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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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