The following table gives the data about the people in a society who were asked about their profession. Profession Doctors Engineers Lawyers Teachers Company Executives Others Men 5 11 2 1 8 12 Women 3 2 4 7 4 10 Draw a compound bar graph.

Given, Profession Doctors Engineers Lawyers Teachers Company Executives Others Men 5 11 2 1 8 12 Women 3 2 4 7 4 10 We know, A bar graph is a pictorial representation of data in which bars of uniform width are drawn with equal spacing between them. The height of the bars depend on the values of the variable. A compound bar graph is used to represent the discrete value for more than one object that shares the same category. Therefore, we get: A compound bar graph is drawn on a graph paper with profession on x - axis and type of people on y - axis .

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

Given, Profit (in ₹ ) 100 200 300 400 500 Number of shops 12 18 28 20 17 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 profit on x - axis and Number of shops on y - axis.

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

B Nirmala Shastry Solutions for Exercise 1: EXERCISE 16

Author:B Nirmala Shastry

B Nirmala Shastry Mathematics Solutions for Exercise - B Nirmala Shastry Solutions for Exercise 1: EXERCISE 16

Attempt the practice questions from Exercise 1: EXERCISE 16 with hints and solutions to strengthen your understanding. ICSE MATHEMATICS CLASS 9 solutions are prepared by Experienced Embibe Experts.

Questions from B Nirmala Shastry Solutions for Exercise 1: EXERCISE 16 with Hints & Solutions

MEDIUM

9th ICSE

IMPORTANT

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

The following table gives the data about the people in a society who were asked about their profession.

Profession	Doctors	Engineers	Lawyers	Teachers	Company Executives	Others
Men	$5$	$11$	$2$	$1$	$8$	$12$
Women	$3$	$2$	$4$	$7$	$4$	$10$

Draw a compound bar graph.

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.

B Nirmala Shastry Solutions for Exercise 1: EXERCISE 16

B Nirmala Shastry Mathematics Solutions for Exercise - B Nirmala Shastry Solutions for Exercise 1: EXERCISE 16

Questions from B Nirmala Shastry Solutions for Exercise 1: EXERCISE 16 with Hints & Solutions

Learn and Prepare for any exam you want !