NCERT Solutions Class 6 Maths Chapter 4 Data Handling and Processing Exercise 4.1

Exercise 4.1 of  Chapter 4 – Data Handling and Processing focused on collecting and reading the data and also the organization of it in tables. You will learn to catalog all of the similar data and present it in an organized manner in a table. This learning also allows us to visualize and compare what the data represents.

The chapter is a part of the new NCERT syllabus and helps build a fundamental base and introduction for terms with data handling topics, especially for upcoming classes. It also helps with your observational skills and thinking abilities when dealing with data - both usable in your school exam and Olympiad questions. 

NCERT Solutions provided here gives a step-by-step answers written in simple language. Moreover, the NCERT Solutions are free PDFs to review and ensure your answers and methodologies are clear. Start practicing so you can refresh your data handling knowledge and understanding.

1.0Download NCERT Solutions Class 6 Maths Chapter 4 Data Handling and Processing Exercise 4.1: Free PDF

Exercise 4.1 includes the basics of data collection and easy way to organize data using simple tables. These NCERT Solutions for Class 6 Maths Chapter 4 are presented in a step-by-step manner, with the answer being accurate from each level of steps. Download the free NCERT Solutions PDF from below:

2.0NCERT Solutions Class 6 Chapter 4 Data Handling and Processing: All Exercises

3.0NCERT Class 6 Maths Chapter 4 Data Handling and Processing Exercise 4.1: Detailed Solutions

1. Naresh and Navya decided to go to each student in the class and ask what their favourite game is. Then they prepared a list. Navya is showing the list:

Shri Nilesh is a teacher. He decided to bring sweets to the class to celebrate the new year. The sweets shop nearby has jalebi, gulab jamun, gujiya, barfi, and rasgulla. He wanted to know the choices of the children. He wrote the names of the sweets on the board and asked each child to tell him their preference. He put a tally mark ' $\mid$ ' for each student and when the count reached 5 , he put a line through the previous four and marked it as $1\times N$.

6. 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 choose Gulab Jamun? Sol. (a) 6 (b) 3 (c) $5+5+3=13$ (d) 7 (e) 9
7. 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? Sol. 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.

Sushri Sandhya asked her students about the sizes of the shoes they wear. She noted the data on the board -

4	5	3	4	3	4	5	5	4
5	5	4	5	6	4	3	5	6
4	6	4	5	7	5	6	4	5

8. Help her to figure out the following: Sol. 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. 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.

9. How did arranging the data in ascending order help to answer these questions? Sol. 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.

10. Are there other ways to arrange the data? Sol. Yes, data can be arranged in descending order to find the largest values first, or grouped by frequency to quickly see the most common entries. Another method is grouping data into ranges, helping identify patterns or distributions across broader categories, making analysis more manageable and clear.

11. 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? Sol. It is an activity. Kindly do it yourself.

12. 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 ' $c$ ', ' $e$ ', ' $i$ '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 ' $\mathrm{x},\mathrm{c},\mathrm{r},\mathrm{i},\mathrm{e}$ '). 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? Sol. It is an activity. Kindly do it yourself.

4.0Key Features and benefits for Class 6 Maths Chapter 4 Exercise 4.1

• The exercise teaches collection/sorting/presentation of data using simple tables.
• Questions are useful real life examples that are fun and easy to learn.
• Follows the latest NCERT pattern and matches the CBSE class 6 exam style. 
• Practicing the NCERT solutions helps develop understanding and make it easier to solve questions correctly
• It builds a strong foundation on the data handling topics in school tests and Olympiad exams.
• Solving questions on a regular basis grows confidence and makes exam preparation easier.