Class – 6 CH-9 DATA HANDLING MATHS NCERT SOLUTIONS

 

Class – 6 CH-9 DATA HANDLING

MATHS NCERT SOLUTIONS

 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? 

  Solution 1:  

Marks Tally Marks No. of students 

1 

2 

3 

4 

5 

6 

7 

8 

9   2 

3 

3 

7 

6 

7 

5 

4 

3 

(a) Twelve students  

(b) Eight students 

 

 

Question 2:   

Following is the choice of sweets of 30 students of Class VI. 

Ladoo, Barfi, Ladoo, jalebi, Ladoo, Rashulla, Jalebi, Ladoo, Barfi, Rasgulla, Ladoo, Jalebi, Jalebi, Rashulla, 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? 

  Solution 2: 

(a) Table using tally marks: 

Sweets Tally Marks No. of students 

Ladoo 

Barfi 

Jalebi 

Rasgulla   11 

3 

7 

9 

30 

(b) Ladoo. Because 11 students prefer eat. 

 

 

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. 

  Solution 3:  

Numbers Tally Marks How many times? 

1 

2 

3 

4 

5 

6   7 

6 

5 

4 

11 

7 

(a) The minimum number of times  = 4 

(b) The maximum number of times  = 5 

(c) 1 and 6 

4

Following pictograph shows the number of tractors in five villages: 

Villages Number of tractors   

    

    

    

    

    

Observe the pictograph and Solution 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?   Solution 4:  

(i)  Village D (ii) Village C  (iii) 3  (iv) 28 

 

 

Question 5:   

The number of girl students in each class of a co-educational middle school is depicted by the pictograph. 

Classes Number of girl students   

    

    

    

    

    

    

    

    

Observe this pictograph and Solution 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? 

 

  Solution 5: 

(a) Class VIII (b) No  (c) 3 × 4 = 12 girls 

 

 

Question 6:   

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

Days Number of electric bulbs   

    

    

    

    

    

    

    

Observe the pictograph and Solution 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? 

  Solution 6:  

(a) Number of bulbs sold on Friday are 14. 

(b) Maximum number of bulbs (18) were sold on Sunday. 

(c) Same number of bulbs (8) were sold on Wednesday and Saturday. 

(d) Then minimum number of bulbs (8) were sold on Wednesday and Saturday. 

(e) The total number of bulbs sold in the given week were 86.  

   So the number of carton required to hold 86 bulb = 86/9  10.    Hence, 10 cartons required to hold the bulbs. 

 

7

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

Name of fruit merchants Number of fruit baskets    

    

    

    

    

    

    

Observe this pictograph and Solution 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? 

  Solution 7:  

(a) Martin 

(b) 7 × 100 = 700 fruit basket 

(c) Anwar, Martin, Ranjit Singh 

 

 

 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           to represent 10 animals and Solution 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? 

  Solution 1:  

                                    10 animals  =   

 

Village A 

 

Village B 

 

Village C 

 

Village D 

 

Village E 

   

 

   

80 

 

120 

 

90 

 

40 

 

60 

(a) 6  

(b) Village B  

(c) Village C has more animals than Village A 

 

 

 

 

2  

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 

 

A. Prepare a pictograph of students using one symbol           to represent 100 students and Solution 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? 

B. Prepare another pictograph of students using any other symbol each representing 50 students. Which pictograph do you find more informative?   Solution 2:  

 

Years  

               100 students = 

 

 

1996 

 

1998 

 

2000 

 

2002 

 

2004 

    

(a) 6 

(b) Five completed and one incomplete. 

 

 

 

 

B. 

 

Years 50 students          = 

 

 

1996 

 1998 

 

2000 

 

2002 

 

2004 

   

  

 

 

Pictograph B is more informative than A. 

 

 

 

 

 Exercise 9.3  

Question 1:   

The bar graph given below shows the amount of wheat purchased by government during the year 1998 – 2002. 

 

 

Read the bar graph and write down your observations. 

(a) In which year was the wheat production maximum? 

(b) In which year was the wheat production minimum? 

 

  Solution 1:  

(a) In 2002, production of wheat was maximum. 

(b) In 1998, production of wheat was minimum. 

 

 

 

 

Question 2:   

Observe this bar graph which is showing the sale of shirts in a readymade shop from Monday to Saturday. 

 

Now Solution 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? 

  Solution 2:  

(a) The bar graph shows the sale of shirt in a readymade shop from Monday to Saturday. 

(b) 1 unit = 5 shirts 

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

(d) On Tuesday, minimum number of shirts were sold. (e) On Tuesday, 35 shirts were sold. 

 

 

3

Observe this bar graph which shows the marks obtained by Aziz in half yearly examination in different subjects: 

  

Solution the given questions: 

(a) What information is 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. 

  Solution 3:  

(a) The bar graph shows the marks obtained by Aziz in half yearly examination in different subjects. 

(b) Hindi. 

(c) Social Studies. 

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

 

 

 

 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 

Reading story books 

Watching TV 

Listening to music 

Painting  45 

30 

20 

10 

15 

Draw a bar graph to illustrate the above data taking scale of 1 unit length = 5 students. 

Which activity is preferred by most of the students other than playing? 

 

  Solution 1:  

  

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

 

 

 

2

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

Days Sunday Monday Tuesday Wednesday Thursday Friday 

No. of books sold 65 40 30 50 20 70 

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

  Solution 2:  

  

 

3

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

Years Number of bicycles manufactured 

1998 

1999 

2000 

2001 

2002 800 

600 

900 

1100 

1200 

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

  

(a) The maximum number of bicycles manufactures in 2002.  

(b) The minimum number of bicycles manufactured in 1999. 

 

4

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

Age Group Number of persons 

1 – 14 

15 – 29 

30 – 44 

45 – 59 

60 – 74 

75 and above 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 Solution the following questions. (Take 1 unit length = 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? 

  

 

(a) Group 30 – 44 and group 45 – 59 have same population. 

(b) 80,000 + 40,000 = 1,20,000 senior citizens are there in the town.