The number of literates amongst adults in a village were listed according to their age groups. Age(in years) 20 - 25 25 - 30 30 - 35 35 - 40 40 - 45 45 - 50 No. of literates 95 80 62 46 25 15 Draw a frequency polygon for the given data.

Given, The number of literates amongst adults in a village were listed according to their age groups. Age(in years) 20 - 25 25 - 30 30 - 35 35 - 40 40 - 45 45 - 50 No. of literates 95 80 62 46 25 15 We know, A frequency polygon can be drawn by plotting points with corresponding frequency against the mid-value of the class interval. Now, join these points and complete the polygon by joining the end points to x - axis. Therefore, we get: A frequency polygon with age on x - axis and Number of literals on y - axis and the middle value as follows: Age(in years) 20 - 25 25 - 30 30 - 35 35 - 40 40 - 45 45 - 50 Middle value 22 . 5 27 . 5 32 . 5 37 . 5 42 . 5 47 . 5 No. of literates 95 80 62 46 25 15

The number of casualties due to accidents were recorded in a hospital as follows: Age (in years) 5 - 15 15 - 25 25 - 35 35 - 45 45 - 55 55 - 65 65 - 75 No. of casualties 6 10 15 13 20 8 7 Draw a frequency polygon on the graph.

Given, Age (in years) 5 - 15 15 - 25 25 - 35 35 - 45 45 - 55 55 - 65 65 - 75 No. of casualties 6 10 15 13 20 8 7 We know, A frequency polygon can be drawn by plotting points with corresponding frequency against the mid-value of the class interval. Now, join these points and complete the polygon by joining the end points to x - axis. Therefore, we get: A frequency polygon with age on x - axis and Number of casualties on y - axis and the middle value as follows: Age (in years) 5 - 15 15 - 25 25 - 35 35 - 45 45 - 55 55 - 65 65 - 75 Middle value 10 20 30 40 50 60 70 No. of casualties 6 10 15 13 20 8 7

The following table gives daily wages of workers in a factory. Wages (in ₹ ) 50 - 55 55 - 60 60 - 65 65 - 70 70 - 75 75 - 80 No. of workers 5 12 20 17 8 5 Draw a frequency polygon for the above data.

Given, Wages (in ₹ ) 50 - 55 55 - 60 60 - 65 65 - 70 70 - 75 75 - 80 No. of workers 5 12 20 17 8 5 We know, A frequency polygon can be drawn by plotting points with corresponding frequency against the mid-value of the class interval. Now, join these points and complete the polygon by joining the end points to x - axis. Therefore, we get: A frequency polygon with wages on x - axis and Number of workers on y - axis and the middle value as follows: Wages (in ₹ ) 50 - 55 55 - 60 60 - 65 65 - 70 70 - 75 75 - 80 Middle value 52 . 5 57 . 5 62 . 5 67 . 5 72 . 5 77 . 5 No. of workers 5 12 20 17 8 5

The following distribution shows the height of students in a school. Height (in cm) 140 - 145 145 - 150 150 - 155 155 - 160 160 - 165 165 - 170 170 - 175 No. of students 12 16 28 24 12 8 5 Draw a frequency polygon

A frequency polygon can be drawn by plotting points with corresponding frequency against mid-value of the class interval. Now join these points and complete the polygon by joining the end points to x - axis. To plot the frequency polygon , first we will find the mid-value of each class. Mid value = u p p e r l i m i t + l o w e r l i m i t 2 Height (in cm ) No. of students Mid-value 140 - 145 12 142 . 5 145 - 150 20 147 . 5 150 - 155 30 152 . 5 155 - 160 38 157 . 5 160 - 165 24 162 . 5 165 - 170 16 167 . 5 170 - 175 12 172 . 5 175 - 180 8 177 . 5 So, the frequency polygon of the above data

A family with a monthly income of ₹ 22000 plans the following expenditure per month on different items Items Food Rent Education Medicine Fuel Entertainment Miscellaneous Savings Expenditure ( i n ₹ ) 6500 4000 2500 1000 2000 1000 4000 1000 Represent the above table by a bar graph.

A bar graph is a way of representing data using rectangular bars where the length of each bar is proportional to the value that it represents. It is a graphical representation of data using bars of different heights. Bar graph of the given data is

The following table shows the number of students playing different games in a school. Game Hockey Cricket Football Basketball Volleyball Number of students 60 95 80 40 55 Represent the above in a bar graph.

A bar chart or bar graph is a chart or graph that presents categorical data with rectangular bars with heights or lengths proportional to the values that they represent. The bars can be plotted vertically or horizontally. Bar graph of the given data is The vertical axis represents the Number of students and the horizontal axis represents the Games

Draw a frequency polygon for the following Daily wages 71 - 80 81 - 90 91 - 100 101 - 110 111 - 120 Number of workers 5 8 13 5 9

A frequency polygon is a graphical form of representation of data. It is used to depict the shape of the data and to depict trends. It is usually drawn with the help of a histogram but can be drawn without it as well. A frequency polygon can be drawn by plotting points with corresponding frequency against mid-value of the class interval. Now join these points and complete the polygon by joining the end points to x - axis. To plot the frequency polygon , first we will find the mid-value of each class. Mid value = u p p e r l i m i t + l o w e r l i m i t 2 Daily wages Number of workers Mid-value 71 - 80 5 75 . 5 81 - 90 8 85 . 5 91 - 100 13 95 . 5 101 - 110 5 105 . 5 111 - 120 9 115 . 5 So, the frequency polygon of the above data

The table given below shows the daily wages of labourers in a factory. Wages ( i n ₹ ) 300 - 399 400 - 499 500 - 599 600 - 699 700 - 799 800 - 899 Number of Labourers 20 35 50 25 15 5 Draw frequency poly to represent the above data

A frequency polygon is a graphical form of representation of data. It is used to depict the shape of the data and to depict trends. It is usually drawn with the help of a histogram but can be drawn without it as well. A frequency polygon can be drawn by plotting points with corresponding frequency against mid-value of the class interval. Now join these points and complete the polygon by joining the end points to x - axis. To plot the frequency polygon , first we will find the mid-value of each class. Mid value = u p p e r l i m i t + l o w e r l i m i t 2 Wages Number of Labourers Mid-value 300 - 399 20 349 . 5 400 - 499 35 449 . 5 500 - 599 50 549 . 5 600 - 699 25 649 . 5 700 - 799 15 749 . 5 800 - 899 5 849 . 5 So, the frequency polygon of the above data

HARD

9th ICSE

IMPORTANT

Earn 100

The age of teachers of a school are recorded below:

Age (in years) $20 - 30$ $30 - 40$ $40 - 50$ $50 - 60$ $60 - 70$

No. of teachers $6$ $8$ $12$ $10$ $5$

Draw a frequency polygon on the graph.

Important Questions on Graphical Representation of Statistical Data

HARD

9th ICSE

IMPORTANT

ICSE MATHEMATICS CLASS 9>Chapter 16 - Graphical Representation of Statistical Data>EXERCISE 16>Q 6

The number of literates amongst adults in a village were listed according to their age groups.

Age(in years)	$20 - 25$	$25 - 30$	$30 - 35$	$35 - 40$	$40 - 45$	$45 - 50$
No. of literates	$95$	$80$	$62$	$46$	$25$	$15$

Draw a frequency polygon for the given data.

HARD

9th ICSE

IMPORTANT

ICSE MATHEMATICS CLASS 9>Chapter 16 - Graphical Representation of Statistical Data>EXERCISE 16>Q 7

The number of casualties due to accidents were recorded in a hospital as follows:

Age (in years)	$5 - 15$	$15 - 25$	$25 - 35$	$35 - 45$	$45 - 55$	$55 - 65$	$65 - 75$
No. of casualties	$6$	$10$	$15$	$13$	$20$	$8$	$7$

Draw a frequency polygon on the graph.

HARD

9th ICSE

IMPORTANT

ICSE MATHEMATICS CLASS 9>Chapter 16 - Graphical Representation of Statistical Data>EXERCISE 16>Q 8

The following table gives daily wages of workers in a factory.

Wages (in $₹$ )	$50 - 55$	$55 - 60$	$60 - 65$	$65 - 70$	$70 - 75$	$75 - 80$
No. of workers	$5$	$12$	$20$	$17$	$8$	$5$

Draw a frequency polygon for the above data.

HARD

9th ICSE

IMPORTANT

ICSE MATHEMATICS CLASS 9>Chapter 16 - Graphical Representation of Statistical Data>EXERCISE 16>Q 9

The following distribution shows the height of students in a school.

Height (in cm)	$140 - 145$	$145 - 150$	$150 - 155$	$155 - 160$	$160 - 165$	$165 - 170$	$170 - 175$
No. of students	$12$	$16$	$28$	$24$	$12$	$8$	$5$

Draw a frequency polygon

HARD

9th ICSE

IMPORTANT

ICSE MATHEMATICS CLASS 9>Chapter 16 - Graphical Representation of Statistical Data>EXERCISE 16>Q 10

A family with a monthly income of $₹ 22000$ plans the following expenditure per month on different items

Items	Food	Rent	Education	Medicine	Fuel	Entertainment	Miscellaneous	Savings
Expenditure $(i n ₹)$	$6500$	$4000$	$2500$	$1000$	$2000$	$1000$	$4000$	$1000$

Represent the above table by a bar graph.

HARD

9th ICSE

IMPORTANT

ICSE MATHEMATICS CLASS 9>Chapter 16 - Graphical Representation of Statistical Data>MISCELLANEOUS EXERCISE>Q 1

The following table shows the number of students playing different games in a school.

Game	Hockey	Cricket	Football	Basketball	Volleyball
Number of students	$60$	$95$	$80$	$40$	$55$

Represent the above in a bar graph.

HARD

9th ICSE

IMPORTANT

ICSE MATHEMATICS CLASS 9>Chapter 16 - Graphical Representation of Statistical Data>MISCELLANEOUS EXERCISE>Q 2

Draw a frequency polygon for the following

Daily wages	$71 - 80$	$81 - 90$	$91 - 100$	$101 - 110$	$111 - 120$
Number of workers	$5$	$8$	$13$	$5$	$9$

HARD

9th ICSE

IMPORTANT

ICSE MATHEMATICS CLASS 9>Chapter 16 - Graphical Representation of Statistical Data>MISCELLANEOUS EXERCISE>Q 3

The table given below shows the daily wages of labourers in a factory.

Wages $(i n ₹)$	$300 - 399$	$400 - 499$	$500 - 599$	$600 - 699$	$700 - 799$	$800 - 899$
Number of Labourers	$20$	$35$	$50$	$25$	$15$	$5$

Draw frequency poly to represent the above data

Age (in years)	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$	$60 - 70$
No. of teachers	$6$	$8$	$12$	$10$	$5$

The age of teachers of a school are recorded below: Age (in years) 20-30 30-40 40-50 50-60 60-70 No. of teachers 6 8 12 10 5 Draw a frequency polygon on the graph.

Important Questions on Graphical Representation of Statistical Data

Learn and Prepare for any exam you want !

The age of teachers of a school are recorded below:

Age (in years) $20 - 30$ $30 - 40$ $40 - 50$ $50 - 60$ $60 - 70$

No. of teachers $6$ $8$ $12$ $10$ $5$

Draw a frequency polygon on the graph.