A group of 360 people were asked to vote for their favourite season from the three seasons rainy, winter and summer. (i) Which season got the most votes?

(i) From above table, the winter season got most votes: 150
(ii) to calculate central angle:
We must know total votes = 90 + 120 + 150 = 360
By treating 360° as an angle, all three seasons combining together, it represents a complete one revolution.
Since, number of votes for summer season = 90 votes ⇒ central angle of Summer season sector is = 90/360 × 360° = 90°
Similar way for other two seasons,
Votes for Rainy season is = 120 votes ⇒ Central angle = 120/360 × 360° = 120°
Votes for Winter season = 150 votes ⇒ Central angle = 150/360 × 360° = 150°
(iii)