Pie Chart


 
 
Concept Explanation
 

Pie Chart

Pie Chart: Pie chart is a way of representing simple data  for easy understanding. A  pie chart consists of  sectors  of a circle. The size of each sector is directly perportional to the component part or information it represents. 

Central angle for a component = (FREQUENCY/TOTAL FREQUENCY) 360 

PIE CHART Construction:

  • 1. Convert the data into a percentage.
  • 2. Convert the percentage into degrees of the central angle.
  • 3. Divide the circle into sectors according to the central angle.
  • 4. Shade or colour each sector differently.
  • 5. Give a key for the shading used.
  • 6. Give a heading to the pie chart .
  •  Example: There are 216 workers in a factory as per list given below: 

       Cadre    Labourer   Mechanic   Fitter   Supervisor   Clerk  

    No. of Workers

    75

    60

    36

    27

    18

    Represent the above data by a pie chart.Solution:Total number of workers = 216.

    Calculation of Central Angles  

        Cadre     No. of Workers    Central Angle 

    Labourer

    75

    (75/216 × 360)° = 125°

    Mechanic

    60

    (60/216 × 360)° = 100°

    Fitter

    36

    (36/216 × 360)° = 60°

    Supervisor

    27

    (27/216 × 360)° = 45°

    Clerk

    18

    (18/216 × 360)° = 30°

    EXAMPLE:

  • 1. Draw a circle of any convenient radius.
  • 2. Draw a horizontal radius of this circle.
  • 3. Draw sectors starting from the horizontal radious with central angles of 125 degree, 100 degree, 60 degree, 45 degree and 30 degree respectively.
  • 4. Shade the sectors differently using different colors and label them.
  • Thus, we obtain the required pie chart, as shown in the given figure.

    Sample Questions
    (More Questions for each concept available in Login)
    Question : 1

    The table shows the number of cups of four different beverage sold by a coffee shop in a certain day. The angle of sector in a pie chart representing coffee is : 

    BeverageNumber of cups
    Coffee60
    Tea75
    Hot chocolate25
    Milk40
    Right Option : C
    View Explanation
    Explanation
    Question : 2

    The table shows the frequency distribution of grades obtained by 120 students. The data is represented in the following pie chart. Which sector is in correctly labelled ?

    GradeABCD
    Frequency2050455
    Right Option : D
    View Explanation
    Explanation
    Question : 3

    The table shows the number of cups of four different beverage sold by a coffee shop in a certain day. The angle of sector in a pie chart representing hot chocolate is: 

    BeverageNumber of cups
    Coffee60
    Tea75
    Hot chocolate25
    Milk40
    Right Option : B
    View Explanation
    Explanation
     
     


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