NCERT Solutions for Class 6 Maths Chapter 9 Data Handling

Edited By Ramraj Saini | Updated on Nov 30, 2023 09:57 AM IST

NCERT Solutions for Class 6 Maths Chapter 9 Data Handling are provided here. These NCERT solutions are created by expert team at Careers360 keeping in mind latest CBSE 2023 syllabus. The collection of some valuable information is known as data. It is done on the basis of the need for a particular case to make any decision. In the digital world, data is the new oil that has much wider use. Any technology like machine learning or Artificial Intelligence has no use if the data is not available. The information or so-called data is collected to analyze and make important decisions based on the need. In solutions of NCERT for data handling class 6, you will get many questions related to collecting data and use it to make some important outcomes.

Latest: Important Maths Formulas for Class 6 - Chapterwise

This Story also Contains

NCERT Solutions for Class 6 Maths Chapter 9 Data Handling - Important Points
NCERT Solutions for Class 6 Maths Chapter 9 Data Handling
NCERT Solutions for Class 6 Maths Chapter 9 Data Handling (Intext Questions and Exercise)
NCERT Class 6 Maths Chapter 9 Data Handling Exercise 9.1
NCERT Class 6 Maths Chapter 9 Data Handling Exercise 9.2
NCERT Class 6 Maths Chapter 9 Data Handling Exercise 9.3
NCERT Class 6 Maths Chapter 9 Data Handling Exercise 9.4
NCERT Solutions for Class 6 Maths Chapter 9 - Topics
NCERT Solutions for Class 6 Mathematics Chapter Wise
Key features of NCERT Solutions for Class 6 Maths chapter 9
NCERT Solutions for Class 6 Mathematics Subject Wise

$NCERT Solutions for Class 6 Maths Chapter 9 Data Handling$

NCERT Solutions for Class 6 Maths Chapter 9 Data Handling

Also, you will learn to represent data in tabular form using tally marks, using pictograms, and drawing a bar graph from the collected data. Students must finish the NCERT Syllabus for Class 6 Maths in time. There are 16 questions in the 4 exercises given in the NCERT. You will get detailed explanations of all these questions in NCERT Solutions for Class 6 . It is advisable that students must refer to the NCERT Class 6 Maths Books to clear all the basic concepts. You can get NCERT Solutions from Classes 6 to 12 by clicking on the above link.

Let's understand this chapter with the help of an example:-

sc921

The above bar graph gives information about wheat sold by industry in the year 1998 to 2002. In the bar graph, the horizontal line represents the year and the vertical line represents wheat sold in thousand tonnes and 1unit = 5000 tonnes. It is clear from the graph the wheat sold is maximum in the year 2002 and the amount is 30 units = $30\times5=150\ thousand\ tonnes=150,000\ tonnes$ . Similarly, we can calculate the amount of wheat sold in another year also. The minimum amount is sold in the year 1998.

NCERT Solutions for Class 6 Maths Chapter 9 Data Handling - Important Points

Scaling factor: for example 1 cm = 100 People

Data: Data is a collection of numbers gathered to provide information.

Frequency: In data representation, frequency refers to the number of times a particular value or category occurs. It is determined by counting the tally marks in the respective category.

Frequency Table: A frequency table is a tabular representation that shows the frequency of each value or category in the data set. It consists of two columns: one for the values or categories and another for their corresponding frequencies.

Interpretation: By organizing data using tally marks and frequency tables, we can quickly interpret and analyze the information. This helps in making comparisons, identifying patterns, and drawing conclusions from the data.

Free download NCERT Solutions for Class 6 Maths Chapter 9 Data Handling PDF for CBSE Exam.

NCERT Solutions for Class 6 Maths Chapter 9 Data Handling

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NCERT Solutions for Class 6 Maths Chapter 9 Data Handling (Intext Questions and Exercise)

NCERT Class 6 Maths Chapter 9 Data Handling Exercise 9.1

Question:1 In a Mathematics test, the following marks were obtained by 40 students. Arrange these marks in a table using tally marks.

8	1	3	7	6	5	5	4	4	2
4	9	5	3	7	1	6	5	2	7
7	3	8	4	2	8	9	5	8	6
7	4	5	6	9	6	4	4	6	6

(a) Find how many students obtained marks equal to or more than 7.

(b) How many students obtained marks below 4?

Answer:

Marks Obtained	Tally Marks	Number of Students
1	$\mid \mid$	2
2	$\mid \mid \mid$	3
3	$\mid \mid \mid$	3
4	$\bcancel{\mahsf{\mid \mid \mid \mid }} \mid \mid$	7
5	$\bcancel{\mahsf{\mid \mid \mid \mid }} \mid$	6
6	$\bcancel{\mahsf{\mid \mid \mid \mid }} \mid \mid$	7
7	$\bcancel{\mahsf{\mid \mid \mid \mid }}$	5
8	$\mid \mid \mid \mid$	4
9	$\mid \mid \mid$	3
Total		40

(a) Number of students who obtained marks equal to or more than 7 = 5 + 4 + 3 = 12

(b) Number of students who students obtained marks below 4 = 3 + 3 + 2 = 8

Question: 2 Following is the choice of sweets of 30 students of Class VI. Ladoo, Barfi, Ladoo, Jalebi, Ladoo, Rasgulla, Jalebi, Ladoo, Barfi, Rasgulla, Ladoo, Jalebi, Jalebi, Rasgulla, Ladoo, Rasgulla, Jalebi, Ladoo, Rasgulla, Ladoo, Ladoo, Barfi, Rasgulla, Rasgulla, Jalebi, Rasgulla, Ladoo, Rasgulla, Jalebi, Ladoo.

(a) Arrange the names of sweets in a table using tally marks.

(b) Which sweet is preferred by most of the students?

Answer:

Sweets	Tally Marks	Number of Students
Ladoo	$\bcancel{\mahsf{\mid \mid \mid \mid }}\bcancel{\mahsf{\mid \mid \mid \mid }}\mid$	11
Barfi	$\mid \mid \mid$	3
Jalebi	$\bcancel{\mahsf{\mid \mid \mid \mid }}\mid \mid$	7
Rasgulla	$\bcancel{\mahsf{\mid \mid \mid \mid }}\mid \mid \mid \mid$	9
Total		30

(b) Ladoo is preffered by the maximum number of students, 11 students prefer

Question:3 Catherine threw a dice 40 times and noted the number appearing each time as shown below :

1 3 5 6 6 3 5 4 1 6

2 5 3 4 6 1 5 5 6 1

1 2 2 3 5 2 4 5 5 6

5 1 6 2 3 5 2 4 1 5

Make a table and enter the data using tally marks. Find the number that appeared.

(a) The minimum number of times

(b) The maximum number of times

c) Find those numbers that appear an equal number of times.

Answer:

Number shown by the dice	Tally Marks	Number of Times
1	$\bcancel{\mahsf{\mid \mid \mid \mid }} \mid \mid$	7
2	$\bcancel{\mahsf{\mid \mid \mid \mid }} \mid$	6
3	$\bcancel{\mahsf{\mid \mid \mid \mid }}$	5
4	$\mid \mid \mid \mid$	4
5	$\bcancel{\mahsf{\mid \mid \mid \mid }} \bcancel{\mahsf{\mid \mid \mid \mid }} \mid$	11
6	$\bcancel{\mahsf{\mid \mid \mid \mid }} \mid \mid$	7
Total		40

(a) The number that appeared the minimum number of times is 4. ( 4 times)

(b) The number that appeared the maximum number of times is 5. ( 11 times)

Question:4 Following pictograph shows the number of tractors in five villages.

1643777647890

Observe the pictograph and answer the following questions.

(i) Which village has the minimum number of tractors?

(ii) Which village has the maximum number of tractors?

(iii) How many more tractors village C has as compared to village B.

(iv) What is the total number of tractors in all five villages?

Answer: (a) Village D has only three tractors which is the minimum.

(b) Village C has eight tractors which is the maximum.

Village B has five tractors

Village C has three tractors more than village B.

(d) The total number of tractors in all the villages = 6 + 5 + 8 + 3 + 6 = 28.

Question: 5 The number of girl students in each class of a co-educational middle school is depicted by the pictograph : 1643777676251

Observe this pictograph and answer the following questions :

(a) Which class has the minimum number of girl students?

(b) Is the number of girls in Class VI less than the number of girls in Class V?

Answer: (a) Class VIII has the minimum number of girls.

Number of girls in class VIII = $\frac{3}{2}\times 4=6$

(b) Number of girls in class VI = $4\times 4=16$

Number of girls in class V = $\frac{5}{2}\times 4=10$

Therefore the number of girls in Class VI is not less than the number of girls in Class V.

Question:6 The sale of electric bulbs on different days of a week is shown below :

1643777890287

Observe the pictograph and answer the following questions :

(a) How many bulbs were sold on Friday?

(b) On which day were the maximum number of bulbs sold?

(d) On which of the day's minimum number of bulbs were sold?

(e) If one big carton can hold 9 bulbs. How many cartons were needed in the given week?

Answer: (a) The number of bulbs sold on Friday = $7\times 2=14$ .

(b) On Sunday the maximum number of bulbs were sold.

(d) On Wednesday and saturday, the minimum number of bulbs (8) were sold.

(e) Total number of bulbs sold in the weekend =

$\\=(6+8+4+5+7+4+9)\times 2\\ =43\times 2\\ =86$

$\frac{86}{9}=9 +\frac{5}{9}$

Number of cartons required = 9 + 1 = 10 ( we cannot have fractional number of boxes)

Question: 7 In a village six fruit merchants sold the following number of fruit baskets in a particular season :

1643777945741

Observe this pictograph and answer the following questions :

(a) Which merchant sold the maximum number of baskets?

(b) How many fruit baskets were sold by Anwar?

(c) The merchants who have sold 600 or more number of baskets are planning to buy a godown for the next season. Can you name them?

Answer: (a) Martin has sold the maximum number of baskets.

(b) Number of fruit baskets were sold by Anwar = $7\times 100=700$

NCERT Class 6 Maths Chapter 9 Data Handling Exercise 9.2

Question:1 Total number of animals in five villages are as follows :

Village A: 80 Village B: 120 Village C: 90 Village D: 40 Village E: 60

Prepare a pictograph of these animals using one symbol $\small \otimes$ to represent 10 animals and answer the following questions :

(a) How many symbols represent animals of village E?

(b) Which village has the maximum number of animals?

Answer:

Villages	Number of Animals $\small \otimes$ = Ten Animals
A	$\small \otimes$ $\small \otimes$ $\small \otimes$ $\small \otimes$ $\small \otimes$ $\small \otimes$ $\small \otimes$ $\small \otimes$
B	$\small \otimes$ $\small \otimes$ $\small \otimes$ $\small \otimes$ $\small \otimes$ $\small \otimes$ $\small \otimes$ $\small \otimes$ $\small \otimes$ $\small \otimes$ $\small \otimes$ $\small \otimes$
C	$\small \otimes$ $\small \otimes$ $\small \otimes$ $\small \otimes$ $\small \otimes$ $\small \otimes$ $\small \otimes$ $\small \otimes$ $\small \otimes$
D	$\small \otimes$ $\small \otimes$ $\small \otimes$ $\small \otimes$
E	$\small \otimes$ $\small \otimes$ $\small \otimes$ $\small \otimes$ $\small \otimes$ $\small \otimes$

(a) 6 symbols represent animals of village E.

(b) Village B has the maximum number of animals.

Question:2(A) Total number of students of a school in different years is shown in the following table

Years	Number of students
1996	400
1998	535
2000	427
2002	600
2004	623

Prepare a pictograph of students using one symbol
1643778556073

to represent 100 students and answer the following questions:

(a) How many symbols represent the total number of students in the year 2002?

(b) How many symbols represent the total number of students for the year 1998?

Answer: 1643778584353

(a) 6 symbols represent the total number of students in the year 2002.

(b) $\frac{535}{100}=5+\frac{7}{20}$

5 and 7/20 symbols, i.e 5 complete and 1 incomplete represent the total number of students for the year 1998.

Question: 2(B) Total number of students of a school in different years is shown in the following table

Years	Number of students
1996	400
1998	535
2000	472
2002	600
2004	623

Prepare another pictograph of students using any other symbol each representing 50 students. Which pictograph do you find more informative?

Answer: 1643778780027

The second pictograph is more informative

NCERT Class 6 Maths Chapter 9 Data Handling Exercise 9.3

Question:1 The bar graph given alongside shows the amount of wheat purchased by government during the year $1998-2002$ . Read the bar graph and write down your observations. In which year was

(a) the wheat production maximum?

(b) the wheat production minimum? 1643778855112

Answer: (a) In 2002 the wheat production maximum.

(b) In 1998 the wheat production minimum.

Question: 2 Observe this bar graph which is showing the sale of shirts in a ready-made shop from Monday to Saturday.

1643778888397

Now answer the following questions :

(a) What information does the above bar graph give?

(b) What is the scale chosen on the horizontal line representing the number of shirts?

(d) On which day were the minimum number of shirts sold?

(e) How many shirts were sold on Thursday?

Answer: (a) The bar graph is showing the sale of shirts in a ready-made shop from Monday to Saturday.

(b) 1 unit = 5 shirts.

(d) On Tuesday the minimum number of shirts were sold.

(e) 35 shirts were sold on Thursday.

Question: 3 Observe this bar graph which shows the marks obtained by Aziz in half-yearly examination in different subjects. Answer the given questions.

(a) What information does the bar graph give?

(b) Name the subject in which Aziz scored maximum marks.

(d) State the name of the subjects and marks obtained in each of them. 1643778956193

Answer:(a) This bar graph shows the marks obtained by Aziz in half-yearly examination in different subjects.

(b) Aziz scored maximum marks in Hindi.

(d) ) Hindi – 80, English – 60, Mathematics – 70, Science – 50 and Social Studies – 40.

NCERT Class 6 Maths Chapter 9 Data Handling Exercise 9.4

Question: 1 A survey of 120 school students was done to find which activity they prefer to do in their free time.

Preferred activity	Number of students
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 of the students other than playing?

Answer:

1643779030512

Reading storybooks is preferred by most of the students other than playing.

Question: 2 The number of Mathematics books sold by a shopkeeper on six consecutive days is shown below:

Days	Sunday	Monday	Tuesday	Wednesday	Thursday	Friday
Number of books sold	65	40	30	50	20	70

Draw a bar graph to represent the above information choosing the scale of your choice.

Answer: Using the above-given information the following bar graph has been drawn

The scale is 1 unit = 10 books.

1643779104135

Question:3 Following table shows the number of bicycles manufactured in a factory during the years 1998 to 2002. Illustrate this data using a bar graph. Choose a scale of your choice.

Years	Number of bicycles manufactured
1998	800
1999	600
2000	900
2001	1100
2002	1200

(a) In which year were the maximum number of bicycles manufactured?
(b) In which year were the minimum number of bicycles manufactured?

Answer: The following bar graph illustrates the above-given data:

1643779172421

(a) In 2002 the maximum number of bicycles were manufactured.
(b) In 1999 the minimum number of bicycles were manufactured.

Question:4 Number of persons in various age groups in a town is given in the following table.

Age group (in years)	$\small 1-14$	$\small 15-29$	$\small 30-44$	$\small 45-59$	$\small 60-74$	75 and above
Number of persons	2 lakhs	1 lakh 60 thousands	1 lakh 20 thousands	1 lakh 20 thousands	80 thousands	40 thousands

Draw a bar graph to represent the above information and answer the following questions. (take 1 unit length = 20 thousands)

(a) Which two age groups have the same population?

(b) All persons in the age group of 60 and above are called senior citizens. How many senior citizens are there in the town?

Answer: Following bar graph represents the above given informatio 1643779237375

(a) The age groups 30 - 44 and 45 - 59 have the same population.

(b) People in the age group 60 - 74 = 80,000

People whare 75 and above = 40,000

Total number of senior citizens in the town = 80,000 + 40,000 = 1,20,000

NCERT Solutions for Class 6 Maths Chapter 9 - Topics

Recording Data
Organisation of Data
Pictograph
Interpretation of a Pictograph
Drawing a Pictograph
A Bar Graph
Interpretation of a bar graph
Drawing a bar graph

Also Check

NCERT Books and NCERT Syllabus here:

NCERT Solutions for Class 6 Mathematics Chapter Wise

Chapters No.	Chapters Name
Chapter - 1	Knowing Our Numbers
Chapter - 2	Whole Numbers
Chapter - 3	Playing with Numbers
Chapter - 4	Basic Geometrical Ideas
Chapter - 5	Understanding Elementary Shapes
Chapter - 6	Integers
Chapter - 7	Fractions
Chapter - 8	Decimals
Chapter - 9	Data Handling
Chapter -10	Mensuration
Chapter -11	Algebra
Chapter -12	Ratio and Proportion
Chapter -13	Symmetry
Chapter -14	Practical Geometry

Key features of NCERT Solutions for Class 6 Maths chapter 9

Expertly Crafted Solutions: The NCERT Solutions for Chapter 9 are skillfully developed to offer clear and precise explanations for all the problems and concepts covered in the chapter.

Conceptual Clarity: These solutions aim to enhance students' conceptual understanding by simplifying complex topics and presenting them in a more understandable manner.

Comprehensive Coverage: The solutions for maths Class 6 Chapter 9 encompass all the important topics and subtopics, ensuring that students gain a complete grasp of the chapter.

Exam-Focused Approach: The class 6 chapter 9 maths Solutions follow an exam-focused approach, equipping students with the necessary tools and techniques to effectively tackle questions and achieve better scores in their exams.

NCERT Solutions for Class 6 Mathematics Subject Wise

NCERT Solutions for Class 6 Maths

NCERT Solutions for Class 6 Science

Benefits of NCERT Solutions for Class 6 Maths Chapter 9 Data Handling-

You can get NCERT solutions very easily by clicking the above link.
You will learn to use data in different forms like tabular form using tally marks, using pictogram, bar graph to visualize and analyze data and make the decision based on the need.
You can get to know short tricks and tips to solve problems related to graphs and data.
It will make your homework easy as CBSE NCERT solutions for class 6 maths chapter 9 data handling contains detailed explanations for questions given at the end of every topic also.

Happy learning!

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NCERT Solutions for Class 6 Science Chapter 1 Food Where Does It Come From

NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes

NCERT Solutions for Class 6 Maths Chapter 14 Practical Geometry

NCERT Solutions for Class 6 Maths Chapter 13 Symmetry

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Option 1) $0.34\; J$	Option 2) $0.16\; J$
Option 3) $1.00\; J$	Option 4) $0.67\; J$

Option 1) $2,000 \; J - 5,000\; J$	Option 2) $200 \, \, J - 500 \, \, J$
Option 3) $2\times 10^{5}J-3\times 10^{5}J$	Option 4) $20,000 \, \, J - 50,000 \, \, J$

Option 1) $K/2\,$	Option 2) $\; K\;$
Option 3) $zero\;$	Option 4) $K/4$

Option 1) $11.2\, L\, H_{2(g)}$ at STP is produced for every mole $HCL_{(aq)}$ consumed	Option 2) $6L\, HCl_{(aq)}$ is consumed for ever $3L\, H_{2(g)}$ produced
Option 3) $33.6 L\, H_{2(g)}$ is produced regardless of temperature and pressure for every mole Al that reacts	Option 4) $67.2\, L\, H_{2(g)}$ at STP is produced for every mole Al that reacts .

Option 1) 0.02	Option 2) 3.125 × 10^-2
Option 3) 1.25 × 10^-2	Option 4) 2.5 × 10^-2

Option 1) decrease twice	Option 2) increase two fold
Option 3) remain unchanged	Option 4) be a function of the molecular mass of the substance.

Option 1) Molality	Option 2) Weight fraction of solute
Option 3) Fraction of solute present in water	Option 4) Mole fraction.

Option 1) twice that in 60 g carbon	Option 2) 6.023 × 10²²
Option 3) half that in 8 g He	Option 4) 558.5 × 6.023 × 10²³

Option 1) less than 3	Option 2) more than 3 but less than 6
Option 3) more than 6 but less than 9	Option 4) more than 9

NCERT Solutions for Class 6 Maths Chapter 9 Data Handling

NCERT Solutions for Class 6 Maths Chapter 9 Data Handling - Important Points

NCERT Solutions for Class 6 Maths Chapter 9 Data Handling

NCERT Solutions for Class 6 Maths Chapter 9 Data Handling (Intext Questions and Exercise)

NCERT Class 6 Maths Chapter 9 Data Handling Exercise 9.1

NCERT Class 6 Maths Chapter 9 Data Handling Exercise 9.2

NCERT Class 6 Maths Chapter 9 Data Handling Exercise 9.3

NCERT Class 6 Maths Chapter 9 Data Handling Exercise 9.4

NCERT Solutions for Class 6 Maths Chapter 9 - Topics

NCERT Solutions for Class 6 Mathematics Chapter Wise

Key features of NCERT Solutions for Class 6 Maths chapter 9

NCERT Solutions for Class 6 Mathematics Subject Wise

Benefits of NCERT Solutions for Class 6 Maths Chapter 9 Data Handling-

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