In a school, the weekly pocket money of 50 students is as follows: Weekly pocket money (in ₹ ) 50 100 150 200 250 300 No. of students 2 8 12 14 8 6 Draw a frequency polygon on the graph.

Given, Weekly pocket money (in ₹ ) 50 100 150 200 250 300 No. of students 2 8 12 14 8 6 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 weekly pocket money on x - axis and Number of students on y - axis.

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.

Given, Age (in years) 20 - 30 30 - 40 40 - 50 50 - 60 60 - 70 No. of teachers 6 8 12 10 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 age on x - axis and Number of teachers on y - axis and the middle value as follows: Age (in years) 20 - 30 30 - 40 40 - 50 50 - 60 60 - 70 Middle value 25 35 45 55 65 No. of teachers 6 8 12 10 5

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

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

MEDIUM

9th ICSE

IMPORTANT

Earn 100

Draw a frequency polygon for the following data:

Profit (in $₹$ ) $100$ $200$ $300$ $400$ $500$

Number of shops $12$ $18$ $28$ $20$ $17$

Important Questions on Graphical Representation of Statistical Data

MEDIUM

9th ICSE

IMPORTANT

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

Draw a frequency polygon for the following data:

Profit (in $₹$ )	$100$	$200$	$300$	$400$	$500$
Number of shops	$12$	$18$	$28$	$20$	$17$

MEDIUM

9th ICSE

IMPORTANT

ICSE MATHEMATICS CLASS 9>Chapter 16 - Graphical Representation of Statistical Data>EXERCISE 16>Q 4

In a school, the weekly pocket money of $50$ students is as follows:

Weekly pocket money (in $₹$ )	$50$	$100$	$150$	$200$	$250$	$300$
No. of students	$2$	$8$	$12$	$14$	$8$	$6$

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 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.

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 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.

Draw a frequency polygon for the following data: Profit (in ₹) 100 200 300 400 500 Number of shops 12 18 28 20 17

Important Questions on Graphical Representation of Statistical Data

Learn and Prepare for any exam you want !

Draw a frequency polygon for the following data:

Profit (in $₹$ ) $100$ $200$ $300$ $400$ $500$

Number of shops $12$ $18$ $28$ $20$ $17$