Mathematics Semester II Solutions Solutions for Class 7 Math Chapter 8 Statistics And Graph are provided here with simple step-by-step explanations. These solutions for Statistics And Graph are extremely popular among Class 7 students for Math Statistics And Graph Solutions come handy for quickly completing your homework and preparing for exams. All questions and answers from the Mathematics Semester II Solutions Book of Class 7 Math Chapter 8 are provided here for you for free. You will also love the ad-free experience on Meritnation’s Mathematics Semester II Solutions Solutions. All Mathematics Semester II Solutions Solutions for class Class 7 Math are prepared by experts and are 100% accurate.

#### Question O1:

Name a few types of graphs.

Types of graphs are:

(i) Pictograph

(ii) Line graph

(iii) Bar graph

(iv) Sector graph or pie graph

#### Question O2:

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

A graph representing numerical data with figures is called pictograph.

#### 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

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

#### 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

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

#### 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

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:

#### Question W4:

Draw a line graph for the given data

 Year Population (millions) 1961 440 1971 550 1981 690 1991 840

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:

#### Question 1:

Draw a bar graph for the given data

 Animal Life span (years) Man 100 Elephant 60 Cow 20 Goat 10

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:

#### 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

Following is the required bar graph:

#### 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

Following is the required bar graph:

#### Question 4:

Represent the data given in a bar graph.

 Continent Area (million sq. m) Africa 26 Asia 30 Europe 5 North America 24

Following is the required bar graph:

#### 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

Following is the required bar graph:

#### Question O1:

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

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

#### Question W1:

Represent the given data in a pie chart.

 Animals Life Span (years) Man 100 Elephant 60 Buffalo 20

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:

#### Question O2:

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

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

#### 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

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:

#### 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

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:

#### 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

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:

#### 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

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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