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

The following table shows the height of 60 athletes in a team.Draw a frequency polygon of the given data. Height (in cm) 140 - 150 150 - 160 160 - 170 170 - 180 180 - 190 190 - 200 Number of athletes 4 10 14 18 8 6

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 Height(in cm) No. of athletes Mid value 140 - 150 4 145 150 - 160 10 155 160 - 170 14 165 170 - 180 18 175 180 - 190 8 185 190 - 200 6 195 So, the frequency polygon of the above data

E M B I B E

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

B Nirmala Shastry Solutions for Exercise 2: MISCELLANEOUS EXERCISE

Author:B Nirmala Shastry

B Nirmala Shastry Mathematics Solutions for Exercise - B Nirmala Shastry Solutions for Exercise 2: MISCELLANEOUS EXERCISE

Attempt the practice questions from Exercise 2: MISCELLANEOUS EXERCISE 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 2: MISCELLANEOUS EXERCISE with Hints & Solutions

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

EASY

9th ICSE

IMPORTANT

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

The frequency polygon below represents the marks obtained by some candidates in a test.Using the data in the diagram, prepare a frequency distribution table.