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Question 13 Marks
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 $150$
Draw a pie chart to show this information.
Answer
The required pie chart can be shown as below:
Season People who voted for it In fraction fractions of $360^\circ$
Winter $150$ $\frac{5}{12}$ $\frac{5}{12}$ of $360^\circ = 150^\circ$
Summer $90$ $\frac{1}{4}$ $\frac{1}{4}$ of $360^\circ = 90^\circ$
Rainy $120$ $\frac{1}{3}$ $\frac{1}{3}$ of $360^\circ = 120^\circ$
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Question 23 Marks
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 $150$
Find the central angle of each sector?
Answer


Suppose that $x$ young people were surveyed. Then, the number of young people who liked classical music $= 10\%$ of $x$
$ = x \times \frac{{10}}{{100}}$
$ = \frac{x}{{10}}$
According to the question,
$\frac{x}{{10}} = 20$
$\therefore x = 20 \times 10$
$\therefore x = 200$ hence, $200$ young people were surveyed.
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