Ex.5.2 Q2 Data Handling Solutions - NCERT Maths Class 8
Question
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?
(ii) Find the central angle of each sector.
(iii)Draw a pie chart to show this information.
Season | No. of votes | |
Summer | \(90\) | |
Rainy | \(120\) | |
Winter | \(150\) |
Text Solution
What is known?
Voting distribution of \(360\) people for their favorite season.
What is unknown?
(i) The season got the most votes
(ii) The central angle of each sector
(iii) Pie chart that depicts this information
Reasoning:
A circle graph or pie chart shows the relationship between a whole and its parts.
Steps:
(i) By observing the given data,winter season got the most votes.
(ii) Central angle of summer
\(\begin{align} =\frac{90^{\circ} \times 360^{\circ}}{360^{\circ}}=90^{\circ} \end{align}\)
Central angle of rainy season
\(\begin{align} =\frac{120^{\circ} \times 360^{\circ}}{360^{\circ}}=120^{\circ} \end{align}\)
Central angle of winter season
\(\begin{align} =\frac{150^{\circ} \times 360^{\circ}}{360^{\circ}}=150^{\circ} \end{align}\)
(iii)