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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:  