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Data Handling III (Pictorial Representation of Data as Pie Charts or Circle Graphs) Exercise 25.1

Question: 1

The number of hours, spent by a school boy on different activities in a working day, is given below:


	
		
	
	

		

			
Activities
			
Sleep
			
School
			
Home
			
Play
			
Others
			
Total
		
		

			
Number of hours
			
8
			
7
			
4
			
2
			
3
			
24
		
	


Present the information in the form of a pie-chart.

Solution:

We know:

Central angle of a component = (component value / sum of component values × 360) Here, total number of hours = 24

Thus, the central angle for each component can be calculated as follows:


	
		
	
	

		

			
Activity
			
Number of hours
			
Sector angle
		
		

			
Sleep
			
8
			
8/24 × 360 = 120°
		
		

			
School
			
7
			
7/24 × 360 = 105°
		
		

			
Home
			
4
			
4/24 × 360 = 60°
		
		

			
Play
			
2
			
2/24 × 360 = 30°
		
		

			
Others
			
3
			
3/24 × 360 = 45°\
		
	


Now, the pie chat that represents the given data can be constructed by following the steps given below: 

Step 1: Draw a circle of an appropriate radius.

Step 2: Draw a vertical radius of the circle drawn in step 1.

Step 3: Choose the largest central angle. Here, the largest central angle is 120°. Draw a sector with the central angle 120° in such a way that one of its radii coincides with the radius drawn in step 2 and another

radius is in its counter-clockwise direction.

Step 4: Construct other sectors representing other items in the clockwise direction in descending order of magnitudes of their central angles.

Step 5: Shade the sectors with different colours and label them as shown as in the figure below.



 

Question: 2

Employees of a company have been categorized according to their religions as give


	
		
	
	

		

			
Religions
			
Hindu
			
Muslim
			
Sikh
			
Christian
			
Total
		
		

			
Number of workers
			
420
			
300
			
22
			
10
			
108
		
	


Draw a pie-chart to represent the above information.

Solution:

We know:

Central angle of a component = (component value / sum of component values     3

Here, total number of workers = 1050

Thus, the central angle for each component can be calculated as follows:



Note: The total number of workers is 1050, not 1080.

Now, the pie chat that represents the given data can be constructed by following the steps below: 

Step 1 : Draw circle of an appropriate radius.

Step 2 : Draw a vertical radius of the circle drawn in step 1.

Step 3 : Choose the largest central angle. Here, the largest central angle is 144o. Draw a sector with the central angle 144o in such a way that one of its radii coincides with the radius drawn in step 2 and another

radius is in its counter clockwise direction.

Step 4 : Construct other sectors representing other items in the clockwise direction in the descending order of magnitudes of their central angles.

Step 5 : Shade the sectors with different colours and label them as shown as in the figure below.



 

Question: 3

In one day the sales (in rupees) of different items of a baker's shop are given below:



	

		

			
Items
			
Ordinary bread
			
Fruit bread
			
Cakes and Pastries
			
Biscuits
			
Others
			
Total
		
		

			
Sales (in Rs)
			
260
			
40
			
100
			
60
			
20
			
480
		
	



Draw a pie-chart representing the above sales.

Solution:





 

Question: 4

The following data shows the expenditure of a person on different items during a month. Represent the data by a pie-chart.



	

		

			
Items of expenditure
			
Rent
			
Education
			
Food
			
Clothing
			
Others
		
		

			
Amount (in Rs)
			
2700
			
1800
			
2400
			
1500
			
2400
		
	



Solution:





 

Question: 5

The percentages of various categories of workers in a state are given in the following table.



	

		

			
Categoies
			
Culti-vators
			
Agricultural Labourers
			
Industrial Workers
			
Commercial Workers
			
Others
		
		

			
% of workers
			
40
			
25
			
12.5
			
10
			
12.5
		
	



Present the information in the form a pie-chart.

Solution:





 

Question: 6

The following table shows the expenditure incurred by a publisher in publishing a book:



	

		

			
Items
			
Paper
			
Printing
			
Binding
			
Advertising
			
Miscellaneous
		
		

			
Expenditure (in%)
			
35%
			
20%
			
10%
			
5%
			
30%
		
	



Present the above data in the form of a pie-chart.

Solution:





 

Question: 7

Percentage of the different products of a village in a particular district are given below. Draw a pie-chart representing this information.



Solution:

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