# 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

## Solutions of NCERT for class 6 maths chapter 9 data handling-Exercise: 9.1

 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?

 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

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

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

 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

 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.

 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)

(c) 1 and 6 both appeared 7 times.

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?

(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 =$3\times 4=12$

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?

(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)

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?

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

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

(c) Anwar, Martin and Ranjit Singh have sold more than 600 baskets.

## CBSE NCERT solutions for class 6 maths chapter 9 data handling-Exercise: 9.2

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?

 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.

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

Prepare a pictograph of students using one symbol  to represent 100 students and answer the following questions:

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

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

(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.

 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?

NCERT solutions for class 6 maths chapter 9 data handling-Exercise: 9.3

(a) the wheat production maximum?

(b) the wheat production minimum?

(a) In 2002 the wheat production maximum.

(b) In 1998 the wheat production minimum.

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 number of shirts?

(c) On which day were the maximum number of shirts sold? How many shirts were sold on that           day?

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

(e) How many shirts were sold on Thursday?

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

(b) 1 unit = 5 shirts.

(c) On Saturday the maximum number of shirts sold. 60 shirts were sold on Saturday.

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

(e) 35 shirts were sold on Thursday.

(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.

(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 maths chapter 9 data handling-Exercise: 9.4

 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 scale of 1 unit length $\small =$ 5 students.  Which activity is preferred by most of the students other than playing?

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

 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.

Using the above given information the followiing bar graph has been drawn

The scale is 1 unit = 10 books.

 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?

The following bar graph illustrates the above-given data:

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

 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 $\small =$ 20 thousands)

(a) Which two age groups have 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?

Following bar graph represents the above given informatio

(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 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

## 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!!!