## NCERT Solutions For Class 6 Maths Chapter 9 Data Handling

Here at MentorAtHome, We provide NCERT Solutions For Class 6 Maths Chapter 9 Data Handling. NCERT solutions help students to improve their performance, and attain better results. In NCERT Solutions Class 6 Maths Chapter 9 there is 4 exercise.

### NCERT Solutions For Class 6 Maths Chapter 9 Data Handling Exercises 9.1

Class 6th Maths Chapter 9 Solutions ex 9.1

**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 | 8 | 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?**

Ans:-

Marks | Tally Marks | Number Of Students |

1 | || | 2 |

2 | ||| | 3 |

3 | ||| | 3 |

4 | || | 7 |

5 | | | 6 |

6 | || | 7 |

7 | 5 | |

8 | |||| | 4 |

9 | ||| | 3 |

(a) Number of students who obtained marks equal to or more than 7

= 5 + 4 + 3 = 12

(b) Number of students who obtained marks below 4

= 2 + 3 + 3 = 8.

**Q.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?**

Ans:-

(a) We have the following table:

Sweets | Tally Marks | Number Of Students |

Ladoo | | | 11 |

Barfi | ||| | 3 |

jalebi | || | 7 |

Rasgulla | |||| | 9 |

30 |

(b) Ladoo is preferred by most of the students, i.e., 11 students.

**Q.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 | 3 | 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.**

Ans:-

Numbers | Tally Marks | Numbers Of times |

1 | || | 7 |

2 | | | 6 |

3 | 5 | |

4 | |||| | 4 |

5 | | | 11 |

6 | || | 7 |

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

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

(c) The numbers 1 and 6 appear for the same number of times, i.e., 7.

**Q.4. Following pictograph shows the number of tractors in five villages.**

**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 the five villages?**

Ans:-**(i) **Village D has the minimum number of tractors.

(ii) Village C has the maximum number of tractors.

(iii) Village C has 3 tractors more than that of village B.

(iv) The total number of tractors in all the villages is 28.

**Q.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?**

Ans:-

(a) Class VIII has the minimum number of girl students = 6.

(b) No. Class V has 10 girl students and Class VI has 16 girl students

(So, the number of girl students in Class VI is not less than that of in Class V.)

(c) Number of girls in Class VII = 3 x 4 = 12

**Q**.**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?**

Ans:-**(a) **Number of bulbs sold on Friday = 7 x 2 = 14**(b)** On Sunday highest number of bulbs = 9 x 2 = 18 which is maximum in number.**(c)** On Wednesday and Saturday, the same number of bulbs were sold, i.e., 4 x 2 = 8**(d)** Minimum number of bulbs were sold on Wednesday and Saturday i.e., 4 x 2 = 8**(e)** Total number of bulbs sold in a week = 12 + 16 + 8 + 10 + 14 + 8 + 18 = 86

**Q**.**7. In a village six fruit merchants sold the following number of fruit baskets in a particular season:****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?**

Ans:-

(a) Martin sold the maximum number of fruit baskets, = 950

(c) Number of fruit baskets sold by Anwar is 7 x 100 = 700.

(c) Anwar, Martin, and Ranjit Singh have sold 600 or more fruit baskets and planning to buy a godown.

### NCERT Solutions For Class 6 Maths Chapter 9 Data Handling Exercises 9.2

NCERT Class 6 Maths Chapter 9 Solutions ex 9.2

**Q.1. A total number of animals in the five villages are as follows:****Village A: 80Village B: 120Village C: 90Village D: 40Village E: 60**

**(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?**

Ans:-

(a) Six symbols are used to represent the number of animals in village E.

(6) Village B has the maximum number of animals, i.e., 120

(c) Village C has a more number of animals.

**Q.2. The total number of students of a school in different years is shown in the following table**

Years | Numbers Of Students |

1996 | 400 |

1998 | 535 |

2000 | 472 |

2002 | 600 |

2004 | 623 |

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

Ans:-**(A)**

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

(b) 5 complete and 1 incomplete symbol represent the total number of students for the year 1998**(B)**

### NCERT Solutions For Class 6 Maths Chapter 9 Data Handling Exercises 9.3

Ch 9 Class 6 Maths Solutions ex 9.3

**Q.1. The bar graph given alongside shows the amount of wheat purchased by the 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?**

Ans:-

(**a) **The wheat production was maximum in the year 2002**(b)** The wheat production was minimum in the year 1998

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

**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 a **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?

Ans:-

(a) The above bar graph shows the number of shirts sold from Monday to Saturday

(b) 1 unit length = 5 shirts is the scale on the horizontal line representing a number of shirts.

(c) On Saturday maximum number of shirts sold i.e 60 shirts were sold.

(d) On Tuesday minimum number of shirts sold i.e 10 shirts were sold.**(e) **35 shirts were sold on Thursday

**Q.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.**

Ans:-**(a)** This bar graph shows the marks obtained by Aziz in half-yearly different subjects.**(b) **In Hindi, Aziz has scored the maximum marks.= 80**(c) **In social studies, he has scored the minimum marks. = 40**(d)** Hindi â€“ 80 marks English â€“ 60 marks Mathematics â€“ 70 marks

Science â€“ 50 marks Social Studies â€“ 40 marks

### NCERT Solutions For Class 6 Maths Chapter 9 Data Handling Exercises 9.4

Ch 9 Class 6 Maths Solutions

**Q.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 storybooks | 30 |

Watching T.V | 20 |

Listening to music | 10 |

Painting | 15 |

**Draw a bar graph to illustrate the above data taking a scale of 1 unit length = 5 students. Which activity is preferred by most of the students other than playing?**

Ans:-

From the given information, we have the following bar graph.

1 unit length = 5 students,

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

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

Days | Sunday | Monday | Tuesday | Wednesday | Thursday | Friday |

Numbers Of Book Sold | 65 | 40 | 30 | 50 | 20 | 70 |

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

Ans:-

The given information, we have the following bar graph:

1 unit length = 10 books

**Q.3. the 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 | Numbers Of Bicycles Manufactured |

1998 | 800 |

1999 | 600 |

2000 | 900 |

2001 | 1100 |

2002 | 1200 |

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

Ans:-

The given information, we have:

(a) In the year 2002, the maximum number of bicycles were manufactured. = 1200

(b) In the year 1999, the minimum number of bicycles were manufactured = 600

1 unit length = 100

**Q.4. A number of persons in various age groups in a town is given in the following table.**

Age Group ( in years) | 1-14 | 15-60 | 30-44 | 45-59 | 60-74 | 75 and above |

Numbers of persons | 2 lakhs | 1 lakhs 60 thousands | 1 lakhs 20 thousands | 1 lakhs 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?**

Ans:-

With the above information, we have the bar graph.

1 unit length = 20 thousands

(a) Age groups of 30 â€“ 44 and 45 â€“ 59 have the same population.

(b) Number of Senior citizens are 80,000 + 40,000 = 1,20,000

Hence, the number of senior citizens in the town are 1 lakh 20 thousand

Class 6 Science NCERT Notes | Class 6 Complete Study Material |

NCERT Solutions for Class 6 Science | Class 6 Maths Chapter 6 Solutions |

NCERT Solutions For Class 6 Maths Chapter 8 decimal are based on NCERT Books. You can download ncert book for class 6 maths chapter 9. Ch 8 class 6 maths solutions are designed by our subject expert team.

## What We Learn?

- We have seen that data is a collection of numbers gathered to give some information.
- To get a particular information from the given data quickly, the data can be arranged

in a tabular form using tally marks. - We learnt how a pictograph represents data in the form of pictures, objects or parts

of objects. We have also seen how to interpret a pictograph and answer the related

questions. We have drawn pictographs using symbols to represent a certain number

of items or things. For example, 1 symbole= 100 books. - We have discussed how to represent data by using a bar diagram or a bar graph. In

a bar graph, bars of uniform width are drawn horizontally or vertically with equal

spacing between them. The length of each bar gives the required information. - To do this we also discussed the process of choosing a scale for the graph.

For example, 1 unit = 100 students. We have also practised reading a given bar

graph. We have seen how interpretations from the same can be made.

## FAQ

###### Why do we need data handling?

Data handling is importantÂ in ensuring the integrity of research data sinceÂ it addresses concerns related to confidentially, security, and preservation/retention of research data.

###### What are the methods of handling data?

Types of Data Handling

Bar Graph.

Pictograph.

Line Graph.

Stem and Leaf Plots.

Histogram.

Dot Plots.

Cumulative Tables and graphs.

Frequency Distribution.

###### How many types of data handling are there?

The two types of data handling areÂ qualitative data and quantitative data.