NCERT Solutions for Class 6 Maths Chapter 4 - Exercise 4.1 Data Handling and Presentation

Exercise 4.1

4.1 Collecting and Organising Data 

Figure it Out (Page No. 75 – 76)

Question 1. What would you do to find the most popular game among Naresh’s and Navya’s classmates?
Solution: By organising the data collected using tally marks.

Question 2. What is the most popular game in their class?
Solution: Hockey

Question 3. Try to find out the most popular game among your classmates.
Solution: It's an activity for students.

Question 4. 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? 🔲
Solution:
(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? ❎

4.1 Collecting and Organising Data

Figure it Out (Page No. 76 – 77)

Question 1. Complete the table to help Shri Nilesh to purchase the correct number 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? 🔲

Solution:

(a) How many students chose Jalebi? 6
(b) Barfi was chosen by 3 students.
(c) How many students chose gujiya? 13
(d) Rasgulla was chosen by 7 students.
(e) How many students chose Gulab Jamun? 9

Question 2. 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?
Solution: No, it is not sufficient.
Shri Nilesh should have also written children’s names against each sweet item. Only then he could have given the right sweet to the right child.

4.1 Collecting and Organising Data

Figure it Out (Page No. 77 – 79)

Question 1. Help her to figure out the following-

• The largest shoe size in the class is ____________

• The smallest shoe size in the class is ____________

• There are ____________ students who wear shoe size 5.

• There are ____________ students who wear shoe sizes larger than 4.

Solution: Here let’s make the frequency table.

• The largest shoe size in the class is 7.

• The smallest shoe size in the class is 3.

• There are 10 students who wear shoe size 5.

• There are 15 students who wear shoe sizes larger than 4.

Question 2. How did arranging the data in ascending order help to answer these questions?
Solution: Let’s arrange the data in ascending order:
3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7
It takes a bit more time to answer as compared to the frequency table.

Question 3. Are there other ways to arrange the data?
Solution: Yes. The data can also be arranged in descending order.

Question 4. 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 bund in the greatest number?
(b) Which tree was found in the smallest number?
(c) Were there any two trees found in the same numbers?
Solution: Do it yourself.

Question 5. 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?
Solution: It is an activity for students.

Benefits of NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.1 Data Handling and Presentation

• The solutions break down complex concepts of data handling into easy-to-understand steps, helping students grasp the topics quickly.

• Students can build a solid foundation by practising organised solutions, which improve their understanding of data collection and organisation.

• These solutions provide step-by-step answers to questions, which helps students prepare effectively for exams.

• The NCERT Solutions for Class 6 Maths Exercise 4.1 breaks down the steps of procuring, collecting and organising data.

Class 6 Maths Chapter 4: Exercises Breakdown

Important Study Material Links for Class 6 Maths Chapter 4 - Data Handling and Presentation

Conclusion

Class 6 Maths Chapter 4 Exercise 4.1 - Organising and Collecting Data introduces students to the important skill of gathering and organizing data effectively. The exercise helps students understand how to categorize information and identify patterns, which are essential for better decision-making and problem-solving. Vedantu's NCERT Solutions for this chapter simplify these concepts through step-by-step explanations, making it easier for students to grasp the material. These solutions are specifically designed to aid in exam preparation, providing a clear understanding of data handling. By using these solutions, students can enhance their learning and confidently approach related questions in their exams.

Chapterwise NCERT Solutions for Class 6 Maths

Related Important Links for Class 6  Maths 

Along with this, students can also download additional study materials provided by Vedantu for Maths Class 6-