Question

A survey of students was made to know which game they like. The data obtained in the survey is presented in the adjacent pie diagram. If the total number of students are 1000,

(1) How many students like cricket ?
(2) How many students like football ?
(3) How many students prefer other games ?

Answer 1

(1)
Number of students like cricket = $\frac{\mathrm{Central}\mathrm{angle}\mathrm{for}\mathrm{cricket}}{360°}\times \mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{students}$
$=\frac{81°}{360°}\times 1000$
= 225
Hence, 225 students like cricket.
(2)
Number of students like football = $\frac{\mathrm{Central}\mathrm{angle}\mathrm{for}\mathrm{football}}{360°}\times \mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{students}$
$=\frac{63°}{360°}\times 1000$
= 175
Hence, 175 students like football.
(3)
Number of students like other games = $\frac{\mathrm{Central}\mathrm{angle}\mathrm{for}\mathrm{other}\mathrm{games}}{360°}\times \mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{students}$
$=\frac{72°}{360°}\times 1000$
= 200
Hence, 200 students like other games.