Ex.5.2 Q3 Data Handling Solutions - NCERT Maths Class 8
Question
Draw a pie chart showing the following information. The table shows the colours preferred by a group of people.
Colours |
No. of People |
Blue |
\(18\) |
Green |
\(9\) |
Red |
6 |
Yellow |
\(3\) |
Total |
\(36\) |
Text Solution
What is known?
Distribution of the colours preferred by a group of people
What is unknown?
Pie chart of the given information.
Reasoning:
A circle graph or pie chart shows the relationship between a whole and its parts.
Steps:
Here, Total angle \(= 360^\circ\) and Total number of people \(= 36\)
The central angle for each colours can be calculated as below:
Colours |
No. of People |
In Fraction |
Central Angles |
Blue |
\(18\) |
\(\begin{align}\frac{{18}}{{36}} = \frac{1}{2}\end{align}\) |
\(\begin{align}\frac{1}{2} \times {360^{\rm{o}}} = {180^{\rm{o}}}\end{align}\) |
Green |
\(9\) |
\(\begin{align}\frac{9}{{36}} = \frac{1}{4}\end{align}\) |
\(\begin{align}\frac{1}{4} \times {360^{\rm{o}}} = {90^{\rm{o}}}\end{align}\) |
Red |
\(6\) |
\(\begin{align}\frac{6}{{36}} = \frac{1}{6}\end{align}\) |
\(\begin{align}\frac{1}{6} \times {360^{\rm{o}}} = {60^{\rm{o}}}\end{align}\) |
Yellow |
\(3\) |
\(\begin{align}\frac{3}{{36}} = \frac{1}{{12}}\end{align}\) |
\(\begin{align}\frac{1}{{12}} \times {360^{\rm{o}}} = {30^{\rm{o}}}\end{align}\) |