Pie Charts:
A pie chart is most suitable when we want to show the relative size of each data set in proportion to the entire data set.
Q.1. The pie chart shows the sources of revenue of a publishing company.
i) Express the revenue the company earns from newspapers as a percentage of the total revenue of the company.
ii) Express the revenue of the company earns from magazines as a percentage of the total revenue of the company.
iii) If the revenue the company earns from books is 17.5 % of the total revenue of the company, find the value of x.
Solution:
i) 180/360 X 100%
= 50% Ans.
ii) 72/360 X 100%
= 20% Ans
Q.2. A survey is conducted to find out which of the four ice-cream flavours, chocolate, yam, mango and vanilla, the students in a class prefer. The pie chart shows the results of the survey.
i) If one-quarter of the class prefers yam, state the angle of the sector that represents this information.
ii) Find the angle of the sector that represents the number of students who prefer vanilla.
iii) If 5 students who mango, find the total number of students in the class.
iv) Express the number of students who prefer vanilla as a percentage of the total number of students in the class.
Solution:
I) If one-quarter of the class prefers yam, state the angle of the sector that represents = 90
ii) Sum of angles = 360
Total number of students who prefer chocolate, yam, mango = ( 120 + 90 + 50)
= 260
The number of students who prefer vanilla = (360 - 260)
= 100 Ans.
iii) If 5 students prefer mango, so total number of students in the class = 360/50 X 5
= 36 Ans.
Q.6. The pie chart shows the distribution of students and teachers in a school.
a) If there are five times as many female students as teachers in the school, find the angle of the sector that represents the number of teachers in the school.
b) If there are 45 teachers in the school,
i) find the number of female students in the school
ii) find the number of male students in the school
c) If 2/3 of the teachers are women, express the number of females in the school as a percentage of the total school population.
