A campus poll covering 300 under-graduate students was conducted in order to study the students’ attitude towards a proposed change in the rules for hostel accommodation. The students were required to respond as ‘support’, ‘neutral’ or ‘oppose’ with regard to the issue. The poll outcome was presented as a pie chart as given below:
\nThe numbers for ‘support’, ‘neutral’ and ‘oppose’ are respectively<\/p>\n
[amp_mcq option1=”150, 90, 60″ option2=”120, 100, 80″ option3=”80, 100, 120″ option4=”60, 90, 150″ correct=”option1″]<\/p>\n
To find the number of students in each category, we calculate the proportion of the total angle for each category and multiply it by the total number of students.
\nNumber of students who ‘support’ = (Angle of Support Sector \/ Total Angle) * Total Students
\nNumber of students who ‘support’ = (180 \/ 360) * 300 = (1\/2) * 300 = 150.<\/p>\n
Number of students who are ‘neutral’ = (Angle of Neutral Sector \/ Total Angle) * Total Students
\nNumber of students who are ‘neutral’ = (108 \/ 360) * 300.
\nSimplifying the fraction 108\/360: Divide by 36: 108\/36 = 3, 360\/36 = 10.
\nNumber of students who are ‘neutral’ = (3\/10) * 300 = 3 * 30 = 90.<\/p>\n
Number of students who ‘oppose’ = (Angle of Oppose Sector \/ Total Angle) * Total Students
\nNumber of students who ‘oppose’ = (72 \/ 360) * 300.
\nSimplifying the fraction 72\/360: Divide by 72: 72\/72 = 1, 360\/72 = 5. (Alternatively, divide by 36: 72\/36 = 2, 360\/36 = 10, so 2\/10 = 1\/5)
\nNumber of students who ‘oppose’ = (1\/5) * 300 = 60.<\/p>\n