Draw a bar graph for the following data. Population of India in successive census years- Year 1941 1951 1961 1971 1981 1991 2001 Population (in millions)(approx) 320 360 440 550 680 850 1000 Source: Data from census of India 1991 and 2001 .

The bar graphs are made up of bars of uniform width which can be drawn horizontally or vertically with equal spacing between them. Steps of drawing a bar graph: Mark X —axis and Y —axis on the graph. Let the year 1941 to 2001 on the X —axis and population count on Y —axis. Take proper scale on the y —axis. Here, 1 unit = 200 million . Find the length of each column by dividing by 200 to the number. Plot the graph. The length of each bar tells us the frequency of the particular item. The length of bar graph is as per scale.

Draw a pie chart for the following data. Item of expenditure Food Health Clothing Education Savings Amount spent in rupees 3750 1875 1875 1200 7500

We can find the ratio between Item of expenditure to the total expenditure. For food, ratio between Item of expenditure to the total expenditure is 3750 3750 + 1875 + 1875 + 1200 + 7500 = 3750 16200 = 25 108 For health, ratio between Item of expenditure to the total expenditure is 1875 3750 + 1875 + 1875 + 1200 + 7500 = 1875 16200 = 25 216 For clothing, ratio between Item of expenditure to the total expenditure is 1875 3750 + 1875 + 1875 + 1200 + 7500 = 1875 16200 = 25 216 For education, ratio between Item of expenditure to the total expenditure is 1200 3750 + 1875 + 1875 + 1200 + 7500 = 1200 16200 = 2 27 For savings, ratio between Item of expenditure to the total expenditure is 7500 3750 + 1875 + 1875 + 1200 + 7500 = 7500 16200 = 25 54 So, tabulating the data, Item of expenditure Amount spent in rupees Ratio between Item of expenditure to the total expenditure Angle of sector Food 3750 25 108 25 108 × 360 ° = 83 . 3 ° Health 1875 25 216 25 216 × 360 ° = 41 . 6 ° Clothing 1875 25 216 25 216 × 360 ° = 41 . 6 ° Education 1200 2 27 2 27 × 360 ° = 26 . 6 ° Savings 7500 25 54 25 54 × 360 ° = 166 . 6 ° Let us draw the pie chart according to the angles obtained.

Draw a double bar graph for the following data. Birth and Death rates of different states in 1999 . State Birth Rate(Per 1000 ) Death Rate(Per 1000 ) Andhra Pradesh 22 8 Karnataka 22 8 Tamil Nadu 19 8 Kerala 18 6 Maharastra 21 8 Orissa 24 11

We know that, A double bar graph is used to display two sets of data on the same graph Steps of drawing a double bar graph. The information in the double bar graph is related, and it compares one set of data to another. Steps for drawing double bar graph: Mark x -axis and y -axis on the graph. Write down the names of the states on the x -axis. Birth rate/Death rate is taken at y -axis. Take proper scale on the y -axis, take 1 unit = 5 . Find the length of each column by dividing by 5 to the number. Plot the graph. Hence, the obtained double bar graph represents the birth/death rate in different states in the year 1999 . Here, the bars in green colour represents birth rate and the bars with orange colour represents death rate.

Draw a pie chart for the following data. Time spent by a child during a day- Time spent for Sleep School Play Others Time spent 8 hrs 6 hrs 2 hrs 8 hrs

A pie chart makes use of sectors in a circle. The angle of sector is proportional to the frequency of the data. Formula to find the angle of sector in a pie chart is: Angle of sector = Frequency of data Total frequency × 360 ° We can tabulate the given data for finding the angles of the sectors. Time spent for Time spent Ratio between Time spent on each activity to the total time spent Angle of sector Sleep 8 hrs 8 24 = 1 3 1 3 × 360 ° = 120 ° School 6 hrs 6 24 = 1 4 1 4 × 360 ° = 90 ° Play 2 hrs 2 24 = 1 12 1 12 × 360 ° = 30 ° Others 8 hrs 8 24 = 1 3 1 3 × 360 ° = 120 ° Let us draw the pie chart according to the angles obtained.

Telangana Board Solutions for Chapter: Data Handling, Exercise 8: Exercise - 4

Author:Telangana Board

Telangana Board Mathematics Solutions for Exercise - Telangana Board Solutions for Chapter: Data Handling, Exercise 8: Exercise - 4

Attempt the practice questions on Chapter 7: Data Handling, Exercise 8: Exercise - 4 with hints and solutions to strengthen your understanding. Mathematics Class 7 solutions are prepared by Experienced Embibe Experts.

Questions from Telangana Board Solutions for Chapter: Data Handling, Exercise 8: Exercise - 4 with Hints & Solutions

HARD

7th Telangana Board

IMPORTANT

Mathematics Class 7>Chapter 7 - Data Handling>Exercise - 4>Q 1

Draw a bar graph for the following data.

Population of India in successive census years-

Year	$1941$	$1951$	$1961$	$1971$	$1981$	$1991$	$2001$
Population (in millions)(approx)	$320$	$360$	$440$	$550$	$680$	$850$	$1000$

Source: Data from census of India $1991$ and $2001$ .

HARD

7th Telangana Board

IMPORTANT

Mathematics Class 7>Chapter 7 - Data Handling>Exercise - 4>Q 2

Draw a pie chart for the following data.

Item of expenditure	Food	Health	Clothing	Education	Savings
Amount spent in rupees	$3750$	$1875$	$1875$	$1200$	$7500$

HARD

7th Telangana Board

IMPORTANT

Mathematics Class 7>Chapter 7 - Data Handling>Exercise - 4>Q 3

Draw a double bar graph for the following data.
Birth and Death rates of different states in $1999$ .

State	Birth Rate(Per $1000$ )	Death Rate(Per $1000$ )
Andhra Pradesh	$22$	$8$
Karnataka	$22$	$8$
Tamil Nadu	$19$	$8$
Kerala	$18$	$6$
Maharastra	$21$	$8$
Orissa	$24$	$11$

HARD

7th Telangana Board

IMPORTANT

Mathematics Class 7>Chapter 7 - Data Handling>Exercise - 4>Q 4

Draw a pie chart for the following data.

Time spent by a child during a day-

Time spent for	Sleep	School	Play	Others
Time spent	$8 hrs$	$6 hrs$	$2 hrs$	$8 hrs$

EASY

7th Telangana Board

IMPORTANT

Mathematics Class 7>Chapter 7 - Data Handling>Exercise - 4>Q 5

The adjoining pie chart gives the expenditure on various items during a month for the family.
(The numbers written around the pie chart tell us the angles made by each sector at the centre.)

Question Image

On which item is the expenditure minimum?

EASY

7th Telangana Board

IMPORTANT

Mathematics Class 7>Chapter 7 - Data Handling>Exercise - 4>Q 5

The adjoining pie chart gives the expenditure on various items during a month for the family.
(The numbers written around the pie chart tell us the angles made by each sector at the centre.)

Question Image

On which item is the expenditure maximum?

EASY

7th Telangana Board

IMPORTANT

Mathematics Class 7>Chapter 7 - Data Handling>Exercise - 4>Q 5

The adjoining pie chart gives the expenditure on various items during a month for the family.
(The numbers written around the pie chart tell us the angles made by each sector at the centre.)

Question Image

The monthly income of the family is $₹ 9000$ . If the expenditure on rent is $₹ k$ , find the value of $k$ .

EASY

7th Telangana Board

IMPORTANT

Mathematics Class 7>Chapter 7 - Data Handling>Exercise - 4>Q 5

The adjoining pie chart gives the expenditure on various items during a month for the family. (The numbers written around the pie chart tell us the angles made by each sector at the centre.)

Question Image

The expenditure on food is $₹ 3000$ . If the expenditure on education of children is $₹ k$ , then find the value of $k$ .

Telangana Board Solutions for Chapter: Data Handling, Exercise 8: Exercise - 4

Telangana Board Mathematics Solutions for Exercise - Telangana Board Solutions for Chapter: Data Handling, Exercise 8: Exercise - 4

Questions from Telangana Board Solutions for Chapter: Data Handling, Exercise 8: Exercise - 4 with Hints & Solutions

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