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Data Handling

Class 6th Mathematics NCERT Exemplar Solution
Exercise
  1. Using tally marks, which one of the following represents the number eight:A. (111)…
  2. The marks (out of 10) obtained by 28 students in a Mathematics test are listed as…
  3. In question 2 above, the number of students who scored marks less than 4 isA. 15…
  4. The choices of the fruits of 42 students in a class are as follows: A , O , B , M…
  5. According to data of question 4, which fruit is liked by most of the students?A. O…
  6. In a bar graph, the width of bars may be unequal.
  7. In a bar graph, bars of uniform width are drawn vertically only.
  8. In a bar graph, the gap between two consecutive bars may not be the same.…
  9. In a bar graph, each bar (rectangle) represents only one value of the numerical…
  10. To represent the population of different towns using bar graph, it is convenient…
  11. Pictographs and bar graphs are pictorial representations of the numerical data.…
  12. An observation occurring five times in a data is recorded as 11111 , using tally…
  13. In a pictograph, if a symbol 6 represents 50 books in a library shelf, then the…
  14. A _______ is a collection of numbers gathered to give some meaningful…
  15. The data can be arranged in a tabular form using _______ marks.
  16. A _______ represents data through pictures of objects.
  17. In a bar graph, ________ can be drawn horizontally or vertically.…
  18. In a bar graph, bars of ________ width can be drawn horizontally or vertically…
  19. An observation occurring seven times in a data is represented as________ using…
  20. In a pictograph, if a symbol & represents 20 flowers in a basket then & & &…
  21. On the scale of 1 unit length = 10 crore, the bar of length 6 units will…
  22. In an examination, the grades achieved by 30 students of a class are given below.…
  23. The number of two wheelers owned individually by each of 50 families is listed…
  24. The lengths in centimetres (to the nearest centimetre) of 30 carrots are given as…
  25. Thirty students were interviewed to find out what they want to be in future.…
  26. Following are the choices of games of 40 students of Class VI: football, cricket,…
  27. Fill in the blanks in the following table which represents shirt size of 40…
  28. Following pictograph represents some surnames of people listed in the telephone…
  29. Students of Class VI in a school were given a task to count the number of…
  30. The number of scouts in a school is depicted by the following pictograph: Observe…
  31. A survey was carried out in a certain school to find out the popular school…
  32. The following pictograph depicts the information about the areas in sqkm (to…
  33. The number of bottles of cold drinks sold by a shopkeeper on six consecutive days…
  34. The following table gives information about the circulation of newspapers…
  35. Annual expenditure of a company in the year 2007-2008 is given below: Prepare a…
  36. The following bar graph shows the number of houses (out of 100) in a town using…
  37. The following bar graph represents the data for different sizes of shoes worn by…
  38. The following graph gives the information about the number of railway tickets…
  39. The bar graph given below represents approximate length (in kilometres) of some…
  40. The bar graph given below represents the circulation of newspapers in different…
  41. Read the bar graph given below and answer the following questions: Scale: 1 unit…
  42. The lengths in km (rounded to nearest hundred) of some major rivers of India is…
  43. The number of ATMs of different banks in a city is shown below: Draw a bar graph…
  44. Number of mobile phone users in various age groups in a city is listed below:…
  45. The following table gives the number of vehicles passing through a toll gate,…
  46. The following table represents income of a Gram Panchay at from different sources…
  47. The following table gives the data of number of schools (stage-wise) of a country…
  48. Home appliances sold by a shop in one month are given as below: Draw a bar graph…
  49. In a botanical garden, the number of different types of plants are found as…
  50. Prepare a bar graph of the data given in question 28.
  51. Refer to question 39. Prepare a pictograph of the data by taking a suitable…
  52. Prepare a pictograph of the information given in question 38.
  53. Refer to question 23. Prepare a bar graph of the data.
  54. The following table shows the area of the land on which different crops were…
  55. Refer to question 54. Prepare a bar graph of the data.
Exercise
Question 1.

Using tally marks, which one of the following represents the number eight:
A.

B.

C.

D.


Answer:

We know that 8 = 5 + 3 5 is represented by


3 is represented by
Question 2.

The marks (out of 10) obtained by 28 students in a Mathematics test are listed as below:

8, 1, 2, 6, 5, 5, 5, 0, 1, 9, 7, 8, 0, 5, 8, 3, 0, 8, 10, 10, 3, 4, 8, 7, 8, 9,2, 0

The number of students who obtained marks more than or equal to5 is
A. 13

B. 15

C. 16

D. 17
Answer:

In order to find out how many students obtained marks more than or equal to 5, we will arrange the given data in a table, using tally marks.



number of students who obtained marks more than or equal to 5 is


4 + 1 + 2 + 6 + 2 + 2


= 17


So 17 students have obtained marks more than or equal to 5.
Question 3.

In question 2 above, the number of students who scored marks less than 4 is
A. 15

B. 13

C. 12

D. 10
Answer:

From the table of question 2 we can calculate the number of students who scored marks less than 4 marks.


numberofstudentswhoscoredmarkslessthan4is


4 + 2 + 2 + 2


= 10


So 10 students have obtained marks less than 4.
Question 4.

The choices of the fruits of 42 students in a class are as follows:
A , O , B , M , A , G , B , G , A , G ,

B , M , A , G , M , A , B , G , M , B ,

A , O , M , O , G , B , O , M , G , A ,

A , B , M , O , M , G , B , A , M , O , M , O,

where A, B, G, M and O stand for the fruits Apple, Banana, Grapes, Mango and Orange respectively.

Which two fruits are liked by an equal number of students?
A. A and M

B. M and B

C. B and O

D. B and G
Answer:


We can see that banana and grapes are liked by equal number of students i.e. 8 students.
Question 5.

According to data of question 4, which fruit is liked by most of the students?
A. O

B. G

C. M

D. A
Answer:


We can see that 9 students like apple,


8 students like banana and grapes, 10 students like mango and 7 students like orange.


So mango is liked my most students.
Question 6.

In a bar graph, the width of bars may be unequal.
Answer:

False

In a bar graph, bars of uniform width are drawn horizontally or vertically with equal spacing between them.
Question 7.

In a bar graph, bars of uniform width are drawn vertically only.
Answer:

False

In a bar graph, bars of uniform width are drawn horizontally or vertically.
Question 8.

In a bar graph, the gap between two consecutive bars may not be the same.
Answer:

False

In a bar graph, bars of uniform width are drawn with equal spacing between them.
Question 9.

In a bar graph, each bar (rectangle) represents only one value of the numerical data.
Answer:

True

In a bar graph, each bar(rectangle) represents only one value of the numerical data.
Question 10.

To represent the population of different towns using bar graph, it is convenient to take one unit length to represent one person.
Answer:

False

We take scale as per the given data.
Question 11.

Pictographs and bar graphs are pictorial representations of the numerical data.
Answer:

True

Pictographsandbargraphsarepictorialrepresentationsofthenumericaldata.
Question 12.

An observation occurring five times in a data is recorded as

, using tally marks.
Answer:

False

The numerical data 5 represented as
Question 13.

In a pictograph, if a symbol represents 50 books in a library shelf, then the symbol represents 25 books.
Answer:

If a picture of 1 book represents 50 books in a library then picture of 1/2 book will represent 25 books in a library.
Question 14.

A _______ is a collection of numbers gathered to give some meaningful information.
Answer:

A data is a collection of numbers gathered to give some meaningful information.
Question 15.

The data can be arranged in a tabular form using _______ marks.
Answer:

The data can be arranged in a tabular form using tally marks.
Question 16.

A _______ represents data through pictures of objects.
Answer:

A pictograph represents data through pictures of objects.
Question 17.

In a bar graph, ________ can be drawn horizontally or vertically.
Answer:

In a bar graph bars can be drawn horizontally or vertically.
Question 18.

In a bar graph, bars of ________ width can be drawn horizontally or vertically with ________ spacing between them.
Answer:

In a bar graph, bars of uniform width can be drawn horizontally or vertically with equal spacing between them.
Question 19.

An observation occurring seven times in a data is represented as________ using tally marks.
Answer:

An observation occurring seven times in a data is represented as using tally marks:


||
Question 20.

In a pictograph, if a symbol represents 20 flowers in a basket then stands for ________ flowers.
Answer:

In a pictograph if a symbol represents 20 flowers, then 3 symbols will represent (20 + 20 + 20) flowers i.e. 60 flowers.
Question 21.

On the scale of 1 unit length = 10 crore, the bar of length 6 units will represent ________ crore and of ______ units will represent 75crore.
Answer:

Given 1 unit = 10 crore


So 6 units = 10X6


= 60 crore


And 75 crore = 75/10


= 7.5 units
Question 22.

In an examination, the grades achieved by 30 students of a class are given below. Arrange these grades in a table using tally marks:

B, C, C, E, A, C, B, B, D, D, D, D, B, C, C, C, A, C, B, E, A, D, C, B, E, C, B, E, C, D
Answer:

Tally marks means hash marks. They are in the form of numerals used for counting.


Like 4 is written as means four line


And 5 is written as four lines with cross line.


Now after counting, no of students getting A grade is 3


No of students getting B grade is 7


No of students getting C grade is 10


No of students getting D grade is 6


No of students getting E grade is 4


Now arranging the above data in table using tally marks



Total no of students =30
Question 23.

The number of two wheelers owned individually by each of 50 families is listed below. Make a table using tally marks.

1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 3, 1, 2, 1, 1, 2, 1, 2, 3, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 4, 1, 3, 1, 1, 2, 1, 1, 1, 1, 2, 3, 2, 1, 1

Find the number of families having two or more, two wheelers.
Answer:

Tally marks means hash marks. They are in the form of numerals used for counting.


Like 4 is written as means four line


And 5 is written as four lines with cross line.


Now after counting numbers of families having 0 number of two wheelers =3


numbers of families having 1 number of two wheelers =28


numbers of families having 2 number of two wheelers =14


numbers of families having 3 number of two wheelers =4


numbers of families having 4 number of two wheelers =1


Now arranging the above data in table using tally marks :-



Total no of families = 50


From the table no of families having two or more no of wheelers = 14+4+1=19
Question 24.

The lengths in centimetres (to the nearest centimetre) of 30 carrots are given as follows:

15, 22, 21, 20, 22,15, 15, 20, 20,15, 20, 18,20, 22, 21,20, 21, 18, 21, 18, 20, 18, 21, 18, 22, 20,

15, 21, 18, 20

Arrange the data given above in a table using tally marks and answer the following questions.

A. What is the number of carrots which have length more than 20 cm?

B. Which length of the carrots occur maximum number of times? Minimum number of times?
Answer:

Tally marks means hash marks they are in the form of numerals used for counting.


Like 4 is written as means four line


And 5 is written as four lines with cross line.


Now after counting numbers of carrots having length 15cm =5


Numbers of carrots having length 18cm =6


Numbers of carrots having length 20cm =9


Numbers of carrots having length 21cm =6


Numbers of carrots having length 22cm =4


now arranging above in the form of table of tally marks



a) Numbers of carrots having length more than 20cm =6+4 =10cm


b) From the table, maximum number of carrots =9 which occurs at length 20cm and min no carrots =4 which occurs at length 22cm


Hence length of carrots occurring maximum number of time =20cm


And length of carrots occurring minimum number of time =22cm
Question 25.

Thirty students were interviewed to find out what they want to be in future. Their responses are listed as below:

doctor, engineer, doctor, pilot, officer, doctor, engineer, doctor, pilot, officer, pilot, engineer, officer, pilot, doctor, engineer, pilot, officer, doctor, officer, doctor, pilot, engineer, doctor, pilot, officer, doctor, pilot, doctor, engineer

Arrange the data in a table using tally marks.
Answer:

Tally marks means hash marks. They are in the form of numerals used for counting.


Like 4 is written as means four line


And 5 is written as four lines with cross line.


Now after counting numbers of students having future profession as Doctor =10


Numbers of students having future profession as Engineer =6


Numbers of students having future profession as officer =6


Numbers of students having future profession as pilot =8


Arranging them in the form of table using tally marks
Question 26.

Following are the choices of games of 40 students of Class VI:

football, cricket, football, kho-kho, hockey, cricket, hockey, kho-kho, tennis, tennis, cricket, football, football, hockey, kho-kho, football, cricket, tennis, football, hockey, kho-kho, football, cricket, cricket, football, hockey, kho-kho, tennis, football, hockey, cricket, football, hockey, cricket, football, kho-kho, football, cricket, hockey, football.

a) Arrange the choices of games in a table using tally marks.

b) Which game is liked by most of the students?

c) Which game is liked by minimum number of students?
Answer:

Tally marks means hash marks. They are in the form of numerals used for counting.


Like 4 is written as means four line


And 5 is written as four lines with cross line.


a). Arranging the given data in a table using tally marks, as shown below



b). from the table, we can observe that football is liked by most of the students.


c). from the table, we can observe that tennis is liked by minimum no of students.
Question 27.

Fill in the blanks in the following table which represents shirt size of 40 students of a school.
Answer:

ii) shows four vertical lines and one cross line


means 4+1=5


iii) we know that 8=5+3 it can represented as


iv) means 5+2=7


v) we know that 10=5+5 here 5 is represented by


so 10 is represented by


vi) we know that 7=5+2


here can be represented as



Question 28.

Following pictograph represents some surnames of people listed in the telephone directory of a city



Observe the pictograph and answer the following questions:

(a) How many people have surname ‘Roy’?

(b) Which surname appears the maximum number of times in the telephone directory?

(c) Which surname appears the least number of times in the directory?

(d) Which two surnames appear an equal number of times?
Answer:

Given =100 people


a) No of people having surname Roy=


=


b) From the pictograph, as 5 hand appears in Patel hence most of the people have surname Patel


c) From the pictograph, we can observe that surname Saikia appears the least number


d) Rao and Roy surname appears an equal number of time as number of hands are same.
Question 29.

Students of Class VI in a school were given a task to count the number of articles made of different materials in the school. The information collected by them is represented as follows:



Observe the pictograph and answer the following questions:

(a) Which material is used in maximum number of articles?

(b) Which material is used in minimum number of articles?

(c) Which material is used in exactly half the number of articles as those made up of metal?

(d) What is the total number of articles counted by the students?
Answer:

Given that 4 small box = 20


1small box =5



a) From above metal (50 articles) is used in the maximum numbers of articles


b) Glass(20 articles) and wood(20 articles) is used in the minimum number of articles


c) From the above pictograph, we observe that 50 articles were made of metal whereas 25 articles were made of rubber, which is exactly half the number of articles as those made up of metal.


d) Total number articles =articles made of(wood + glass + metal + rubber + plastic)


= 20 + 20 + 50 + 25 + 35 = 150.
Question 30.

The number of scouts in a school is depicted by the following pictograph:



Observe the pictograph and answer the following questions:

(a) Which class has the minimum number of scouts?

(b) Which class has the maximum number of scouts?

(c) How many scouts are there in Class VI?

(d) Which class has exactly four times the scouts as that of Class X?

(e) What is the total number of scouts in the Classes VI to X?
Answer:

One face =10 scout


Hence from pictograph we can have number of scout in each class as given below:



a) Class X has minimum numbers of scouts i.e 10.


b) Class VIII has maximum numbers of scout i.e 60


c) Number of scouts in class VI=40


d) Number of scouts in class X =10 Number of scouts in class VI =40 (10 x 4=40)


Hence class VI has exactly four times the scouts as that of class X


e) Total number of scouts in classes VI to X = 40 + 20 + 60 + 30 + 10 = 160.
Question 31.

A survey was carried out in a certain school to find out the popular school subjects among students of Classes VI to VIII. The data in this regard is displayed as pictograph given below:



A. Which subject is most popular among the students?

B. How many students like Mathematics?

C. Find the number of students who like subjects other than Mathematics and Science.
Answer:

(A) Hindi


Subject hindi has the most number of students. It has 4 books and each book represents 50 students. Therefore, 4 books will be 200 students in total which is the maximum among all subjects. So, hindi is the most popular subject among the students.


(B) 175


Mathematics has 3 and a half books and each book represents 50 students. Therefore , 50 3.5 = 175 students in total like mathematics.


(C) 425


Subjects other than maths and science are hindi, english and social studies.


Hindi has 4 books ,each representing 50 students .So, number of students who like hindi = 4 50 = 200.


English has 3 books ,each representing 50 students .So, number of students who like english = 3 50 = 150.


Social Studies has 1.5 books ,each representing 50 students .So, number of students who like social studies = 1.5 50 = 75. Therefore, total number of students who like subjects other than maths and science = 200+150+75 = 425
Question 32.

The following pictograph depicts the information about the areas in sqkm (to nearest hundred) of some districts of Chhattisgarh State:



A. What is the area of Koria district?

B. Which two districts have the same area?

C. How many districts have area more than 5000 square kilometres?
Answer:

(A) 6000 sqkm


Koria district has 6 spheres each representing 1000 sqkm of area. Therefore total area represented by Koria district = 6 1000 = 6000 sqkm.


(B) Raigarh and Jashpur


Both Raigarh and Jashpur have 6.5 spheres representing area of 6500 sqkm each.


(C) 4


Raigarh, Rajnandgaon, Koria and Jashpur all districts have more than 5 spheres representing areas more than 5000 sqkm.
Question 33.

The number of bottles of cold drinks sold by a shopkeeper on six consecutive days is as follows:



Prepare a pictograph of the data using one symbol to represent 50 bottles.
Answer:


Let 50 bottles of cold drinks be represented by .


Number of bottles sold on Sunday are 350 which can be represented by 7 complete symbols.


Number of bottles sold on Monday are 200 which can be represented by 4 complete symbols.


Number of bottles sold on Tuesday are 300 which can be represented by 6 complete symbols.


Number of bottles sold on Wednesday are 250 which can be represented by 5 complete symbols.


Number of bottles sold on Thursday are 100 which can be represented by 2 complete symbols.


Number of bottles sold on Friday are 150 which can be represented by 3 complete symbols.
Question 34.

The following table gives information about the circulation of newspapers (dailies) in a town in five languages.



Prepare a pictograph of the above data, using a symbol of your choice, each representing 1000 newspapers.
Answer:


Let 500 newspapers be represented by and 1000 newspapers be represented by .


Number of English newspapers is 5000 which can be represented by 5 filled rectangles.


Number of Hindi newspapers is 8500 which can be represented by 8 filled rectangles and 1 unfilled.


Number of Tamil newspapers is 500 which can be represented by 1 unfilled rectangle.


Number of Punjabi newspapers is 2500 which can be represented by 2 filled rectangles and 1 unfilled rectangle.


Number of Gujarati newspapers is 1000 which can be represented by 1 filled rectangle.
Question 35.

Annual expenditure of a company in the year 2007-2008 is given below:



Prepare a pictograph of the above data using an appropriate symbol to represent Rs 10 lakh.
Answer:


Let each decagon represents 10 lakhs and each pentagon represents 5 lakhs.


For salaries of employee, 65 lakhs can be represented by 6 decagons and 1 pentagon.


For purchase of machinery, 85 lakhs can be represented by 8 decagons and 1 pentagon.


For advertisement, 10 lakhs can be represented by 1 decagon.


For electricity and water, 15 lakhs can be represented by 1 decagon and 1 pentagon.


For transportation, 25 lakhs can be represented by 2 decagons and 1 pentagon.


For other expenses, 30 lakhs can be represented by 3 decagons.
Question 36.

The following bar graph shows the number of houses (out of 100) in a town using different types of fuels for cooking.

Read the bar graph and answer the following questions:

Scale: 1 unit length = 5 houses



A. Which fuel is used in maximum number of houses?

B. How many houses are using coal as fuel?

C. Suppose that the total number of houses in the town is 1 lakh.

From the above graph estimate the number of houses using electricity.
Answer:

(A) LPG


From the above bar graph, it is observed that the LPG bar is the highest among other fuels with 35 houses using it out of 100 and thus it is used in maximum number of houses.


(B) 10


From the above bar graph, it can be observed that 10 houses use coal as fuel.


(C) 5000


From the above graph , it can be observed that the number of houses using electricity are 5 out of 100 houses.


Now, if the number of houses = 100000


Number of houses using electricity out of 100 = 5


Number of houses using electricity =


Number of houses using electricity out of 100000 =


= 5000


Therefore, 5000 houses uses electricity out of 100000.
Question 37.

The following bar graph represents the data for different sizes of shoes worn by the students in a school. Read the graph and answer the following questions.

Scale: 1 unit length = 50 students



A. Find the number of students whose shoe sizes have been collected.

B. What is the number of students wearing shoe size 6?

C. What are the different sizes of the shoes worn by the students?

D. Which shoe size is worn by the maximum number of students?

E. Which shoe size is worn by minimum number of students?

F. State whether true or false:

The total number of students wearing shoe sizes 5 and 8 is the same as the number of students wearing shoe size 6.
Answer:

(A) 1300


Total number of students whose shoe sizes have been collected = sum of the number of students wearing different sizes of shoes


From the above graph, it can be observed that the number of students wearing shoes of size 4 = 250


From the above graph, it can be observed that the number of students wearing shoes of size 5 = 200


From the above graph, it can be observed that the number of students wearing shoes of size 6 = 300


From the above graph, it can be observed that the number of students wearing shoes of size 7 = 400


From the above graph, it can be observed that the number of students wearing shoes of size 8 = 150


Therefore, total number of students whose shoe sizes have been collected = 250+200+300+400+150 = 1300


(B) 300


From the above graph, it can be observed that the number of students wearing shoe size 6 is 300.


(C) Sizes are 4, 5, 6, 7 and 8.


From the graph, it can be observed that the different sizes of shoes worn by the students are 4, 5, 6, 7 and 8.


(D) Shoe size 7


From the graph, it can be observed that 400 students wear the shoes of size 7 which is the most among other shoe sizes.


(E) Shoe size 8


From the graph, it can be observed that 150 students wear the shoes of size 8 which is the least among other shoe sizes.


(F) False


From the graph, it can be observed that the total number of students wearing shoe sizes 5 and 8 = 200+150 = 350.


Also, the total number of students wearing shoes of size 6 is 300 which is not equal to the number of students wearing shoe sizes 5 and 8.
Question 38.

The following graph gives the information about the number of railway tickets sold for different cities on a railway ticket counter between 6.00 am to 10.00 am. Read the bar graph and answer the following questions.

Scale : 1 unit length = 10 tickets



A. How many tickets were sold in all?

B. For which city were the maximum number of tickets sold?

C. For which city were the minimum number of tickets sold?

D. Name the cities for which the number of tickets sold is more than 20.

E. Fill in the blanks:

Number of tickets sold for Delhi and Jaipur together exceeds the total number of tickets sold for Patna and Chennai by _______.
Answer:

(A) 290


Total number of tickets sold = sum of number of tickets sold for Patna , Jaipur, Delhi, Chennai and Guwahati.


Total number of tickets sold = 80+50+100+20+40 = 290


(B) Delhi


From the above graph, it can be observed that the number of tickets sold for Delhi was 100 which is the most number among the other cities.


(C) Chennai


From the above graph, it can be observed that the number of tickets sold for Chennai was 20 which is the least number among the other cities.


(D) Patna, Jaipur, Delhi and Guwahati


From the graph, it can be observed that the only city with total number of tickets sold 20 is Chandigarh. The rest of the cities have more number of tickets sold.


(E) 50


Total number of tickets sold for Delhi and Jaipur together = 150


Total number of tickets sold for Patna and Chennai together = 100


Difference = 150 – 100 = 50
Question 39.

The bar graph given below represents approximate length (in kilometres) of some National Highways in India. Study the bar

graph and answer the following questions:

Scale: 1 unit length = 200km



A. Which National Highway (N.H.) is the longest among the above?

B. Which National Highway is the shortest among the above?

C. What is the length of National Highway 9?

D. Length of which National Highway is about three times the National Highway10?
Answer:

(A) N.H. 2


N.H.2 is 1500 km long which is the longest among all the other national highways.


(B) N.H.10


N.H.10 is 500 km long which is the shortest among all the other national highways.


(C) 900 km


From the graph , it can be observed that the length of the N.H.9 is 900 km.


(D) Length of N.H.2


From the graph , it is observed that length of NH2 = 1500 km


Length of NH3 = 1200 km


length of NH8 = 1400 km


length of NH9 = 900 km


length of NH10 = 500 km


So, length of NH10 = 1500 km = 3 500 km = 3 length of NH2.
Question 40.

The bar graph given below represents the circulation of newspapers in different languages in a town. Study the bar graph and answer the following questions:

Scale: 1 unit length = 200 Newspapers



A. What is the circulation of English newspaper?

B. Name the two languages in which circulation of newspaper is the same.

C. By how much is the circulation of newspaper in Hindi more than the newspaper in Bengali?
Answer:

(A) 1000


From the graph, it can be observed that the circulation of English newspaper is about 1000.


(B) Bengali and Marathi


From the graph, it can be observed that the circulation of Bengali and Marathi newspaper both are 600.


So, their circulation is same.


(C) 800


From the graph, it can be observed that the circulation of Hindi newspaper = 1400


Also, circulation of Bengali newspaper = 600


Difference = 1400 – 600 = 800
Question 41.

Read the bar graph given below and answer the following questions:

Scale: 1 unit = 50 students



A. What information is given by the bar graph?

B. In which year is the number of students maximum?

C. In which year is the number of students twice as that of 2001-02?

D. In which year did the number of students decrease as compared to previous year?

E. In which year is the increase in number of students maximum as compared to the previous year?
Answer:

(A) The bar graph gives the information about the number of students in each academic year starting from 2001 to 2006.


(B) 2005-06


From the graph, it can be observed that the number of students in the year 2005-06 is 350 which is the most number among all the years.


(C) From the graph, it can be observed that the number of students in the year 2001-02 = 150


the number of students in the year 2002-03 = 200


the number of students in the year 2003-04 = 150


the number of students in the year 2004-05 = 300


the number of students in the year 2005-06 = 350


Therefore, the no. of students in year 2004-05 = 300 = 2 150


= 2 no. of students in year 2001-02


(D) 2003-04


From the graph, it can be observed that in year 2003-04 the number of students decreased to 150 from the 200 of the previous year 2002-03


(E) 2004-05


In the year, 2004-05 the number of students increased to 300 from 150 of the previous year 2003-04 . The increase in the number is 150 which is the maximum.
Question 42.

The lengths in km (rounded to nearest hundred) of some major rivers of India is given below:



Draw a bar graph to represent the above information.
Answer:



Question 43.

The number of ATMs of different banks in a city is shown below:



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



Question 44.

Number of mobile phone users in various age groups in a city is listed below:



Draw a bar graph to represent the above information.
Answer:



Question 45.

The following table gives the number of vehicles passing through a toll gate, every hour from 8.00 am. to 1.00 pm:



Draw a bar graph representing the above data.
Answer:



Question 46.

The following table represents income of a Gram Panchay at from different sources in a particular year:



Draw a bar graph to represent the above information.
Answer:



Question 47.

The following table gives the data of number of schools (stage-wise) of a country in the year 2002.



Draw a bar graph to represent the above data:
Answer:



Question 48.

Home appliances sold by a shop in one month are given as below:



Draw a bar graph to represent the above information.
Answer:



Question 49.

In a botanical garden, the number of different types of plants are found as follows:



Draw a bar graph to represent the above information and answer the following questions:

A. Which type of plant is maximum in number in the garden?

B. Which type of plant is minimum in number in the garden?
Answer:


A) Since the Bar Graph of trees is longest that implies that in the garden maximum number of plants are Tree.


B) Creeper has smallest bar graph which means that creeper are minimum in number in the garden.
Question 50.

Prepare a bar graph of the data given in question 28.
Answer:



Question 51.

Refer to question 39. Prepare a pictograph of the data by taking a suitable symbol to represent 200 kilometers.
Answer:



Question 52.

Prepare a pictograph of the information given in question 38.
Answer:



Question 53.

Refer to question 23. Prepare a bar graph of the data.
Answer:



Question 54.

The following table shows the area of the land on which different crops were grown.



Prepare a pictograph by choosing a suitable symbol to represent 10 million hectares.
Answer:



Question 55.

Refer to question 54. Prepare a bar graph of the data.
Answer: