NCERT Solutions for Class 6 Maths Chapter 4 Data Handling and Presentation provide clear, step-by-step answers to every exercise and in-text question from the chapter Data Handling and Presentation of the NCERT textbook Ganita Prakash. Prepared by subject experts as per the latest NCERT (CBSE) syllabus for 2026-27, these NCERT Solutions for Class 6 Maths help you understand each concept, write exam-ready answers, and check your own solutions. You can read them online below or download the free Class 6 Maths Chapter 4 question-answer PDF.
NCERT Solutions for Class 6 Maths Chapter 4 Data Handling and Presentation
- Class: Class 6
- Subject: Maths
- Chapter: Chapter 4 – Data Handling and Presentation
- Textbook: Ganita Prakash (NCERT)
- Study material: NCERT Solutions – questions with answers, free PDF
These solutions answer all the exercise questions of Chapter 4 Data Handling and Presentation — including the in-text questions, short-answer and long-answer questions, and activities — with complete explanations so you can follow the method, not just the final answer. Read the full solutions below.
NCERT Solutions Class 6 Maths Chapter 4 Data Handling and Presentation View Download
NCERT Solutions for Class 6 Maths Chapter 4 PDF Download
You can read the NCERT Solutions for Class 6 Maths Chapter 4 online above, or download the complete question-answer PDF to study Data Handling and Presentation offline at any time.
NCERT Solutions for Class 6 Maths Chapter 4 PDF Download Link – Click Here to Download Solutions PDF
Questions Covered in This Chapter
These NCERT Solutions answer all 46 questions of this chapter. The questions solved are:
- What would you do to find the most popular game among Naresh’s and Navya’s classmates?
- What is the most popular game in their class?
- Try to find out the most popular game among your classmates.
- Pari wants to respond to the questions given below. Put a tick (✓) for the questions where she needs to carry out data collection and put a cross (✗) for the questions where she doesn’t need to collect data. Discuss your answers in the classroom. a. What is the most popular TV show among her classmates? b. When did India get independence? c. How much water is getting wasted in her locality? d. What is the capital of India?
- Complete the table to help Shri Nilesh to purchase the correct numbers of sweets: a. How many students chose jalebi? b. Barfi was chosen by ____ students? c. How many students chose gujiya? d. Rasgulla was chosen by ____ students? e. How many students chose gulab jamun?
- Is the above table sufficient to distribute each type of sweet to the correct student? Explain. If it is not sufficient, what is the alternative?
- Help her to figure out the following: a. The largest shoe size in the class is ______. b. The smallest shoe size in the class is ______. c. There are ______ students who wear shoe size 5. d. There are ______ students who wear shoe sizes larger than 4.
- How did arranging the data in ascending order help to answer these questions?
- Are there other ways to arrange the data?
- Write the names of a few trees you see around you. When you observe a tree on the way from your home to school (or while walking from one place to another place), record the data and fill in the following table: a. Which tree was found in the greatest number? b. Which tree was found in the smallest number? c. Were there any two trees found in the same numbers?
- Take a blank piece of paper and paste any small news item from a newspaper. Each student may use a different article. Now, prepare a table on the piece of paper as given below. Count the number of each of the letters ‘c’, ‘e’, ‘i’, ‘r’, and ‘x’ in the words of the news article, and fill in the table. a. The letter found the most number of times is ______. b. The letter found the least number of times is ______. c. List the five letters ‘c’, ‘e’, ‘i’, ‘r’, ‘x’ in ascending order of frequency. Now, compare the order of your list with that of your classmates. Is your order the same or nearly the same as theirs? (Almost everyone is likely to get the order ‘x, c, r, i, e’.) Why do you think this is the case? d. Write the process you followed to complete this task. e. Discuss with your friends the processes they followed. f. If you do this task with another news item, what process would you follow?
- Which mode of travel is used by the most number of students? Which mode of travel is used by the least number of students?
- What is the number of children who always slept at least 9 hours at night?
- How many children sometimes slept at least 9 hours at night?
- How many children always slept less than 9 hours each night? Explain how you got your answer.
- If they want to show their data through a pictograph, where they also use one symbol for each student, as Lakhanpal did, what are the challenges they might face?
- What could be the problems faced in preparing such a pictograph, if the total number of students present in a class is 33 or 27?
- The following pictograph shows the number of books borrowed by students, in a week, from the library of Middle School, Ginnori: a. On which day were the minimum number of books borrowed? b. What was the total number of books borrowed during the week? c. On which day were the maximum number of books borrowed? What may be the possible reason?
- Magan Bhai sells kites at Jamnagar. Six shopkeepers from nearby villages come to purchase kites from him. The number of kites he sold to these six shopkeepers are given below — Chaman 250, Rani 300, Rukhsana 100, Jasmeet 450, Jetha Lal 250, Poonam Ben 700. Prepare a pictograph using the symbol to represent 100 kites. Answer the following questions: a. How many symbols represent the kites that Rani purchased? b. Who purchased the maximum number of kites? c. Who purchased more kites, Jasmeet or Chaman? d. Rukhsana says Poonam Ben purchased more than double the number of kites that Rani purchased. Is she correct? Why?
- In Class 2, ___________ students were absent that day.
- In which class were the maximum number of students absent? ___________
- Which class had full attendance that day? ___________
- How many total cars passed through the crossing between 6 a.m. and noon?
- Why do you think so little traffic occurred during the hour of 6–7 a.m., as compared to the other hours from 7 a.m.–noon?
- Why do you think the traffic was the heaviest between 7–8 a.m.?
- Why do you think the traffic was lesser and lesser each hour after 8 a.m. all the way until noon?
- On the basis of this bar graph, what may be a few questions you may ask your friends?
- How much did the population of India increase over 50 years? How much did the population increase in each decade?
- On which item does Imran’s family spend the most and the second most?
- Is the cost of electricity about one-half the cost of education?
- Is the cost of education less than one-fourth the cost of food?
- Samantha visited a tea garden, and collected data of the insects and critters she saw there. Here is the data she collected — Mites 6, Caterpillars 10, Beetles 5, Butterflies 3, Grasshoppers 2. Help her prepare a bar graph representing this data.
- Pooja collected data on the number of tickets sold at the Bhopal railway station for a few different cities of Madhya Pradesh over a two-hour period — Vidisha 24, Jabalpur 20, Seoni 16, Indore 28, Sagar 16. She used this data and prepared a bar graph on the board to discuss the data with her students, but someone erased a portion of the graph. a. Write the number of tickets sold for Vidisha above the bar. b. Write the number of tickets sold for Jabalpur above the bar. c. The bar for Vidisha is 6 unit lengths and the bar for Jabalpur is 5 unit lengths. What is the scale for this graph? d. Draw the correct bar for Sagar. e. Add the scale of the bar graph by placing the correct numbers on the vertical axis. f. Are the bars for Seoni and Indore correct in this graph? If not, draw the correct bar(s).
- Chinu listed the various means of transport that passed across the road in front of his house from 9 a.m. to 10 a.m. a. Prepare a frequency distribution table for the data. b. Which means of transport was used the most? c. If you were there to collect this data, how could you do it? Write the steps or process.
- Roll a die 30 times and record the number you obtain each time. Prepare a frequency distribution table using tally marks. Find the number that appeared: a. The minimum number of times. b. The maximum number of times. c. Find numbers that appeared an equal number of times.
- Faiz prepared a frequency distribution table of data on the number of wickets taken by Jaspreet Bumrah in his last 30 matches. a. What information is this table giving? b. What may be the title of this table? c. What caught your attention in this table? d. In how many matches has Bumrah taken 4 wickets? e. Mayank says, “If we want to know the total number of wickets he has taken in his last 30 matches, we have to add the numbers 0, 1, 2, 3 …, up to 7.” Can Mayank get the total number of wickets taken in this way? Why? f. How would you correctly figure out the total number of wickets taken by Bumrah in his last 30 matches, using this table?
- The following pictograph shows the number of tractors in five different villages. Observe the pictograph and answer the following questions— a. Which village has the smallest number of tractors? b. Which village has the most tractors? c. How many more tractors does Village C have than Village B? d. Komal says, “Village D has half the number of tractors as Village E.” Is she right?
- The number of girl students in each class of a school is depicted by the pictograph (one symbol = 4 girls). Observe this pictograph and answer the following questions: a. Which class has the least number of girl students? b. What is the difference between the number of girls in Classes 5 and 6? c. If two more girls were admitted in Class 2, how would the graph change? d. How many girls are there in Class 7?
- Mudhol Hounds (a type of breed of Indian dogs) are largely found in North Karnataka’s Bagalkote and Vijaypura districts. The government took an initiative to protect this breed by providing support to those who adopted these dogs. Due to this initiative, the number of these dogs increased. The number of Mudhol dogs in six villages of Karnataka are as follows — Village A : 18, Village B : 36, Village C : 12, Village D : 48, Village E : 18, Village F : 24. Prepare a pictograph and answer the following questions: a. What will be a useful scale or key to draw this pictograph? b. How many symbols will you use to represent the dogs in Village B? c. Kamini said that the number of these dogs in Village B and Village D together will be more than the number of these dogs in the other 4 villages. Is she right? Give reasons for your response.
- A survey of 120 school students was conducted to find out which activity they preferred to do in their free time — Playing 45, Reading story books 30, Watching TV 20, Listening to music 10, Painting 15. Draw a bar graph to illustrate the above data taking the scale of 1 unit length = 5 students. Which activity is preferred by most students other than playing?
- Students and teachers of a primary school decided to plant tree saplings in the school campus and in the surrounding village during the first week of July. Details of the saplings they planted are given in the bar graph. a. The total number of saplings planted on Wednesday and Thursday is ___________. b. The total number of saplings planted during the whole week is ___________. c. The greatest number of saplings were planted on ___________ and the least number of saplings were planted on ___________. Why do you think that is the case? Why were more saplings planted on certain days of the week and less on others? Can you think of possible explanations or reasons? How could you try and figure out whether your explanations are correct?
- The number of tigers in India went down drastically between 1900 and 1970. Project Tiger was launched in 1973 to track and protect the tigers in India. Starting in 2006, the exact number of tigers in India was tracked. Shagufta and Divya looked up information about the number of tigers in India between 2006 and 2022 in four-year intervals. They prepared a frequency table for this data and a bar graph to present this data, but there are a few mistakes in the graph. Can you find those mistakes and fix them?
- How much taller is Mount Everest than Mount Koscuiszko? Are Mount Denali and Mount Kilimanjaro very different in height?
- If you wanted to visually represent the data of the heights of the tallest persons in each class in your school, would you use a graph with vertical bars or horizontal bars? Why?
- If you were making a table of the longest rivers on each continent and their lengths, would you prefer to use a bar graph with vertical bars or with horizontal bars? Why? Try finding out this information, and then make the corresponding table and bar graph! Which continents have the longest rivers?
- What is 5642 × 2?
Chapter at a Glance
- Data is any collection of facts, numbers, measures or observations that gives us information about things. A jumbled list is data too — but it hides its answer until it is organised.
- Data is organised in a frequency table using tally marks , drawn in bundles of five ( |||| ). The frequency is the number of times a value occurs.
- A pictograph shows data with pictures. Its key (or scale) tells how much one symbol stands for — 1 student, 5 students, 100 kites — and a half symbol stands for half of that.
- A bar graph uses bars of uniform width with equal gaps ; the height or length of a bar gives the frequency. The markings must always start from zero .
- Choosing a good scale is the heart of both — it must divide the data neatly and let the whole picture fit on the page.
- Heights are best shown with vertical bars (a column graph) and lengths with horizontal bars. Making a picture too fancy — an infographic — can quietly mislead the reader.
How to Download NCERT Solutions for Class 6 Maths Chapter 4 PDF
Follow these simple steps to get the Data Handling and Presentation questions-and-answers PDF from Ganita Prakash.
- Search NCERT Solutions for Class 6 Maths Chapter 4 aglasem and open this page.
- Read the exercise questions with answers for Data Handling and Presentation shown above.
- Click the Download PDF link to save the Data Handling and Presentation solutions to your device.
NCERT Solutions for Class 6 Maths – All Chapters
There are more chapters to study besides Data Handling and Presentation in Maths. Here are the NCERT Solutions for all chapters of Class 6 Maths.
- Chapter 1 Patterns in Mathematics
- Chapter 2 Lines and Angles
- Chapter 3 Number Play
- Chapter 4 Data Handling and Presentation
- Chapter 5 Prime Time
- Chapter 6 Perimeter and Area
- Chapter 7 Fractions
- Chapter 8 Playing with Constructions
- Chapter 9 Symmetry
- Chapter 10 the Other Side of Zero
NCERT Solutions for Class 6 – All Subjects
Just like Chapter 4 of Maths, you can get the exercise questions with answers for every other subject of Class 6. Here are the NCERT Solutions for all subjects of Class 6.
NCERT Solutions for Class 6 Maths Chapter 4 – An Overview
The key highlights of this study material are as follows.
| Aspects | Details |
|---|---|
| Class | Class 6 |
| Subject | Maths |
| Chapter Number | Chapter 4 |
| Chapter Name | Data Handling and Presentation |
| Book Name | Ganita Prakash |
| Book By | NCERT (National Council of Educational Research and Training) |
| Educational Resource Here | NCERT Solutions of Class 6 Maths Chapter 4 for all exercises |
| More Questions Answers of This Subject | NCERT Solutions for Class 6 Maths |
| Download Book Chapter | NCERT Book Class 6 Maths |
| All Questions Answers For This Class | NCERT Solutions for Class 6 |
| Complete Solutions | NCERT Solutions |
NCERT Solutions for Class 6 Maths Chapter 4 Data Handling and Presentation – FAQs
What are the NCERT Solutions for Class 6 Maths Chapter 4 Data Handling and Presentation?
They are the complete, step-by-step answers to all the exercise and in-text questions of Chapter 4 Data Handling and Presentation from the NCERT Class 6 Maths textbook Ganita Prakash, written by experts as per the latest NCERT syllabus.
How can I download the Class 6 Maths Chapter 4 solutions PDF for free?
Open this page on aglasem, read the Data Handling and Presentation questions with answers, and click the “Download Solutions PDF” link. The Class 6 Maths Chapter 4 NCERT Solutions PDF is completely free to download.
Are these NCERT Solutions as per the latest 2026-27 syllabus?
Yes. The NCERT Solutions for Class 6 Maths Chapter 4 are based on the latest NCERT textbook Ganita Prakash and the current 2026-27 CBSE syllabus, so the questions and answers match what you study in class.
Where can I get NCERT Solutions for the other chapters of Class 6 Maths?
You can find the answers to every chapter on the NCERT Solutions for Class 6 Maths page, and solutions for every subject on the NCERT Solutions for Class 6 page.
How do NCERT Solutions help in exam preparation?
They show the correct method to solve each question, help you write answers the way they are expected in exams, let you check and correct your own work, and save revision time — which together improve your marks in Class 6 Maths.
If you have any queries on NCERT Solutions for Class 6 Maths Chapter 4 Data Handling and Presentation, then please ask in the comments below.
