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2. A group of 360 people were asked to vote for their favourite season from the three seasons rainy, winter and summer.

Season       No. of Votes
Summer 90
Rainy 120
Winter 150

(i) Which season got the most votes?

(ii) Find the central angle of each sector.

(iii) Draw a pie chart to show this information.

Answers (1)

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Season       No. of Votes
Summer 90
Rainy 120
Winter 150

(i) Winter season got the most votes (i.e) $150$.

(ii)  Total Votes$ = 90+120+150 = 360$

The central angle of summer $=\frac{90^{\circ}}{360^{\circ}} \times 360^{\circ}=90^{\circ}$

The central angle of rainy $=\frac{120^{\circ}}{360^{\circ}} \times 360^{\circ}=120^{\circ}$

The central angle of winter $=\frac{150^{\circ}}{360^{\circ}} \times 360^{\circ}=150^{\circ}$

(iii) With the help of the central angles calculated, let us draw a pie chart. 

Posted by

seema garhwal

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