Draw a pie-diagram representing the relative frequencies (expressed as percentage) of the eight classes as given below:
12.6, 18.2, 17.5, 20.3, 2.8, 4.2, 9.8, 14.7
Central angle of a component = (component value/sum of component values x 360)
Here, total amount = 100.1%
Thus, central angle for each component can be calculated as follows:
|Item||Amount (in %)||Sector angle|
|Class I||12.6||12.6/100.1 x 360 = 45.3|
|Class II||18.2||18.2/100.1 x 360 = 65.5|
|Class III||17.5||17.5/100.1 x 360 = 62.9|
|Class IV||20.3||20.3/100.1 x 360 = 73|
|Class V||2.8||2.8/100.1 x 360 = 10.1|
|Class VI||4.2||4.2/100.1 x 360 = 15.1|
|Class VII||9.8||9.8/100.1 x 360 = 35.2|
|Class VIII||14.7||14.7/100.1 x 360 = 52.9|
Total = 100.1%
Now, the pie chat representing 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 73o. Draw a sector with the central angle 73o 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 the other items in the clockwise sense 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.
Video Tutorials For All Subjects
- Circle Graph Or Pie Chart - Drawing Pie Charts