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Students of a class voted for their favorite color and a pie chart was prepared based on the data collected. Which of the following is a reasonable conclusion for the given data?

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\frac{1}{20} th

student voted for blue colour.

Green is the least popular colour.

The number of students who voted for other colours is two times the number of students who voted for yellow colour

Number of student liking together yellow and green colour is approximately the same as those for red colour.

answer is D.

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Detailed Solution

Given a survey about favorite colors of students in form of pie chart.
Question Image

The whole pie chart is

100 %

.
So, students who like blue color

= \frac{25}{100}

\Rightarrow

Students who like blue color

= \frac{1}{4}

So,

\frac{1}{4} th

of students voted for blue color.
From the pie chart, the color least chosen is others not green.
The percentage of students who voted for yellow

= 14 % .

The percentage of students who voted for others

= 6 %

.
And,

6 % \neq 2 \times 14 %

.
Students who like green and yellow

= 14 % + 20

\Rightarrow

Students who like green and yellow =

34

% students, which is just about similar to votes for red colour that is

35

%.
So, this conclusion is reasonable.
Hence, the correct option is 4.

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