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Page No 109:

Question O1:

Name a few types of graphs.

Answer:

Types of graphs are:

(i) Pictograph

(ii) Line graph

(iii) Bar graph

(iv) Sector graph or pie graph

Page No 109:

Question O2:

What is the name given to the graph representing numerical data with figures?

Answer:

A graph representing numerical data with figures is called pictograph.



Page No 110:

Question W1:

The number of cars manufactured by a company from 1980 to 1983 is as follows. Draw a pictorial graph

Year

 

No. of cars

 

1980

 

30,000

 

1981

 

20,000

 

1982

 

40,000

 

1983

 

50,000

 

Answer:

Steps:

(1) Write the years in the first column.

(2) Draw cars in the second column.

(3) As it is difficult to draw as many cars as mentioned, choose a scale.

Years

 

Number of cars manufactured

 

1980

 

 

1981

 

 

1982

 

 

1983

 

 

Picture of 1 car = 5000 cars

Page No 110:

Question W2:

The number of people possessing bicycles in a town from 1995 to 1998 is as follows. Draw a pictorial graph.

Year

 

No. of cycles

 

1995

 

10,000

 

1996

 

8,000

 

1997

 

7,000

 

1998

 

5,000

 

Answer:

Steps:

(1) Write the years in the first column.

(2) Draw bicycles in the second column.

(3) As it is difficult to draw as many bicycles as mentioned, choose a scale.

Years

 

Number of bicycles

 

1995

 

 

1996

 

 

1997

 

 

1998

 

 

Picture of 1 bicycle = 1000 bicycles

Page No 110:

Question W3:

Percentage of pass in SSLC Examination of a school is given. Draw a line graph.

Year

 

Percentage of pass

 

1999

 

30

 

2000

 

40

 

2001

 

70

 

2002

 

50

 

Answer:

Steps:

(1) Choose a suitable scale.

(2) Draw the X and Y axis.

(3) Mark the years on the X-axis according to the scale.

(4) Mark the percentage of passes on the Y-axis according to the scale.

(5) Represent the result during each year by points.

(6) Join these points by straight lines.

Following is the required line graph:

Page No 110:

Question W4:

Draw a line graph for the given data

Year

 

Population (millions)

 

1961

 

440

 

1971

 

550

 

1981

 

690

 

1991

 

840

 

Answer:

Steps:

(1) Choose a suitable scale.

(2) Draw the X and Y axis.

(3) Mark the years on the X-axis according to the scale.

(4) Mark the population on the Y-axis according to the scale.

(5) Represent the population during each year by points.

(6) Join these points by straight lines.

Following is the required line graph:



Page No 112:

Question 1:

Draw a bar graph for the given data

Animal

 

Life span (years)

 

Man

 

100

 

Elephant

 

60

 

Cow

 

20

 

Goat

 

10

 

Answer:

Steps:

(1) Draw X and Y axis.

(2) Choose a suitable scale for the span of life.

(3) Write the names of the animals on the X-axis.

(4) Mark the years on the y-axis.

(5) Draw rectangles of equal width on the X-axis. The gaps between them should be equal and heights proportional to the span of life.

Following is the required bar graph:

Page No 112:

Question 2:

Draw a bar graph for the data given

Periodicals

 

No. of copies sold in a town

 

(a)

 

Sudha

 

500

 

(b)

 

Taranga

 

400

 

(c)

 

Karma Veera

 

200

 

(d)

 

Weekly Magazine

 

300

 

Answer:

Following is the required bar graph:

Page No 112:

Question 3:

Represent the data given, hobbies of girls in a class in a bar graph.

Hobby

 

No. of girls

 

Music

 

25

 

Games

 

40

 

Art

 

15

 

Watching T.V

 

20

 

Answer:

Following is the required bar graph:

Page No 112:

Question 4:

Represent the data given in a bar graph.

Continent

 

Area (million sq. m)

 

Africa

 

26

 

Asia

 

30

 

Europe

 

5

 

North America

 

24

 

Answer:

Following is the required bar graph:



Page No 113:

Question 5:

Percentage of population living in urban areas of a few states in South India is given. Draw a bar graph.

States

 

Percentage of population in urban areas

 

Karnataka

 

25

 

Andhra Pradesh

 

23

 

Tamil Nadu

 

33

 

Kerala

 

19

 

Answer:

Following is the required bar graph:



Page No 115:

Question O1:

What is the name of graph, representing statistical data through sectors of a circle?

Answer:

The graph representing statistical data through sectors of a circle is a pie graph.

Page No 115:

Question W1:

Represent the given data in a pie chart.

Animals

 

Life Span (years)

 

Man

 

100

 

Elephant

 

60

 

Buffalo

 

20

 

Answer:

Total life span = 180 years

Angle at the center of the circle = 360°

Ratio between the angle at the center and total life span

= 360°: 180

= 2°

Angle of each sector

Animals

 

Life span

 

Angle of the sector

 

Man

 

100

 

100 × 2° = 200°

 

Elephant

 

60

 

60 × 2° = 120°

 

Buffalo

 

20

 

20 × 2° = 40°

 

Total

 

180

 

360°

 

Following is the required pie chart:

Page No 115:

Question O2:

What is the measure of the angle at the centre of a circle?

Answer:

The measure of the angle at the centre of a circle is .

Page No 115:

Question W2:

Shobha spends her day as follows. Represent the data on a pie-chart.

Activity

 

Time spent (hours)

 

School

 

6

 

Recreation

 

2

 

Home work

 

5

 

Sleep

 

7

 

Other activities

 

4

 

Answer:

Total time spent = 24 hours

Angle at the center of the circle = 360°

Ratio between the angle at the center and total time

= 360°: 24

= 15°

Angle of each sector

Activity

 

Time spent (in hours)

 

Angle of the sector

 

School

 

6

 

6 × 15° = 90°

 

Recreation

 

2

 

2 × 15° = 30°

 

Home work

 

5

 

5 × 15° = 75°

 

Sleep

 

7

 

7 × 15° = 105°

 

Other activities

 

4

 

4 × 15° = 60°

 

Total

 

24

 

360°

 

Following is the required pie chart:

Page No 115:

Question W3:

The funds allotted by the government for various development activities are given. Draw a pie-chart for the same.

Development Activity

 

Funds allotted (in crores)

 

Agriculture

 

560

 

Irrigation

 

450

 

Industries

 

890

 

Electricity

 

440

 

Transport

 

1,260

 

Answer:

Total fund = 3600 crores

Angle at the center of the circle = 360°

Ratio between the angle at the center and total funds

= 360°: 3600

=

Angle of each sector

Activity

 

Funds allotted (in crores)

 

Angle of the sector

 

Agriculture

 

560

 

560 × = 56°

 

Irrigation

 

450

 

450 × = 45°

 

Industries

 

890

 

890× = 89°

 

Electricity

 

440

 

440 × = 44°

 

Transport

 

1260

 

1260 × = 126°

 

Total

 

3600

 

360°

 

Following is the required pie chart:



Page No 116:

Question W4:

The monthly expenditure of a small family is as follows. Draw a sector graph to represent the data

Items of expenditure

 

Amount spent (Rs)

 

(a)

 

Food and fuel

 

1,250

 

(b)

 

Clothing

 

400

 

(c)

 

Rent

 

800

 

(d)

 

Education

 

550

 

(e)

 

Savings

 

600

 

Answer:

Total expenditure = Rs.3600

Angle at the center of the circle = 360°

Ratio between the angle at the center and total time

= 360°: 3600

=

Angle of each sector

Activity

 

Amount Spent (In Rs.)

 

Angle of the sector

 

Food and fuel

 

1250

 

1250 × = 125°

 

Clothing

 

400

 

400 × = 40°

 

Rent

 

800

 

800 × = 80°

 

Education

 

550

 

550 × = 55°

 

Savings

 

600

 

600 × = 60°

 

Total

 

3600

 

360°

 

Following is the required pie chart:

Page No 116:

Question W5:

The News paper circulated in a town are as follows. Draw a pie chart.

News paper

 

No. of copies circulated

 

(a)

 

Prajavani

 

300

 

(b)

 

Kannada Prabha

 

180

 

(c)

 

Vijaya Karnataka

 

400

 

(d)

 

Samyukta Karnataka

 

320

 

Answer:

Total copies = Rs.1200

Angle at the center of the circle = 360°

Ratio between the angle at the center and total time

= 360°: 1200

=

Angle of each sector

Activity

 

No. of copies circulated

 

Angle of the sector

 

Prajavani

 

300

 

300 × = 90°

 

Kannada prabha

 

180

 

180 × = 54°

 

Vijaya Karnataka

 

400

 

400 × = 120°

 

Samyukta Karnataka

 

320

 

320 × = 96°

 

Total

 

1200

 

360°

 

Following is the required pie chart:



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