Represent the following data by a pie diagram:


Items of expenditure



Expenditure



Family A



Family B



Food


Clothing


Rent


Education


Miscellaneous



4000


2500


1500


400


1600



6400


480


3200


1000


600



Total



10000



11680



Here the total expenditure of family A = 10000 and family B = 11680


So,


The central angle for family A = × 360°


The central angle for family B = × 360°


Hence, the central angle for each activity will be calculated as follows


Item



Expenditure (Family A)



Sector angle (degree) (Family A)



Expenditure
(Family B)



Sector angle (degree)
(Family B)



Food



4000



4000/10000 × 360 = 144



6400



6400/11680 × 360 = 197.3



Clothing



2500



2500/10000 × 360 = 90



480



480/11680 × 360 = 14.8



Rent



1500



1500/10000 × 360 = 54



3200



3200/11680 × 360 = 98.6



Education



400



400/10000 × 360 = 14.4



1000



1000/11680 × 360 = 30.8



Miscellaneous



1600



1600/10000 × 360 = 57.6



600



600/11680 × 360 = 18.5



Steps for construction of representation of data in pie chart


Step 1: Draw the circle of appropriate radius.


Step 2 : Choose a radius anywhere inside the circle.


Step 3 : Now draw a sector of calculated component’s central angle. It is always preferable to choose component with largest central angle first and then continue in descending order of magnitude of their central angle.


Step 4: After drawing sectors, shade them with different colours and label them as shown in the figure.




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