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:

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.

Solution:

 

Question: 5

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

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:

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: