Construction of Pie Chart
Now we will discuss about the construction of pie chart or pie graph. In brief let us recall about, what is a pie chart?
It is a circular graph which is used to represent data. In this :
● Various observations of the data are represented by the sectors of the circle.
● The total angle formed at the centre is 360°.
● The whole circle represents the sum of the values of all the components.
● The angle at the centre corresponding to the particular observation component is given by
● If the values of observation/components are expressed in percentage, then the centre angle corresponding to particular observation/component is given by
How to construct a pie chart?
Steps of construction of pie chart for a given data:
● Find the central angle for each component using the formula given on the previous page.
● Draw a circle of any radius.
● Draw a horizontal radius
● Starting with the horizontal radius, draw radii, making central angles corresponding to the values of respective components.
● Repeat the process for all the components of the given data.
● These radii divide the whole circle into various sectors.
● Now, shade the sectors with different colours to denote various components.
● Thus, we obtain the required pie chart.
Solved example on
construction of pie chart/pie graph:
1. The following table shows the numbers of hours spent by a child on different events on a working day.
Represent the adjoining information on a pie chart
| Activity | No. of Hours |
| School | 6 |
| Sleep | 8 |
| Playing | 2 |
| Study | 4 |
| T. V. | 1 |
| Others | 3 |
The central angles for various observations can be calculated as:
| Activity | No. of Hours | Measure of central angle |
| School | 6 | (6/24 × 360)° = 90° |
| Sleep | 8 | (8/24 × 360)° = 120° |
| Playing | 2 | (2/24 × 360)° = 30° |
| Study | 4 | (4/24 × 360)° = 60° |
| T. V. | 1 | (1/24 × 360)° = 15° |
| Others | 3 | (3/24 × 360)° = 45° |
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Now, we shall represent these angles within the circle as different sectors. Then we now make the pie chart:
2. The favourite flavours of ice-cream for the children in a locality are given in percentage as follow. Draw the pie chart to represent the given information
| Flavours | % of Students Prefer the Flavours |
| Vanilla | 25 % |
| Strawberry | 15 % |
| Chocolate | 10 % |
| Kesar-Pista | 30 % |
| Mango Zap | 20 % |
The central angles for various observations can be calculated as:
| Flavours | % of Students Prefer the Flavours | Measure of Central Angles |
| Vanilla | 25 % | (25/100 × 360)° = 90° |
| Strawberry | 15 % | (15/100 × 360)° = 54° |
| Chocolate | 10 % | (10/100 × 360)° = 36° |
| Kesar-Pista | 30 % | (30/100 × 360)° = 108° |
| Mango Zap | 20 % | (20/100 × 360)° = 72° |
Now, we shall represent these angles within a circle to obtain the required pie graph.
● Statistics
-
Real Life Statistics
- Terms Related to Statistics
- Frequency Distribution of Ungrouped and Grouped Data
- Use of Tally Marks
- Class Limits in Exclusive and Inclusive Form
- Construction of Bar Graphs
- Mean
- Mean of the Tabulated Data
- Mode
- Median
- Construction of Pie Chart
- How to Construct a Line Graph?
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