A survey was conducted to ask the students about their favourite after-school activity and the information collected was tabulated as given below. Activity after school Watch TV Play sports Use computer Visit friends Talk on phone Number of students 120 120 175 65 170 Draw a bar graph to represent the above data and answer the following question. How many students were surveyed in all?

First, we shall draw the bar graph for the given data. Activity after school Watch TV Play sports Use computer Visit friends Talk on phone Number of students 120 120 175 65 170 Steps to draw a bar graph: (i) First, decide the title of the bar graph. (ii) Draw the horizontal axis and vertical axis. (iii) Label the horizontal axis to represent the different variables (iv) Label the vertical axis. (vi) Finalise the scale range for the given data. (vii) Finally, draw the bar graph that should represent each category of the variable with their respective numbers. Thus, the graph is drawn and shown below: The total number of students surveyed = 120 + 120 + 175 + 65 + 170 = 650 . Hence, the total number of students surveyed is 650 .

The railway distances of four cities from New Delhi (in km ) are given below. City Bhubaneswar Kolkata Guwahati Patna Distance from New Delhi (in km ) 1650 1430 1820 980 Draw a bar graph to represent the above data and answer the following questions. How much farther is Guwahati from New Delhi than Bhubaneswar?

First, we shall draw the bar graph for the given data. City Bhubaneswar Kolkata Guwahati Patna Distance from New Delhi (in km ) 1650 1430 1820 980 Steps to draw a bar graph: (i) First, decide the title of the bar graph. (ii) Draw the horizontal axis and vertical axis. (iii) Label the horizontal axis to represent the different variables (iv) Label the vertical axis. (vi) Finalise the scale range for the given data. (vii) Finally, draw the bar graph that should represent each category of the variable with their respective numbers. Thus, the graph is drawn and shown below: Now, the distance between New Delhi and Guwahati is 1820 km . The distance between New Delhi and Bhubaneswar is 1650 km . We have, 1820 km - 1650 km = 170 km . Therefore, Guwahati is 170 km farther from New Delhi than Bhubaneswar.

Given below is the data of the number of students (girls and boys) in Class V I I of a school. Class V I I A V I I B V I I C V I I D Number of girls 25 30 25 20 Number of boys 20 15 20 29 Draw a double bar graph to represent the above data and answer the following question. In which section(s) is the difference in the number of boys and girls minimum?

First, we shall draw the double bar graph for the given data. Class V I I A V I I B V I I C V I I D Number of girls 25 30 25 20 Number of boys 20 15 20 29 Steps to draw a bar graph: (i) A double bar graph is the graphical representation of grouped data. In a double-bar graph, two bars are drawn for each category. These two bars represent the two given parameters for each category. The bars are rectangular with an equal width. (ii) All the pairs of bars are at an equal distance from each other. (iii) First, decide the title of the bar graph. (iv) Draw in the two axes. One with items being counted ( x axis) and one with the scale that is going to be used to count ( y axis). (v) Decide on the best scale to use given the data. (vi) Draw in the bars to show the data. (vii) Draw one category in one colour and the other category in another colour. Thus, the graph is drawn and shown below: Now, the difference in the number of boys and girls in V I I A is 25 - 20 = 5 The difference in the number of boys and girls in V I I B is 30 - 15 = 15 The difference in the number of boys and girls in V I I C is 25 - 20 = 5 The difference in the number of boys and girls in V I I D is 29 - 20 = 9 Therefore, the difference in the number of boys and girls are the minimum in sections V I I A and V I I C .

Given below is the data of the number of students (girls and boys) in Class V I I of a school. Class V I I A V I I B V I I C V I I D Number of girls 25 30 25 20 Number of boys 20 15 20 29 Draw a double bar graph to represent the above data and answer the following question. In which section is the difference in the number of boys and girls maximum?

First, we shall draw the double bar graph for the given data. Class V I I A V I I B V I I C V I I D Number of girls 25 30 25 20 Number of boys 20 15 20 29 Steps to draw a bar graph: (i) A double bar graph is the graphical representation of grouped data. In a double-bar graph, two bars are drawn for each category. These two bars represent the two given parameters for each category. The bars are rectangular with an equal width. (ii) All the pairs of bars are at an equal distance from each other. (iii) First, decide the title of the bar graph. (iv) Draw in the two axes. One with items being counted ( x axis) and one with the scale that is going to be used to count ( y axis). (v) Decide on the best scale to use given the data. (vi) Draw in the bars to show the data. (vii) Draw one category in one colour and the other category in another colour. Thus, the graph is drawn and shown below: Now, the difference in the number of boys and girls in V I I A is 25 - 20 = 5 The difference in the number of boys and girls in V I I B is 30 - 15 = 15 The difference in the number of boys and girls in V I I C is 25 - 20 = 5 The difference in the number of boys and girls in V I I D is 29 - 20 = 9 Therefore, the difference in the number of boys and girls is the maximum in section V I I B .

Given below is the data of the number of students (girls and boys) in Class V I I of a school. Class V I I A V I I B V I I C V I I D Number of girls 25 30 25 20 Number of boys 20 15 20 29 Draw a double bar graph to represent the above data and answer the following question. What is the total number of girls in all the sections of Class V I I ?

First, we shall draw the double bar graph for the given data. Class V I I A V I I B V I I C V I I D Number of girls 25 30 25 20 Number of boys 20 15 20 29 Steps to draw a bar graph: (i) A double bar graph is the graphical representation of grouped data. In a double-bar graph, two bars are drawn for each category. These two bars represent the two given parameters for each category. The bars are rectangular with an equal width. (ii) All the pairs of bars are at an equal distance from each other. (iii) First, decide the title of the bar graph. (iv) Draw in the two axes. One with items being counted ( x axis) and one with the scale that is going to be used to count ( y axis). (v) Decide on the best scale to use given the data. (vi) Draw in the bars to show the data. (vii) Draw one category in one colour and the other category in another colour. Thus, the graph is drawn and shown below: Now, the total number of girls in all the sections of Class V I I is 25 + 30 + 25 + 20 = 100 . Therefore, the required total number of girls in all the sections of Class V I I is 100 .

Given below is the data of the number of students (girls and boys) in Class V I I of a school. Class V I I A V I I B V I I C V I I D Number of girls 25 30 25 20 Number of boys 20 15 20 29 Draw a double bar graph to represent the above data and answer the following question. What is the total number of boys in all the sections of Class V I I ?

First, we shall draw the double bar graph for the given data. Class V I I A V I I B V I I C V I I D Number of girls 25 30 25 20 Number of boys 20 15 20 29 Steps to draw a bar graph: (i) A double bar graph is the graphical representation of grouped data. In a double-bar graph, two bars are drawn for each category. These two bars represent the two given parameters for each category. The bars are rectangular with an equal width. (ii) All the pairs of bars are at an equal distance from each other. (iii) First, decide the title of the bar graph. (iv) Draw in the two axes. One with items being counted ( x axis) and one with the scale that is going to be used to count ( y axis). (v) Decide on the best scale to use given the data. (vi) Draw in the bars to show the data. (vii) Draw one category in one colour and the other category in another colour. Thus, the graph is drawn and shown below: Now, the total number of boys in all the sections of Class V I I is 20 + 15 + 20 + 29 = 84 . Therefore, the required total number of boys in all the sections of Class V I I is 84 .

Given below is the data of the number of students (girls and boys) in Class V I I of a school. Class V I I A V I I B V I I C V I I D Number of girls 25 30 25 20 Number of boys 20 15 20 29 Draw a double bar graph to represent the above data and answer the following question. Find the ratio between the number of girls in class V I I and the number of boys in Class V I I .

First, we shall draw the double bar graph for the given data. Class V I I A V I I B V I I C V I I D Number of girls 25 30 25 20 Number of boys 20 15 20 29 Steps to draw a bar graph: (i) A double bar graph is the graphical representation of grouped data. In a double-bar graph, two bars are drawn for each category. These two bars represent the two given parameters for each category. The bars are rectangular with an equal width. (ii) All the pairs of bars are at an equal distance from each other. (iii) First, decide the title of the bar graph. (iv) Draw in the two axes. One with items being counted ( x axis) and one with the scale that is going to be used to count ( y axis). (v) Decide on the best scale to use given the data. (vi) Draw in the bars to show the data. (vii) Draw one category in one colour and the other category in another colour. Thus, the graph is drawn and shown below: Now, the total number of girls in all the sections of Class V I I is 25 + 30 + 25 + 20 = 100 . The total number of boys in all the sections of Class V I I is 20 + 15 + 20 + 29 = 84 . So, the ratio between the number of girls in class V I I and the number of boys in Class V I I is 100 : 84 = 100 4 : 84 4 = 25 : 21 . Therefore, the required ratio between the number of girls and that of the boys is 25 : 21 .

Given below is the data of the number of students (girls and boys) in Class V I I of a school. Class V I I A V I I B V I I C V I I D Number of girls 25 30 25 20 Number of boys 20 15 20 29 Draw a double bar graph to represent the above data and answer the following question. What would the ratio between the number of girls and boys become if the number of boys in V I I D is reduced by 4 ?

First, we shall draw the double bar graph for the given data. Class V I I A V I I B V I I C V I I D Number of girls 25 30 25 20 Number of boys 20 15 20 29 Steps to draw a bar graph: (i) A double bar graph is the graphical representation of grouped data. In a double-bar graph, two bars are drawn for each category. These two bars represent the two given parameters for each category. The bars are rectangular with an equal width. (ii) All the pairs of bars are at an equal distance from each other. (iii) First, decide the title of the bar graph. (iv) Draw in the two axes. One with items being counted ( $x$ axis) and one with the scale that is going to be used to count ( $y$ axis). (v) Decide on the best scale to use given the data. (vi) Draw in the bars to show the data. (vii) Draw one category in one colour and the other category in another colour. Thus, the graph is drawn and shown below: Now, the total number of girls in all the sections of Class V I I is 25 + 30 + 25 + 20 = 100 . The total number of boys in all the sections of Class V I I is 20 + 15 + 20 + 29 = 84 . If the number of boys in section V I I D is reduced by 4 , then the total number of boys in all the sections of Class V I I will be 84 - 4 = 80 So, the ratio between the number of girls in class V I I and the number of boys in Class V I I is 100 : 80 = 100 20 : 80 20 = 5 : 4 . Therefore, the required ratio between the number of girls and that of the boys is 5 : 4 .

Monica Capoor Solutions for Exercise 2: Exercise 18.2

Author:Monica Capoor

Monica Capoor Mathematics Solutions for Exercise - Monica Capoor Solutions for Exercise 2: Exercise 18.2

Attempt the free practice questions from Exercise 2: Exercise 18.2 with hints and solutions to strengthen your understanding. Be a Maths Star solutions are prepared by Experienced Embibe Experts.

Questions from Monica Capoor Solutions for Exercise 2: Exercise 18.2 with Hints & Solutions

HARD

7th ICSE

IMPORTANT

Be a Maths Star>Chapter 18 - Data Handling>Exercise 18.2>Q 5

A survey was conducted to ask the students about their favourite after-school activity and the information collected was tabulated as given below.

Activity after school	Watch TV	Play sports	Use computer	Visit friends	Talk on phone
Number of students	$120$	$120$	$175$	$65$	$170$

Draw a bar graph to represent the above data and answer the following question.
How many students were surveyed in all?

HARD

7th ICSE

IMPORTANT

Be a Maths Star>Chapter 18 - Data Handling>Exercise 18.2>Q 7

The railway distances of four cities from New Delhi (in $km$ ) are given below.

City	Bhubaneswar	Kolkata	Guwahati	Patna
Distance from New Delhi (in $km$ )	$1650$	$1430$	$1820$	$980$

Draw a bar graph to represent the above data and answer the following questions.
How much farther is Guwahati from New Delhi than Bhubaneswar?

HARD

7th ICSE

IMPORTANT

Be a Maths Star>Chapter 18 - Data Handling>Exercise 18.2>Q 8

Given below is the data of the number of students (girls and boys) in Class $V I I$ of a school.

Class	$V I I A$	$V I I B$	$V I I C$	$V I I D$
Number of girls	$25$	$30$	$25$	$20$
Number of boys	$20$	$15$	$20$	$29$

Draw a double bar graph to represent the above data and answer the following question.
In which section(s) is the difference in the number of boys and girls minimum?

HARD

7th ICSE

IMPORTANT

Be a Maths Star>Chapter 18 - Data Handling>Exercise 18.2>Q 8

Given below is the data of the number of students (girls and boys) in Class $V I I$ of a school.

Class	$V I I A$	$V I I B$	$V I I C$	$V I I D$
Number of girls	$25$	$30$	$25$	$20$
Number of boys	$20$	$15$	$20$	$29$

Draw a double bar graph to represent the above data and answer the following question.

In which section is the difference in the number of boys and girls maximum?

HARD

7th ICSE

IMPORTANT

Be a Maths Star>Chapter 18 - Data Handling>Exercise 18.2>Q 8

Given below is the data of the number of students (girls and boys) in Class $V I I$ of a school.

Class	$V I I A$	$V I I B$	$V I I C$	$V I I D$
Number of girls	$25$	$30$	$25$	$20$
Number of boys	$20$	$15$	$20$	$29$

Draw a double bar graph to represent the above data and answer the following question.

What is the total number of girls in all the sections of Class $V I I$ ?

HARD

7th ICSE

IMPORTANT

Be a Maths Star>Chapter 18 - Data Handling>Exercise 18.2>Q 8

Given below is the data of the number of students (girls and boys) in Class $V I I$ of a school.

Class	$V I I A$	$V I I B$	$V I I C$	$V I I D$
Number of girls	$25$	$30$	$25$	$20$
Number of boys	$20$	$15$	$20$	$29$

Draw a double bar graph to represent the above data and answer the following question.

What is the total number of boys in all the sections of Class $V I I$ ?

HARD

7th ICSE

IMPORTANT

Be a Maths Star>Chapter 18 - Data Handling>Exercise 18.2>Q 8

Given below is the data of the number of students (girls and boys) in Class $V I I$ of a school.

Class	$V I I A$	$V I I B$	$V I I C$	$V I I D$
Number of girls	$25$	$30$	$25$	$20$
Number of boys	$20$	$15$	$20$	$29$

Draw a double bar graph to represent the above data and answer the following question.

Find the ratio between the number of girls in class $V I I$ and the number of boys in Class $V I I$ .

HARD

7th ICSE

IMPORTANT

Be a Maths Star>Chapter 18 - Data Handling>Exercise 18.2>Q 8

Given below is the data of the number of students (girls and boys) in Class $V I I$ of a school.

Class	$V I I A$	$V I I B$	$V I I C$	$V I I D$
Number of girls	$25$	$30$	$25$	$20$
Number of boys	$20$	$15$	$20$	$29$

Draw a double bar graph to represent the above data and answer the following question.

What would the ratio between the number of girls and boys become if the number of boys in $V I I D$ is reduced by $4$ ?

Monica Capoor Solutions for Exercise 2: Exercise 18.2

Monica Capoor Mathematics Solutions for Exercise - Monica Capoor Solutions for Exercise 2: Exercise 18.2

Questions from Monica Capoor Solutions for Exercise 2: Exercise 18.2 with Hints & Solutions

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