	36

Solution:

Colours	No. Of People	In Fraction	Central Angle
Blue	18	18/36 = 1/2	1/2 x 360° = 180°
Green	9	9/36 = 1/4	1/4 x 360° = 90°
Red	6	6/36 = 1/6	1/6 x 360° = 60°
Yellow	3	3/36 = 1/12	1/12 x 360° = 30°

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).

Solution:

Subject	Central Angle	Marks Obtained
Mathematics	90°	(90°/360°) x 540 = 135
Social Science	65°	(65°/360°) x 540 = 97.5
Science	80°	(80°/360°) x 540 = 120
Hindi	70°	(70°/360°) x 540 = 105
English	55°	(55°/360°) x 540 = 82.5

(i) The student scored 105 marks in Hindi.

(ii) Marks obtained in Mathematics = 135
Marks obtained in Hindi = 105
Difference = 135-105 = 30
Thus, 30 more marks were obtained by the student in Mathematics than in Hindi.

(iii) The sum of marks in Social Science and Mathematics
= 97.5+135= 232.5
The sum of marks in Science and Hindi
= 120 + 105
= 225
Yes, the sum of the marks in Social Science and Mathematics is more than that in Science and Hindi

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

Solution:

Language	No. Of Students	In Fraction	Central Angle
Hindi	40	40/72 = 5/9	5/9 x 360° = 200°
English	12	12/72 = 1/6	1/6 x 360° = 60°
Marathi	9	9/72 = 1/8	1/8 x 360° = 45°
Tamil	7	7/72 = 7/72	7/72 x 360° = 35°
Bengali	4	4/72 = 1/18	1/18 x 360° = 20°
Total	72

Using Class 8 NCERT solutions offers several key advantages for students:

Accurate Answers: NCERT solutions for Class 8 Maths are prepared by expert educators and thoroughly reviewed to ensure quality and accurate answers.
Aligned with Curriculum: NCERT Solutions for Class 8 Maths are specifically designed to go along with the CBSE curriculum, making them the ideal resource for students studying in CBSE affiliated schools.
Crisp an Clear Explanation: The NCERT solutions for Class 8 Maths provide step by step explanations, making complex concepts easier to understand. This helps students to grasp the concepts easily and build a better foundation.
Time-Saver: Instead of spending extra time searching for answers, students can quickly access these NCERT solutions for Class 8 Maths , saving time and allowing them to focus on other aspects of their studies.
Extra Questions: NCERT Solutions for Class 8 Maths also has extra questions that offer additional opportunities for students to build better problem solving skills.
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Summary

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NCERT Solutions for Class 8 Maths Chapter 4 Data Handling Ex 4.1

Class 8 Maths Chapter 4 Data Handling Exercise 4.1

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