Which of the following is a reasonable conclusion for the given data?

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120

th student voted for blue colour.

Green is the least popular colour

The number of students who voted for red colour is two times the number of student who voted for yellow colour

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

answer is D.

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Detailed Solution

The information about the student’s vote on colours is given.
Question Image

For option 1),
Number of student voted for blue colour is given by,

\frac{25}{100} = \frac{1}{4}

\frac{1}{4}

th student liked the blue colour.
Hence, option 1) is not correct.
For option 2),
By comparing the percentage of students liked colours, we can conclude that 25% like blue colour, 35% liked red colour, 20% liked green green colour, 14% like yellow colour and 6% liked others.
So, the other colours are the least popular since it is very low when compared with all other colours.
So option 2) is not correct.
For option 3),
The number of students voted for red colour = 35%
The number of students voted for yellow colour = 14%
According to the statement,
The number of students voted for red colour = The number of students voted for yellow colour.
But,

35 % \neq 2 (14 %)

So option 3) is not correct.
Consider option 4),
Yellow is liked by

14 %

and green is liked by

20 %

.
Calculate green and yellow liked together.
Green and yellow liked together by

= 14 + 20 %

students.
Therefore, green and yellow liked together by

= 34 %

students.
Observe that, votes for red colour are

35 %

which is similar to green and yellow liked together. Hence, number of students liking together yellow and green colours is approximately the same as those for red colour.
Therefore, option 4) is correct.

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