NCERT Solutions for Class 6 Maths Chapter 9 Data Handling

 

NCERT Solutions for Class 6 Maths Chapter 9 Data Handling: 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 daily life, you must have seen different data like in newspapers- business analysis, in cricket match comparison of the score of two teams, runs scored by batsman, number of total balls faced by batsman, number of dot balls, number of fours and sixes by batsman or team, strike rate, etc. What is the purpose of this data which they have accumulated and how to handle it? In CBSE NCERT solutions for class 6 maths chapter 9 data handling, you will get the answer to the above question. In the digital world, data is new oil which 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 the above example of the batsman, data is collected to analyze his performance and make decisions for further matches. In solutions of NCERT for class 6 maths chapter 9 data handling, you will get many questions related to collecting data and use it to make some important outcomes. Also, you will learn to represent data in tabular form using tally marks, using pictogram, and to draw a bar graph from the collected data. From the pictogram and bar graph, you can get information like the minimum and maximum value of data, in which year minimum occurred, etc. There are 16 questions in 4 exercises given in the textbook. You will get detailed explanations of all these questions in CBSE NCERT solutions for class 6 maths chapter 9 data handling. You can get NCERT solutions from class 6 to 12 by clicking on the above link.

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

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. 

The main content heading of NCERT Solutions for Class 6 Maths Chapter 9 are given below:

9.1 Introduction

9.2 Recording Data

9.3 Organisation of Data

9.4 Pictograph

9.5 Interpretation of a Pictograph

9.6 Drawing a Pictograph

9.7 A Bar Graph

9.7.1 Interpretation of a bar graph

9.7.2 Drawing a bar graph

Here are the NCERT Solutions for Class 6 Maths Chapter 9 Data Handling:

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

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?                           

  (c) How many girls are there in Class VII? 

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.

(c) Number of girls in class VII =3\times 4=12

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

             

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?

(c) On which of the days same number of bulbs were sold?

(d) On which of the days 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.

(c) On both Wednesday and saturday, 8 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)

CBSE NCERT solutions for 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?

         (c) Which village has more animals: village A or village C? 

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.

(c) Village C has more animals. 

NCERT solutions for 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?

    

Answer:

(a) In 2002 the wheat production maximum.

(b) In 1998 the wheat production minimum.

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.

(c) Name the subject in which he has scored minimum marks.

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

    

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.

(c) Aziz scored minimum marks in Social Science.

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

NCERT Solutions for Class 6 Mathematics - Chapter-wise

Chapters No.

Chapters Name

Chapter - 1 

Solutions of NCERT for class 6 maths chapter 1 Knowing Our Numbers

Chapter - 2

CBSE NCERT solutions for class 6 maths chapter 2 Whole Numbers

Chapter - 3

NCERT solutions for class 6 maths chapter 3 Playing with Numbers

Chapter - 4

Solutions of NCERT for class 6 maths chapter 4 Basic Geometrical Ideas

Chapter - 5

CBSE NCERT solutions for class 6 maths chapter 5 Understanding Elementary Shapes

Chapter - 6

NCERT solutions for class 6 maths chapter 6 Integers

Chapter - 7

Solutions of NCERT for class 6 maths chapter 7 Fractions

Chapter- 8

NCERT solutions for class 6 maths chapter 8 Decimals

Chapter - 9

CBSE NCERT solutions for class 6 maths chapter 9 Data Handling

Chapter -10

NCERT solutions for class 6 maths chapter 10 Mensuration

Chapter -11

Solutions of NCERT for class 6 maths chapter 11 Algebra

Chapter -12

CBSE NCERT solutions for class 6 maths chapter 12 Ratio and Proportion

Chapter -13

NCERT solutions for class 6 maths chapter 13 Symmetry

Chapter -14

Solutions of NCERT for class 6 maths chapter 14 Practical Geometry

NCERT Solutions for Class 6 - Subject wise

NCERT Solutions for class 6 maths
Solutions of NCERT 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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