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NCERT Solutions for Class 8 Maths Chapter 4 Data Handling
Edited By Komal Miglani | Updated on Apr 21, 2025 10:35 AM IST
While preparing for your birthday party, your mother asked about your friends' names and what type of food and games they like. During the school's cricket team selection, the game teacher arranges a 7-day training session for interested candidates and starts to note down their performance stats. In both situations, data is being collected, organized, and analyzed to make better decisions. This is the essence of Data Handling. In class 8 Maths NCERT chapter 4, students will learn how to handle data and how to present data in various forms, like graphs, tables, or charts. The main idea behind these Class 8 Maths chapter 4 solutions is to make the learning process smooth for students by explaining every step of the problems.
This Story also Contains
- Data Handling Class 8 Questions And Answers PDF Free Download
- Data Handling Class 8 Solutions - Important Points
- Data Handling Class 8 NCERT Solutions (Exercise)
- NCERT Solutions for Class 8 Maths: Chapter Wise
- Importance of NCERT Class 8 Maths Chapter 4 Data Handling Solutions
- NCERT Class 8 Maths Solutions: Subject Wise
- NCERT Books and NCERT Syllabus
In our day-to-day lives, data is everywhere, and Data handling class 8 NCERT solutions will teach students how to use them efficiently. Experienced Careers360 experts have made these solutions following the latest CBSE guidelines. Thorough practice of these solutions for data handling in class 8 will be beneficial for students during the exam.
Data Handling Class 8 Questions And Answers PDF Free Download
Data Handling Class 8 Solutions - Important Points
Data: A systematic record of facts or distinct values of a quantity.
Presentation of Data: Arranging data to study its salient features.
Frequency: The number of times a particular entity occurs in data.
Frequency Distribution Table: A table representing the frequency of different entities in the data.
Grouped Frequency Distribution Table: Data grouped into class intervals.
Class Size or Width: The number of values in each class interval.
Lower Class Limit: The lower value in a class interval.
Upper-class Limit: The upper value in a class interval.
Pictograph: Pictorial representation of data using symbols.
Bar Graph: A display of data using bars of uniform width, with heights proportional to values.
Double Bar Graph: A graph showing two sets of data simultaneously for comparison.
Histogram: A graphical representation of frequency distribution using rectangles with no gaps between them.
Circle Graph or Pie Chart: A representation of numerical data using proportional sectors in a circle.
Probability Formula: Probability of an event = Number of outcomes that make an event Total number of outcomes of the experiment , when the outcomes are equally likely.
Data Handling Class 8 NCERT Solutions (Exercise)
| THINK, DISCUSS, AND WRITE |
Q: Draw an appropriate graph to represent the given information.
Children who prefer | School A | School B | School C |
Walking | 40 | 55 | 15 |
Cycling | 45 | 25 | 35 |
Answer:
Q: Draw an appropriate graph to represent the given information
Percentage wins in ODI by top 8 cricket teams
Team | From Champions Trophy to World Cup-06 | Last 10 ODI in 07 |
South Africa | 75% | 78% |
Australia | 61% | 40% |
Sri Lanka | 54% | 38% |
New Zealand | 47% | 50% |
England | 46% | 50% |
Pakistan | 45% | 44% |
West Indies | 44% | 30% |
India | 43% | 56% |
Answer:
| NCERT Class 8 Maths Solutions Chapter 4: Circle Graph or Pie Chart |
Answer: 50% of the fraction of the circle represents girls, and the other 50% represents boys in the class.
Answer: The circle represents that 20% of students use a cycle for transportation, 40% walk, and 40% use a bus or car for transportation.
Answer:
(iii)
The circle represents that 85% of students love and 15% of students hate Mathematics.
Q2. (i) Answer the following questions based on the pie chart given (Fig 5.6 ).
Which type of programmes are viewed the most?
Answer:
(i) Entertainment programmes are viewed the most, i.e. 50%.
Answer: Informative and News together have a number of viewers equal to those watching sports channels.
| NCERT Class 8 Maths Solutions Chapter 4: Drawing a Pie Chart |
Q1. Draw a pie chart of the data given below.
The time spent by a child during a day.
Sleep — 8 hours
School — 6 hours
Homework — 4 hours
Play — 4 hours
Others — 2 hours
Answer: A Pie chart of the data is given below:
Q1. Which form of graph would be appropriate to display the following data?
Production of food grains of a state.
Year | 2001 | 2002 | 2003 | 2004 | 2005 | 2006 |
Production (in lakh tons) | 60 | 50 | 70 | 55 | 80 | 85 |
Answer:
Data can be represented as shown below as a bar graph.
Q2. Which form of graph would be appropriate to display the following data?
Choice of food for a group of people.
Favourite food | Number of people |
North Indian | 30 |
South Indian | 40 |
Chinese | 25 |
Others | 25 |
Total | 120 |
Answer:
The given data can be represented as shown below as a pie chart.
Q3. Which form of graph would be appropriate to display the following data?
The daily income of a group of factory workers
Daily Income (in Rupees) | Number of workers (In a factory) |
75-100 | 45 |
100-125 | 35 |
125-150 | 55 |
150-175 | 30 |
175-200 | 50 |
200-225 | 125 |
225-250 | 140 |
Total | 480 |
Answer:
The data can be represented as shown below as a bar graph.
Class 8 data handling NCERT solutions:' Exercise: 4.1 |
(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 CDs, how many of each type would they make?
Answer:
(i) If 20 people liked classical music
Total number of people = (100×20)÷10 = 200 people.
(ii) Maximum number of people light music i.e. 40%.
(iii) If a cassette company were to make 1000 CDs, then
Light music CD's = (40×1000)÷100=400
Folk music CD's = (30×1000)÷100=300
Classical music CD's = (10×1000)÷100=100
Semi classical music CD's = (20×1000)÷100=200
(i) Which season got the most votes?
(ii) Find the central angle of each sector.
(iii) Draw a pie chart to show this information.
Answer:
(i) Winter season got the most votes.
(ii) Total Votes = 90+120+150 = 360
central angle of summer = (90°×360°)÷360° = 90°
central angle of rainy = (120°×360°)÷360° = 120°
central angle of winter = (150°×360°)÷360° = 150°
(iii)
Q3. Draw a pie chart showing the following information.
The table shows the colours preferred by a group of people.
Answer:
colours | number of people | in fraction | central angles |
Blue | 18 | 1836=12 | 12×360°=180° |
Green | 9 | 936=14 | 14×360°=90° |
Red | 6 | 636=16 | 16×360°=60° |
Yellow | 3 | 336=112 | 112×360°=30° |
(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?)
Answer:
Subject | Central angle | Marks obtained |
mathematics | 90° | (90°×540)÷360=135 |
science | 80° | (80°×540)÷360=120 |
social science | 65° | (65°×540)÷360=97.5 |
english | 55° | (55°×540)÷360=82.5 |
hindi | 70° | (70°×540)÷360=105 |
(i) In the Hindi subject, the student scored 105 marks.
How many more marks were obtained by the student in Mathematics than in Hindi?
Answer:
Subject | Central angle | Marks obtained |
mathematics | 90° | (90°×540)÷360=135 |
science | 80° | (80°×540)÷360=120 |
social science | 65° | (65°×540)÷360=97.5 |
english | 55° | (55°×540)÷360=82.5 |
hindi | 70° | (70°×540)÷360=105 |
(ii) 135−105=30
Hence, 30 more marks were obtained by the student in Mathematics than in Hindi.
Q4.(iii) 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.
(Hint: Just study the central angles).
Answer:
Subject | Central angle | Marks obtained |
mathematics | 90° | (90°×540)÷360=135 |
science | 80° | (80°×540)÷360=120 |
social science | 65° | (65°×540)÷360=97.5 |
english | 55° | (55°×540)÷360=82.5 |
hindi | 70° | (70°×540)÷360=105 |
(iii) The sum of the marks obtained in Social Science and Mathematics = 97.5+135=232.5
The sum of the marks obtained in Science and Hindi = 120+105=225
Yes, the sum of the marks obtained in Social Science and Mathematics is more than that in Science and Hindi.
Answer:
The pie chart is as shown below:
| NCERT Class 8 Maths Solutions Chapter 4 Practise: Getting A Result |
Q1. If you try to start a scooter, what are the possible outcomes?
Answer:
1. If you try to start a scooter, there are two possibilities.
(i) . The scooter will start.
(ii) . The scooter will not start.
Q2. When a die is thrown, what are the six possible outcomes?
Answer:
2. When a die is thrown, the six possible outcomes are :
(i) 1
(ii) 2
(iii) 3
(iv) 4
(v) 5
(vi) 6
Q3. When you spin the wheel shown, what are the possible outcomes? (Fig 5.9) List them.
(Outcome here means the sector at which the pointer stops).
Answer: 3. When we spin the wheel shown, the possible outcomes are:
(i) A
(ii) B
(iii) C
Fig 5.10
Answer:
Fig 5.10
The possible outcomes are:
(i) W
(ii) R
(iii) B
(iv) G
(v) Y
Q5. In throwing a die:
Does the first player have a greater chance of getting a six?
Would the player who played after him have a lesser chance of getting a six?
Suppose the second player got a six. Does it mean that the third player would not have a chance of getting a six?
Answer:
In throwing a die:
No, the first player also has the same chance of getting a six.
No, the player who played after him has the same chance of getting a six.
Suppose the second player got a six.It does not mean that the third player would not have a chance of getting a six. Third person also have same chance of getting six.
| NCERT Class 8 Maths Solutions Chapter 4: Exercise: Linking Chances of Probability |
Suppose you spin the wheel.
Answer:
(i) the number of outcomes of getting a green sector = 5
The number of outcomes of not getting a green sector = 3
Q1 (ii) Suppose you spin the wheel. Find the probability of getting a green sector.
. 
Answer:
(ii) The probability of getting a green sector = 5/8 = 0.625
Q1 (iii) Suppose you spin the wheel. Find the probability of not getting a green sector.
Answer: (iii) The probability of not getting a green sector = 38 = 0.375
| Class 8 data handling NCERT solutions:' Exercise: 4.2 Total Questions: 6 Page number: 49 |
Q1.(a) List the outcomes you can see in these experiments. Spinning a wheel
Answer:
(a) The outcomes you can see in these experiments are:
(i) A
(ii) B
(iii) C
(iv) D
Q1.(b) List the outcomes you can see in these experiments tossing two coins together
Answer: (b)The outcomes you can see in the experiment tossing two coins together are :
(i) Head
(ii) tail
Q2. When a die is thrown, list the outcomes of an event of getting
(i) (a) a prime number (b) not a prime number.
(ii) (a) a number greater than 5 (b) a number not greater than 5.
Answer: When a die is thrown, the outcomes of an event of getting
(i) (a) The prime numbers are 2,3,5.
(b) not a prime number are 1,4,6.
(ii) (a) The number greater than 5 is 6.
(b) A number not greater than 5 are 1, 2, 3, 4, 5.
Q3.(a) Find the Probability of the pointer stopping on D in (Question 1-(a)).
Answer: (a) Probability of the pointer stopping on D =15=0.2
Q3.(b) Find the Probability of getting an ace from a well-shuffled deck of 52 playing cards.
Answer:
(b) Probability of getting an ace from a well-shuffled deck of 52 playing cards
=452=226=113=0.769
Q3.(c) Find the Probability of getting a red apple. (See figure below)
Answer:
(c) Probability of getting a red apple
=47=0.571
(i) Getting a number 6?
(ii) Getting a number less than 6?
(iii) Getting a number greater than 6?
(iv) Getting a 1-digit number?
Answer:
(i) the probability of getting a number
=110=0.1
(ii) The numbers less than 6 are, 1,2,3,4,5=5 numbers.
The probability of getting a number less than 6
=510=0.5
(iii) The numbers greater than 6 are: 7,8,9,10=4 numbers.
The probability of getting a number greater than 6
=410=0.4
(iv) 1-digit numbers = 1,2,3,4,5,6,7,8,9 = 9 numbers
The probability of getting a 1-digit number =910=0.9
Answer:
Total sectors = 5
- The probability of getting a green sector =35
- Non blue sector = 5-1 = 4
- probability of getting a non-blue sector =45
Q6. Find the probabilities of the events given in Question 2.
When a die is thrown, list the outcomes of an event of getting
(i) (a) a prime number
(b) not a prime number.
(ii) (a) a number greater than 5
(b) a number not greater than 5.
Answer:
Total outcomes = 6
6.(i) (a) prime numbers = 2,3,5 = 3 numbers
Probability of prime number =36=12
(b) non prime numbers = 1,4,6 = 3 numbers
probability of non prime number
=36=12
(ii) (a) number greater than 5 = 6 = 1 number only
probability of getting a number greater than 5
=16
(b) number not greater than 5 = 1,2,3,4,5 = 5 numbers.
probability of getting a number not greater than 5 =56
NCERT Solutions for Class 8 Maths: Chapter Wise
Importance of NCERT Class 8 Maths Chapter 4 Data Handling Solutions
NCERT Class 8 Maths chapter 4 solutions are very beneficial for students. Here are some important features of these solutions.
- These solutions are well explained in every step. Students will get a clear idea about how to solve these questions.
- After analyzing these solutions, students will have a better idea about how to gather, organize, and represent data.
- The latest CBSE guidelines have been followed in these solutions.
- This solution article contains important links, like NCERT exemplar solutions, NCERT notes, Reference books, and the 2025-26 Maths syllabus.
NCERT Class 8 Maths Solutions: Subject Wise
Students can use the links below to prepare efficiently in other subjects as well as Mathematics.
NCERT Books and NCERT Syllabus
The following links will give students access to the latest CBSE syllabus and some reference books.
Frequently Asked Questions (FAQs)
1. What are the important topics of chapter Data Handling ?
Organizing and grouping data, bar charts, pie charts, probability are the important topics of this chapter.
2. Does CBSE class maths is tough ?
CBSE class 8 maths is a basic and very simple maths where most of the topics related to the previous classes.
3. Where can I find the complete solutions of NCERT for class 8 ?
Here you will get the detailed NCERT solutions for class 8 by clicking on the link.
4. Where can I find the complete solutions of NCERT for class 8 maths ?
Here you will get the detailed NCERT solutions for class 8 maths by clicking on the link.
5. How many chapters are there in the CBSE class 8 maths ?
There are 16 chapters starting from rational number to playing with numbers in the CBSE class 8 maths.
6. Which is the official website of NCERT ?
ncert.nic.in is the official website of the NCERT where you can get NCERT textbooks and syllabus from class 1 to 12.
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